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427401444104724 = 223127376171745531
BaseRepresentation
bin110000100101110000010011…
…1010000001001101000010100
32002001022011211111121002102210
41201023200213100021220110
5422010021124142322344
64113001302435033420
7156011510134553355
oct14113404720115024
92061264744532383
10427401444104724
11114201a30956651
123bb2931aa3b870
1315463a24a19b7b
1477784a99b3d2c
153462a5bc64db9
hex184b827409a14

427401444104724 has 48 divisors (see below), whose sum is σ = 1005126576398336. Its totient is φ = 141344794130400.

The previous prime is 427401444104669. The next prime is 427401444104743.

427401444104724 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572911839 + ... + 573657369.

Almost surely, 2427401444104724 is an apocalyptic number.

It is an amenable number.

427401444104724 is an abundant number, since it is smaller than the sum of its proper divisors (577725132293612).

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

427401444104724 is a wasteful number, since it uses less digits than its factorization.

427401444104724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121836 (or 1121834 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 48.

The spelling of 427401444104724 in words is "four hundred twenty-seven trillion, four hundred one billion, four hundred forty-four million, one hundred four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 127 254 381 508 762 1524 376171 745531 752342 1128513 1491062 1504684 2236593 2257026 2982124 4473186 4514052 8946372 47773717 94682437 95547434 143321151 189364874 191094868 284047311 286642302 378729748 568094622 573284604 1136189244 280447141801 560894283602 841341425403 1121788567204 1682682850806 3365365701612 35616787008727 71233574017454 106850361026181 142467148034908 213700722052362 427401444104724