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240231141132042 = 237313713928801813
BaseRepresentation
bin110110100111110100101011…
…110101001100011100001010
31011111120212120021101011122010
4312213310223311030130022
5222441421334112211132
62210532355050240350
7101413061424521634
oct6647645365143412
91144525507334563
10240231141132042
116a5aa5003a0a85
1222b3a4a31260b6
13a407912790458
14434736bdd3a54
151cb8e6b1176cc
hexda7d2bd4c70a

240231141132042 has 64 divisors (see below), whose sum is σ = 494128529274240. Its totient is φ = 77839546696704.

The previous prime is 240231141132019. The next prime is 240231141132067.

It is a happy number.

240231141132042 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2402311411320422 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6060073 + ... + 22741740.

It is an arithmetic number, because the mean of its divisors is an integer number (7720758269910).

Almost surely, 2240231141132042 is an apocalyptic number.

240231141132042 is an abundant number, since it is smaller than the sum of its proper divisors (253897388142198).

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

240231141132042 is a wasteful number, since it uses less digits than its factorization.

240231141132042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28802167.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 240231141132042 in words is "two hundred forty trillion, two hundred thirty-one billion, one hundred forty-one million, one hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 73 137 139 146 219 274 278 411 417 438 822 834 10001 10147 19043 20002 20294 30003 30441 38086 57129 60006 60882 114258 1390139 2780278 4170417 8340834 28801813 57603626 86405439 172810878 2102532349 3945848381 4003452007 4205064698 6307597047 7891696762 8006904014 11837545143 12010356021 12615194094 23675090286 24020712042 288046931813 292251996511 548472924959 576093863626 584503993022 864140795439 876755989533 1096945849918 1645418774877 1728281590878 1753511979066 3290837549754 40038523522007 80077047044014 120115570566021 240231141132042