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430142404104 = 23337612146477
BaseRepresentation
bin1100100001001100111…
…11000011011000001000
31112010021100211011002000
412100212133003120020
524021412423412404
6525334340311000
743035221052120
oct6204637033010
91463240734060
10430142404104
1115647119a776
126b4459a2460
1331740372b0a
1416b674b9c80
15b2c7ca1339
hex64267c3608

430142404104 has 128 divisors (see below), whose sum is σ = 1365783916800. Its totient is φ = 122875107840.

The previous prime is 430142404099. The next prime is 430142404127. The reversal of 430142404104 is 401404241034.

430142404104 is a `hidden beast` number, since 4 + 3 + 0 + 1 + 4 + 240 + 410 + 4 = 666.

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

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, 9231714 + ... + 9278190.

It is an arithmetic number, because the mean of its divisors is an integer number (10670186850).

Almost surely, 2430142404104 is an apocalyptic number.

It is an amenable number.

430142404104 is an abundant number, since it is smaller than the sum of its proper divisors (935641512696).

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

430142404104 is a wasteful number, since it uses less digits than its factorization.

430142404104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52620 (or 52610 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 430142404104 its reverse (401404241034), we get a palindrome (831546645138).

The spelling of 430142404104 in words is "four hundred thirty billion, one hundred forty-two million, four hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 6121 12242 18363 24484 36726 42847 46477 48968 55089 73452 85694 92954 110178 128541 139431 146904 165267 171388 185908 220356 257082 278862 325339 330534 342776 371816 385623 418293 440712 514164 557724 650678 661068 771246 836586 976017 1028328 1115448 1156869 1254879 1301356 1322136 1542492 1673172 1952034 2313738 2509758 2602712 2928051 3084984 3346344 3904068 4627476 5019516 5856102 7808136 8784153 9254952 10039032 11712204 17568306 23424408 35136612 70273224 284485717 568971434 853457151 1137942868 1706914302 1991400019 2275885736 2560371453 3413828604 3982800038 5120742906 5974200057 6827657208 7681114359 7965600076 10241485812 11948400114 15362228718 15931200152 17922600171 20482971624 23896800228 30724457436 35845200342 47793600456 53767800513 61448914872 71690400684 107535601026 143380801368 215071202052 430142404104