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142531050463164 = 223311786231525961
BaseRepresentation
bin100000011010000110011000…
…101000011101111110111100
3200200122211112222020001202000
4200122012120220131332330
5122140212042404310124
61223045505522302300
742010346205200256
oct4032063050357674
9620584488201660
10142531050463164
1141462096234030
1213b9b5804b7990
13616b80acb2c5c
14272a77ab30cd6
15117285e0746c9
hex81a198a1dfbc

142531050463164 has 96 divisors (see below), whose sum is σ = 403123513927680. Its totient is φ = 43190649763200.

The previous prime is 142531050463097. The next prime is 142531050463199. The reversal of 142531050463164 is 461364050135241.

142531050463164 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 3 + 1 + 0 + 5 + 0 + 4 + 631 + 6 + 4 = 666.

It is a super-2 number, since 2×1425310504631642 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92641144 + ... + 94167104.

It is an arithmetic number, because the mean of its divisors is an integer number (4199203270080).

Almost surely, 2142531050463164 is an apocalyptic number.

It is an amenable number.

142531050463164 is an abundant number, since it is smaller than the sum of its proper divisors (260592463464516).

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

142531050463164 is a wasteful number, since it uses less digits than its factorization.

142531050463164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604608 (or 1604600 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 142531050463164 in words is "one hundred forty-two trillion, five hundred thirty-one billion, fifty million, four hundred sixty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 78623 157246 235869 314492 471738 707607 864853 943476 1415214 1525961 1729706 2122821 2594559 2830428 3051922 3459412 4245642 4577883 5189118 6103844 7783677 8491284 9155766 10378236 13733649 15567354 16785571 18311532 23351031 27467298 31134708 33571142 41200947 46702062 50356713 54934596 67142284 82401894 93404124 100713426 151070139 164803788 201426852 302140278 453210417 604280556 906420834 1812841668 119975631703 239951263406 359926895109 479902526812 719853790218 1079780685327 1319731948733 1439707580436 2159561370654 2639463897466 3239342055981 3959195846199 4319122741308 5278927794932 6478684111962 7918391692398 11877587538597 12957368223924 15836783384796 23755175077194 35632762615791 47510350154388 71265525231582 142531050463164