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10047045142431 = 3411312113172147
BaseRepresentation
bin1001001000110100001010…
…0011101000011110011111
31022120111011211222002220000
42102031002203220132133
52304102322024024211
633211314313425343
72054606100431043
oct222150243503637
938514154862800
1010047045142431
113223a23069920
12116322710b253
1357b58098b0cb
1426a3cb248023
151265301ae656
hex923428e879f

10047045142431 has 80 divisors (see below), whose sum is σ = 16909219396608. Its totient is φ = 5889872102400.

The previous prime is 10047045142399. The next prime is 10047045142441. The reversal of 10047045142431 is 13424154074001.

10047045142431 is a `hidden beast` number, since 1 + 0 + 0 + 47 + 0 + 45 + 142 + 431 = 666.

It is not a de Polignac number, because 10047045142431 - 25 = 10047045142399 is a prime.

It is a super-2 number, since 2×100470451424312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10047045142441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58277100 + ... + 58449246.

Almost surely, 210047045142431 is an apocalyptic number.

10047045142431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10047045142431 is a deficient number, since it is larger than the sum of its proper divisors (6862174254177).

10047045142431 is a wasteful number, since it uses less digits than its factorization.

10047045142431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174314 (or 174305 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10047045142431 in words is "ten trillion, forty-seven billion, forty-five million, one hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 11 27 31 33 81 93 99 279 297 341 837 891 1023 2113 2511 3069 6339 9207 19017 23243 27621 57051 65503 69729 171153 172147 196509 209187 516441 589527 627561 720533 1549323 1768581 1882683 1893617 2161599 4647969 5305743 5336557 5680851 6484797 13943907 16009671 17042553 19454391 48029013 51127659 58363173 58702127 144087039 153382977 176106381 363746611 432261117 528319143 1091239833 1584957429 3273719499 4001212721 4754872287 9821158497 11276144941 12003638163 29463475491 33828434823 36010914489 101485304469 108032743467 124037594351 304455913407 324098230401 372112783053 913367740221 1116338349159 3349015047477 10047045142431