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40601056414752 = 253364123732841
BaseRepresentation
bin10010011101101001010111…
…00010111000110000100000
312022202102102102121111102000
421032310223202320300200
520310201430420233002
6222203511241124000
711360221012215111
oct1116645342706040
9168672372544360
1040601056414752
1111a338a1973709
12467890b789600
131986881055252
14a0515cb94208
154a61d76b161c
hex24ed2b8b8c20

40601056414752 has 96 divisors (see below), whose sum is σ = 118421756228160. Its totient is φ = 13533455946240.

The previous prime is 40601056414727. The next prime is 40601056414799. The reversal of 40601056414752 is 25741465010604.

40601056414752 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 1 + 0 + 564 + 14 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 40601056414698 and 40601056414707.

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, 55035852 + ... + 55768692.

It is an arithmetic number, because the mean of its divisors is an integer number (1233559960710).

Almost surely, 240601056414752 is an apocalyptic number.

It is an amenable number.

40601056414752 is an abundant number, since it is smaller than the sum of its proper divisors (77820699813408).

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

40601056414752 is a wasteful number, since it uses less digits than its factorization.

40601056414752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796983 (or 796969 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 40601056414752 in words is "forty trillion, six hundred one billion, fifty-six million, four hundred fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 64123 128246 192369 256492 384738 512984 577107 732841 769476 1025968 1154214 1465682 1538952 1731321 2051936 2198523 2308428 2931364 3077904 3462642 4397046 4616856 5862728 6155808 6595569 6925284 8794092 9233712 11725456 13191138 13850568 17588184 18467424 19786707 23450912 26382276 27701136 35176368 39573414 52764552 55402272 70352736 79146828 105529104 158293656 211058208 316587312 633174624 46991963443 93983926886 140975890329 187967853772 281951780658 375935707544 422927670987 563903561316 751871415088 845855341974 1127807122632 1268783012961 1503742830176 1691710683948 2255614245264 2537566025922 3383421367896 4511228490528 5075132051844 6766842735792 10150264103688 13533685471584 20300528207376 40601056414752