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40640442642 = 23246313613583
BaseRepresentation
bin100101110110010110…
…111111000100010010
310212220022011101122100
4211312112333010102
51131212423131032
630400413421230
72636052030342
oct456626770422
9125808141570
1040640442642
111626551a088
127a6249a816
133aa896b2c7
141d77680d22
1510ccd4297c
hex9765bf112

40640442642 has 48 divisors (see below), whose sum is σ = 88333959168. Its totient is φ = 13503853440.

The previous prime is 40640442637. The next prime is 40640442659. The reversal of 40640442642 is 24624404604.

40640442642 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 0 + 4 + 4 + 2 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40640442597 and 40640442606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11340783 + ... + 11344365.

It is an arithmetic number, because the mean of its divisors is an integer number (1840290816).

Almost surely, 240640442642 is an apocalyptic number.

40640442642 is an abundant number, since it is smaller than the sum of its proper divisors (47693516526).

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

40640442642 is a wasteful number, since it uses less digits than its factorization.

40640442642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5415 (or 5412 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 40640442642 in words is "forty billion, six hundred forty million, four hundred forty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 463 926 1361 1389 2722 2778 3583 4083 4167 7166 8166 8334 10749 12249 21498 24498 32247 64494 630143 1260286 1658929 1890429 3317858 3780858 4876463 4976787 5671287 9752926 9953574 11342574 14629389 14930361 29258778 29860722 43888167 87776334 2257802369 4515604738 6773407107 13546814214 20320221321 40640442642