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400365142452 = 2232111030398129
BaseRepresentation
bin1011101001101111001…
…11110100000110110100
31102021102010122112021100
411310313213310012310
523024421434024302
6503531502250100
740632264363162
oct5646747640664
91367363575240
10400365142452
1114488075a320
1265715586930
132b9a6196972
1415540892232
15a6339c3d1c
hex5d379f41b4

400365142452 has 72 divisors (see below), whose sum is σ = 1104155619840. Its totient is φ = 121309758720.

The previous prime is 400365142433. The next prime is 400365142547. The reversal of 400365142452 is 254241563004.

400365142452 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 65 + 142 + 452 = 666.

It is a super-2 number, since 2×4003651424522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4030924 + ... + 4129052.

It is an arithmetic number, because the mean of its divisors is an integer number (15335494720).

Almost surely, 2400365142452 is an apocalyptic number.

It is an amenable number.

400365142452 is an abundant number, since it is smaller than the sum of its proper divisors (703790477388).

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

400365142452 is a wasteful number, since it uses less digits than its factorization.

400365142452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108453 (or 108448 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 400365142452 in words is "four hundred billion, three hundred sixty-five million, one hundred forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 10303 20606 30909 41212 61818 92727 98129 113333 123636 185454 196258 226666 294387 339999 370908 392516 453332 588774 679998 883161 1019997 1079419 1177548 1359996 1766322 2039994 2158838 3238257 3532644 4079988 4317676 6476514 9714771 12953028 19429542 38859084 1011023087 2022046174 3033069261 4044092348 6066138522 9099207783 11121253957 12132277044 18198415566 22242507914 33363761871 36396831132 44485015828 66727523742 100091285613 133455047484 200182571226 400365142452