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312001141242294 = 23272778939348497
BaseRepresentation
bin100011011110000110110110…
…1001100010111100110110110
31111220201000110222110210202200
41012330031231030113212312
5311343311314124223134
63023323202351045330
7122501224064056440
oct10674155514274666
91456630428423680
10312001141242294
119045aa39418579
122ababab2b10846
13105127733854aa
145708d15c0b490
152610ceba60499
hex11bc36d3179b6

312001141242294 has 48 divisors (see below), whose sum is σ = 775363331322528. Its totient is φ = 88821366656256.

The previous prime is 312001141242293. The next prime is 312001141242379. The reversal of 312001141242294 is 492242141100213.

312001141242294 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 0 + 1 + 141 + 2 + 422 + 94 = 666.

It is a super-2 number, since 2×3120011412422942 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312001141242293) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4469639347 + ... + 4469709150.

It is an arithmetic number, because the mean of its divisors is an integer number (16153402735886).

Almost surely, 2312001141242294 is an apocalyptic number.

312001141242294 is an abundant number, since it is smaller than the sum of its proper divisors (463362190080234).

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

312001141242294 is a wasteful number, since it uses less digits than its factorization.

312001141242294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8939348789 (or 8939348786 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 312001141242294 in words is "three hundred twelve trillion, one billion, one hundred forty-one million, two hundred forty-two thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 277 554 831 1662 1939 2493 3878 4986 5817 11634 17451 34902 8939348497 17878696994 26818045491 53636090982 62575439479 80454136473 125150878958 160908272946 187726318437 375452636874 563178955311 1126357910622 2476199533669 4952399067338 7428598601007 14857197202014 17333396735683 22285795803021 34666793471366 44571591606042 52000190207049 104000380414098 156000570621147 312001141242294