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412131450331504 = 241929131356855899
BaseRepresentation
bin101110110110101001101010…
…0101100101010000101110000
32000001020101022101022221100201
41131231103110230222011300
5413004330202241102004
64020310324033524544
7152544341352223051
oct13555232454520560
92001211271287321
10412131450331504
1110a354a6a516102
123a281a04a13754
13148c6aa1433b87
1473ab3a9186728
15329a74139a6a4
hex176d4d4b2a170

412131450331504 has 80 divisors (see below), whose sum is σ = 876152605680000. Its totient is φ = 187049587495680.

The previous prime is 412131450331481. The next prime is 412131450331571. The reversal of 412131450331504 is 405133054131214.

It is a happy number.

It is a super-2 number, since 2×4121314503315042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177273054 + ... + 179582845.

It is an arithmetic number, because the mean of its divisors is an integer number (10951907571000).

Almost surely, 2412131450331504 is an apocalyptic number.

It is an amenable number.

412131450331504 is an abundant number, since it is smaller than the sum of its proper divisors (464021155348496).

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

412131450331504 is a wasteful number, since it uses less digits than its factorization.

412131450331504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356856086 (or 356856080 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 412131450331504 in words is "four hundred twelve trillion, one hundred thirty-one billion, four hundred fifty million, three hundred thirty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 131 152 232 262 304 464 524 551 1048 1102 2096 2204 2489 3799 4408 4978 7598 8816 9956 15196 19912 30392 39824 60784 72181 144362 288724 577448 1154896 356855899 713711798 1427423596 2854847192 5709694384 6780262081 10348821071 13560524162 20697642142 27121048324 41395284284 46748122769 54242096648 82790568568 93496245538 108484193296 165581137136 186992491076 196627600349 373984982152 393255200698 747969964304 786510401396 888214332611 1355695560301 1573020802792 1776428665222 2711391120602 3146041605584 3552857330444 5422782241204 7105714660888 10845564482408 14211429321776 21691128964816 25758215645719 51516431291438 103032862582876 206065725165752 412131450331504