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42440401624365 = 3251913493005769
BaseRepresentation
bin10011010011001011011010…
…00100000001110100101101
312120021021002120010101211100
421221211231010001310231
521030320420303434430
6230132503520313313
711640134500432113
oct1151455504016455
9176237076111740
1042440401624365
1112582967330658
124915298772839
131a8b1607ac474
14a6a1aaba3ab3
154d8e8b4ae960
hex26996d101d2d

42440401624365 has 24 divisors (see below), whose sum is σ = 73601817414840. Its totient is φ = 22623048681984.

The previous prime is 42440401624339. The next prime is 42440401624373. The reversal of 42440401624365 is 56342610404424.

42440401624365 is a `hidden beast` number, since 4 + 2 + 440 + 4 + 0 + 162 + 43 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1424139117129 + 41016262507236 = 1193373^2 + 6404394^2 .

It is not a de Polignac number, because 42440401624365 - 219 = 42440401100077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42440401624365.

It is a congruent number.

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, 246416800 + ... + 246588969.

It is an arithmetic number, because the mean of its divisors is an integer number (3066742392285).

Almost surely, 242440401624365 is an apocalyptic number.

42440401624365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42440401624365 is a deficient number, since it is larger than the sum of its proper divisors (31161415790475).

42440401624365 is a wasteful number, since it uses less digits than its factorization.

42440401624365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493007693 (or 493007690 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 42440401624365 in words is "forty-two trillion, four hundred forty billion, four hundred one million, six hundred twenty-four thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 1913 5739 9565 17217 28695 86085 493005769 1479017307 2465028845 4437051921 7395086535 22185259605 943120036097 2829360108291 4715600180485 8488080324873 14146800541455 42440401624365