Search a number
-
+
420232413400310 = 25717479901758867
BaseRepresentation
bin101111110001100101111101…
…1101110010100110011110110
32001002220211022102112122111202
41133203023323232110303312
5420040041440312302220
64045432034450532502
7154341534645164510
oct13743137356246366
92032824272478452
10420232413400310
11111998624a23275
123b16ba34b97132
1315063992213b64
1475ab50073cbb0
15338b321d84275
hex17e32fbb94cf6

420232413400310 has 128 divisors (see below), whose sum is σ = 934900509413376. Its totient is φ = 132705629337600.

The previous prime is 420232413400307. The next prime is 420232413400369. The reversal of 420232413400310 is 13004314232024.

It is a super-2 number, since 2×4202324134003102 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 553383497 + ... + 554142363.

It is an arithmetic number, because the mean of its divisors is an integer number (7303910229792).

Almost surely, 2420232413400310 is an apocalyptic number.

420232413400310 is an abundant number, since it is smaller than the sum of its proper divisors (514668096013066).

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

420232413400310 is a wasteful number, since it uses less digits than its factorization.

420232413400310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768846.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 420232413400310 its reverse (13004314232024), we get a palindrome (433236727632334).

The spelling of 420232413400310 in words is "four hundred twenty trillion, two hundred thirty-two billion, four hundred thirteen million, four hundred thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 17 34 35 47 70 85 94 119 170 235 238 329 470 595 658 799 1190 1598 1645 3290 3995 5593 7990 9901 11186 19802 27965 49505 55930 69307 99010 138614 168317 336634 346535 465347 693070 758867 841585 930694 1178219 1517734 1683170 2326735 2356438 3257429 3794335 4653470 5312069 5891095 6514858 7588670 7910899 10624138 11782190 12900739 15821798 16287145 25801478 26560345 32574290 35666749 39554495 53120690 55376293 64503695 71333498 79108990 90305173 110752586 129007390 178333745 180610346 249667243 276881465 356667490 451525865 499334486 553762930 606334733 903051730 1212669466 1248336215 2496672430 3031673665 4244343131 6063347330 7513542167 8488686262 15027084334 21221715655 37567710835 42443431310 52594795169 75135421670 105189590338 127730216839 255460433678 262973975845 353136481849 525947951690 638651084195 706272963698 894111517873 1277302168390 1765682409245 1788223035746 2471955372943 3531364818490 4470557589365 4943910745886 6003320191433 8941115178730 12006640382866 12359776864715 24719553729430 30016600957165 42023241340031 60033201914330 84046482680062 210116206700155 420232413400310