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94362029136144 = 243272112105132
BaseRepresentation
bin10101011101001001011111…
…001110100001100100010000
3110101002220220001110121101100
4111131021133032201210100
544332011413424324034
6532405152344304400
725606301022413100
oct2535113716414420
9411086801417340
1094362029136144
1128080791486100
12a6bbbb0772100
1340863bb87b003
14194320a2d9200
15ad988d964099
hex55d25f3a1910

94362029136144 has 405 divisors, whose sum is σ = 337696207881669. Its totient is φ = 24507286594560.

The previous prime is 94362029136139. The next prime is 94362029136181. The reversal of 94362029136144 is 44163192026349.

It is a happy number.

The square root of 94362029136144 is 9714012.

It is a perfect power (a square), and thus also a powerful number.

94362029136144 is a `hidden beast` number, since 9 + 4 + 3 + 6 + 2 + 0 + 2 + 9 + 13 + 614 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17950640400 + 94344078495744 = 133980^2 + 9713088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8975741832 + ... + 8975752344.

Almost surely, 294362029136144 is an apocalyptic number.

94362029136144 is the 9714012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94362029136144

94362029136144 is an abundant number, since it is smaller than the sum of its proper divisors (243334178745525).

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

94362029136144 is a wasteful number, since it uses less digits than its factorization.

94362029136144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21076 (or 10536 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 94362029136144 in words is "ninety-four trillion, three hundred sixty-two billion, twenty-nine million, one hundred thirty-six thousand, one hundred forty-four".