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46334144143364 = 2273117143241027
BaseRepresentation
bin10101000100100000000100…
…01100111110000000000100
320002001111112011121210022012
422202100002030332000010
522033114311400041424
6242313340103553352
712521350166651000
oct1242200214760004
9202044464553265
1046334144143364
1113844222493020
125243a4b15b858
131cb13a256ab8c
14b62827dab700
155553cdbd6b0e
hex2a240233e004

46334144143364 has 96 divisors (see below), whose sum is σ = 104608694937600. Its totient is φ = 17798006301600.

The previous prime is 46334144143363. The next prime is 46334144143403.

46334144143364 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×463341441433642 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46334144143363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20548982 + ... + 22692045.

It is an arithmetic number, because the mean of its divisors is an integer number (1089673905600).

Almost surely, 246334144143364 is an apocalyptic number.

46334144143364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46334144143364 is an abundant number, since it is smaller than the sum of its proper divisors (58274550794236).

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

46334144143364 is a wasteful number, since it uses less digits than its factorization.

46334144143364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43241134 (or 43241118 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 50.

It can be divided in two parts, 4633414 and 4143364, that added together give a palindrome (8776778).

The spelling of 46334144143364 in words is "forty-six trillion, three hundred thirty-four billion, one hundred forty-four million, one hundred forty-three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 71 77 98 142 154 196 284 308 343 497 539 686 781 994 1078 1372 1562 1988 2156 3124 3479 3773 5467 6958 7546 10934 13916 15092 21868 24353 38269 48706 76538 97412 153076 267883 535766 1071532 43241027 86482054 172964108 302687189 475651297 605374378 951302594 1210748756 1902605188 2118810323 3070112917 3329559079 4237620646 6140225834 6659118158 8475241292 12280451668 13318236316 14831672261 21490790419 23306913553 29663344522 33771242087 42981580838 46613827106 59326689044 67542484174 85963161676 93227654212 135084968348 150435532933 163148394871 236398694609 300871065866 326296789742 472797389218 601742131732 652593579484 945594778436 1053048730531 1654790862263 2106097461062 3309581724526 4212194922124 6619163449052 11583536035841 23167072071682 46334144143364