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10000414142019 = 3272269290928979
BaseRepresentation
bin1001000110000110011100…
…1000011110111001000011
31022102000211001111211212200
42101201213020132321003
52302321322010021034
633134043221324243
72051335404446400
oct221414710367103
938360731454780
1010000414142019
113206174089054
121156192566683
1357705bbaba82
142680461352a7
1512520149ba99
hex9186721ee43

10000414142019 has 72 divisors (see below), whose sum is σ = 16872263226000. Its totient is φ = 5691125268864.

The previous prime is 10000414141967. The next prime is 10000414142029. The reversal of 10000414142019 is 91024141400001.

10000414142019 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 41 + 414 + 201 + 9 = 666.

It is not a de Polignac number, because 10000414142019 - 217 = 10000414010947 is a prime.

It is a super-2 number, since 2×100004141420192 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000414141983 and 10000414142001.

It is not an unprimeable number, because it can be changed into a prime (10000414142029) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 345077272 + ... + 345106250.

It is an arithmetic number, because the mean of its divisors is an integer number (234336989250).

Almost surely, 210000414142019 is an apocalyptic number.

10000414142019 is a deficient number, since it is larger than the sum of its proper divisors (6871849083981).

10000414142019 is a wasteful number, since it uses less digits than its factorization.

10000414142019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32177 (or 32167 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10000414142019 in words is "ten trillion, four hundred fourteen million, one hundred forty-two thousand, nineteen".

Divisors: 1 3 7 9 21 49 63 147 269 441 807 1883 2421 2909 5649 8727 13181 16947 20363 26181 28979 39543 61089 86937 118629 142541 183267 202853 260811 427623 608559 782521 1282869 1419971 1825677 2347563 4259913 5477647 7042689 7795351 12779739 16432941 23386053 38343529 49298823 54567457 70158159 84299911 115030587 163702371 252899733 345091761 381972199 491107113 590099377 758699199 1145916597 1770298131 3437749791 4130695639 5310894393 12392086917 22676676059 37176260751 68030028177 158736732413 204090084531 476210197239 1111157126891 1428630591717 3333471380673 10000414142019