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430143024324 = 223132409518587
BaseRepresentation
bin1100100001001101000…
…01011010110011000100
31112010021101222122212010
412100212201122303010
524021413103234244
6525334401454220
743035226244256
oct6204641326304
91463241878763
10430143024324
11156471583752
126b446041370
133174052c200
1416b675dbcd6
15b2c7d74eb9
hex642685acc4

430143024324 has 72 divisors (see below), whose sum is σ = 1089470413920. Its totient is φ = 132027846912.

The previous prime is 430143024293. The next prime is 430143024341. The reversal of 430143024324 is 423420341034.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 430143024291 and 430143024300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570159 + ... + 1088745.

Almost surely, 2430143024324 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 430143024324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544735206960).

430143024324 is an abundant number, since it is smaller than the sum of its proper divisors (659327389596).

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

430143024324 is a wasteful number, since it uses less digits than its factorization.

430143024324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519029 (or 519014 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 430143024324 its reverse (423420341034), we get a palindrome (853563365358).

The spelling of 430143024324 in words is "four hundred thirty billion, one hundred forty-three million, twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 409 507 676 818 1014 1227 1636 2028 2454 4908 5317 10634 15951 21268 31902 63804 69121 138242 207363 276484 414726 518587 829452 1037174 1555761 2074348 3111522 6223044 6741631 13483262 20224893 26966524 40449786 80899572 87641203 175282406 212102083 262923609 350564812 424204166 525847218 636306249 848408332 1051694436 1272612498 2545224996 2757327079 5514654158 8271981237 11029308316 16543962474 33087924948 35845252027 71690504054 107535756081 143381008108 215071512162 430143024324