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12430410432 = 2631119309769
BaseRepresentation
bin10111001001110100…
…10000001011000000
31012002022000021110120
423210322100023000
5200424141113212
65413242500240
7620015513436
oct134472201300
935068007416
1012430410432
1152a9708380
1224aab04680
131231392b5b
1485cc5ad56
154cb43e88c
hex2e4e902c0

12430410432 has 112 divisors (see below), whose sum is σ = 37767158400. Its totient is φ = 3568527360.

The previous prime is 12430410431. The next prime is 12430410439. The reversal of 12430410432 is 23401403421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12430410431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114757 + ... + 195012.

Almost surely, 212430410432 is an apocalyptic number.

12430410432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12430410432 is an abundant number, since it is smaller than the sum of its proper divisors (25336747968).

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

12430410432 is a wasteful number, since it uses less digits than its factorization.

12430410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309814 (or 309804 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12430410432 its reverse (23401403421), we get a palindrome (35831813853).

The spelling of 12430410432 in words is "twelve billion, four hundred thirty million, four hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 132 152 176 192 209 228 264 304 352 418 456 528 608 627 704 836 912 1056 1216 1254 1672 1824 2112 2508 3344 3648 5016 6688 10032 13376 20064 40128 309769 619538 929307 1239076 1858614 2478152 3407459 3717228 4956304 5885611 6814918 7434456 9912608 10222377 11771222 13629836 14868912 17656833 19825216 20444754 23542444 27259672 29737824 35313666 40889508 47084888 54519344 59475648 64741721 70627332 81779016 94169776 109038688 129483442 141254664 163558032 188339552 194225163 218077376 258966884 282509328 327116064 376679104 388450326 517933768 565018656 654232128 776900652 1035867536 1130037312 1553801304 2071735072 3107602608 4143470144 6215205216 12430410432