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40630601410641 = 33112843393112241
BaseRepresentation
bin10010011110100000011001…
…00100000110100001010001
312022212020200110201210111000
421033100030210012201101
520311142432430120031
6222225235101012213
711362315115433264
oct1117201444064121
9168766613653430
1040630601410641
1111a45383293390
124682596254069
1319895ac08aa38
14a067629dacdb
154a6d663ae3e6
hex24f40c906851

40630601410641 has 64 divisors (see below), whose sum is σ = 65710793825280. Its totient is φ = 24607672992000.

The previous prime is 40630601410603. The next prime is 40630601410657. The reversal of 40630601410641 is 14601410603604.

40630601410641 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 0 + 6 + 0 + 1 + 4 + 1 + 0 + 641 = 666.

It is not a de Polignac number, because 40630601410641 - 222 = 40630597216337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40630601410596 and 40630601410605.

It is not an unprimeable number, because it can be changed into a prime (40630601410601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3319216281 + ... + 3319228521.

It is an arithmetic number, because the mean of its divisors is an integer number (1026731153520).

Almost surely, 240630601410641 is an apocalyptic number.

It is an amenable number.

40630601410641 is a deficient number, since it is larger than the sum of its proper divisors (25080192414639).

40630601410641 is a wasteful number, since it uses less digits than its factorization.

40630601410641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19035 (or 19029 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 40630601410641 in words is "forty trillion, six hundred thirty billion, six hundred one million, four hundred ten thousand, six hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 2843 3931 8529 11793 12241 25587 31273 35379 36723 43241 76761 93819 106137 110169 129723 134651 281457 330507 389169 403953 844371 1167507 1211859 3635577 11175833 33527499 34801163 48119371 100582497 104403489 122934163 144358113 301747491 313210467 368802489 382812793 433074339 529313081 939631401 1106407467 1148438379 1299223017 1587939243 3319222401 3445315137 4763817729 10335945411 14291453187 136803371753 410410115259 1231230345777 1504837089283 3693691037331 4514511267849 13543533803547 40630601410641