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412131450331540 = 22555766155969201
BaseRepresentation
bin101110110110101001101010…
…0101100101010000110010100
32000001020101022101022221102001
41131231103110230222012110
5413004330202241102130
64020310324033525044
7152544341352223132
oct13555232454520624
92001211271287361
10412131450331540
1110a354a6a516135
123a281a04a13784
13148c6aa1433bb4
1473ab3a9186752
15329a74139a6ca
hex176d4d4b2a194

412131450331540 has 48 divisors (see below), whose sum is σ = 868341572363664. Its totient is φ = 164307661056000.

The previous prime is 412131450331481. The next prime is 412131450331571. The reversal of 412131450331540 is 45133054131214.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 287774310916 + 411843676020624 = 536446^2 + 20293932^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 412131450331540.

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, 20621061 + ... + 35348140.

It is an arithmetic number, because the mean of its divisors is an integer number (18090449424243).

Almost surely, 2412131450331540 is an apocalyptic number.

It is an amenable number.

412131450331540 is an abundant number, since it is smaller than the sum of its proper divisors (456210122032124).

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

412131450331540 is a wasteful number, since it uses less digits than its factorization.

412131450331540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55970428 (or 55970426 counting only the distinct ones).

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

The spelling of 412131450331540 in words is "four hundred twelve trillion, one hundred thirty-one billion, four hundred fifty million, three hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 557 661 1114 1322 2228 2644 2785 3305 5570 6610 11140 13220 368177 736354 1472708 1840885 3681770 7363540 55969201 111938402 223876804 279846005 559692010 1119384020 31174844957 36995641861 62349689914 73991283722 124699379828 147982567444 155874224785 184978209305 311748449570 369956418610 623496899140 739912837220 20606572516577 41213145033154 82426290066308 103032862582885 206065725165770 412131450331540