Search a number
-
+
403021221421230 = 23457961910174783
BaseRepresentation
bin101101110100010111011000…
…0101111010110000010101110
31221211222110012212101021210000
41123220232300233112002232
5410311044430140434410
63545053220531125130
7150614215400200236
oct13350566057260256
91854873185337700
10403021221421230
11107462381829225
12392502677437a6
13143b597980a029
14717448cb30cc6
15318d79095adc0
hex16e8bb0bd60ae

403021221421230 has 160 divisors (see below), whose sum is σ = 1099169705779200. Its totient is φ = 105940481370048.

The previous prime is 403021221421223. The next prime is 403021221421307. The reversal of 403021221421230 is 32124122120304.

403021221421230 is a `hidden beast` number, since 4 + 0 + 3 + 0 + 2 + 1 + 2 + 2 + 1 + 421 + 230 = 666.

It is a super-2 number, since 2×4030212214212302 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 403021221421194 and 403021221421203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34522419 + ... + 44697201.

It is an arithmetic number, because the mean of its divisors is an integer number (6869810661120).

Almost surely, 2403021221421230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403021221421230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549584852889600).

403021221421230 is an abundant number, since it is smaller than the sum of its proper divisors (696148484357970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

403021221421230 is a wasteful number, since it uses less digits than its factorization.

403021221421230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10175500 (or 10175491 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 403021221421230 its reverse (32124122120304), we get a palindrome (435145343541534).

The spelling of 403021221421230 in words is "four hundred three trillion, twenty-one billion, two hundred twenty-one million, four hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 81 90 135 158 162 237 270 395 405 474 619 711 790 810 1185 1238 1422 1857 2133 2370 3095 3555 3714 4266 5571 6190 6399 7110 9285 10665 11142 12798 16713 18570 21330 27855 31995 33426 48901 50139 55710 63990 83565 97802 100278 146703 167130 244505 250695 293406 440109 489010 501390 733515 880218 1320327 1467030 2200545 2640654 3960981 4401090 6601635 7921962 10174783 13203270 19804905 20349566 30524349 39609810 50873915 61048698 91573047 101747830 152621745 183146094 274719141 305243490 457865235 549438282 803807857 824157423 915730470 1373595705 1607615714 1648314846 2411423571 2747191410 4019039285 4120787115 4822847142 6298190677 7234270713 8038078570 8241574230 12057117855 12596381354 14468541426 18894572031 21702812139 24114235710 31490953385 36171353565 37789144062 43405624278 56683716093 62981906770 65108436417 72342707130 94472860155 108514060695 113367432186 130216872834 170051148279 188945720310 217028121390 283418580465 325542182085 340102296558 497557063483 510153444837 566837160930 651084364170 850255741395 995114126966 1020306889674 1492671190449 1700511482790 2487785317415 2550767224185 2985342380898 4478013571347 4975570634830 5101534448370 7463355952245 8956027142694 13434040714041 14926711904490 22390067856735 26868081428082 40302122142123 44780135713470 67170203570205 80604244284246 134340407140410 201510610710615 403021221421230