Search a number
-
+
430021422302140 = 2253119915312276513
BaseRepresentation
bin110000111000110100010101…
…0000111110100001110111100
32002101120122110021210120121201
41201301220222013310032330
5422330432333102132030
64122325040400305244
7156402010502026114
oct14161505207641674
92071518407716551
10430021422302140
11115022074288389
1240291048312224
13155c3accc21616
14782920db56044
1534aac9d9712ca
hex1871a2a1f43bc

430021422302140 has 96 divisors (see below), whose sum is σ = 937472107622400. Its totient is φ = 165515170867200.

The previous prime is 430021422302137. The next prime is 430021422302281. The reversal of 430021422302140 is 41203224120034.

It is a junction number, because it is equal to n+sod(n) for n = 430021422302099 and 430021422302108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187756524 + ... + 190033036.

It is an arithmetic number, because the mean of its divisors is an integer number (9765334454400).

Almost surely, 2430021422302140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430021422302140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468736053811200).

430021422302140 is an abundant number, since it is smaller than the sum of its proper divisors (507450685320260).

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

430021422302140 is a wasteful number, since it uses less digits than its factorization.

430021422302140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278283 (or 2278281 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 430021422302140 its reverse (41203224120034), we get a palindrome (471224646422174).

The spelling of 430021422302140 in words is "four hundred thirty trillion, twenty-one billion, four hundred twenty-two million, three hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 199 310 398 620 796 995 1531 1990 3062 3980 6124 6169 7655 12338 15310 24676 30620 30845 47461 61690 94922 123380 189844 237305 304669 474610 609338 949220 1218676 1523345 2276513 3046690 4553026 6093380 9106052 9444739 11382565 18889478 22765130 37778956 45530260 47223695 70571903 94447390 141143806 188894780 282287612 352859515 453026087 705719030 906052174 1411438060 1812104348 2265130435 3485341403 4530260870 6970682806 9060521740 13941365612 14043808697 17426707015 28087617394 34853414030 56175234788 69706828060 70219043485 108045583493 140438086970 216091166986 280876173940 432182333972 540227917465 693582939197 1080455834930 1387165878394 2160911669860 2774331756788 3467914695985 6935829391970 13871658783940 21501071115107 43002142230214 86004284460428 107505355575535 215010711151070 430021422302140