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42411640005 = 3257296417243
BaseRepresentation
bin100111011111111011…
…100100010011000101
311001110201222112122200
4213133323210103011
51143324334440010
631252244345113
73030666664140
oct473773442305
9131421875580
1042411640005
1116a942a0959
1282776a5199
133ccb8b5397
1420a49bb057
1511835abcc0
hex9dfee44c5

42411640005 has 96 divisors (see below), whose sum is σ = 87060130560. Its totient is φ = 18687836160.

The previous prime is 42411639983. The next prime is 42411640013. The reversal of 42411640005 is 50004611424.

42411640005 is a `hidden beast` number, since 4 + 2 + 4 + 11 + 640 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 42411640005 - 25 = 42411639973 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5851914 + ... + 5859156.

It is an arithmetic number, because the mean of its divisors is an integer number (906876360).

Almost surely, 242411640005 is an apocalyptic number.

42411640005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42411640005 is an abundant number, since it is smaller than the sum of its proper divisors (44648490555).

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

42411640005 is a wasteful number, since it uses less digits than its factorization.

42411640005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7931 (or 7928 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 42411640005 in words is "forty-two billion, four hundred eleven million, six hundred forty thousand, five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 641 1015 1305 1827 1923 3045 3205 4487 5769 7243 9135 9615 13461 18589 21729 22435 28845 36215 40383 50701 55767 65187 67305 92945 108645 130123 152103 167301 201915 210047 253505 278835 325935 390369 456309 630141 650615 760515 836505 1050235 1171107 1470329 1890423 1951845 2281545 3150705 4410987 4642763 5855535 7351645 9452115 13232961 13928289 22054935 23213815 32499341 41784867 66164805 69641445 97498023 134640127 162496705 208924335 292494069 403920381 487490115 673200635 942480889 1211761143 1462470345 2019601905 2827442667 4712404445 6058805715 8482328001 14137213335 42411640005