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94542282240 = 2935717314771
BaseRepresentation
bin101100000001100101…
…0001011111000000000
3100001000210222112221220
41120003022023320000
53022110311012430
6111233201115040
76554563065630
oct1300312137000
9301023875856
1094542282240
1137105720a5a
12163a6028a80
138bb8bb1353
14480c2926c0
1526d501d110
hex160328be00

94542282240 has 1280 divisors, whose sum is σ = 390996688896. Its totient is φ = 18992332800.

The previous prime is 94542282239. The next prime is 94542282259. The reversal of 94542282240 is 4228224549.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×945422822402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 94542282192 and 94542282201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1331581405 + ... + 1331581475.

Almost surely, 294542282240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94542282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195498344448).

94542282240 is an abundant number, since it is smaller than the sum of its proper divisors (296454406656).

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

94542282240 is a wasteful number, since it uses less digits than its factorization.

94542282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 94542282240 in words is "ninety-four billion, five hundred forty-two million, two hundred eighty-two thousand, two hundred forty".