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140910916608 = 210327211191493
BaseRepresentation
bin1000001100111011110…
…0011111010000000000
3111110201022202020102100
42003032330133100000
54302041143312413
6144422241550400
713115622012600
oct2031674372000
9443638666370
10140910916608
115483a5a2290
1223386945400
131039850b4c7
146b6a5cac00
1539eaba7a73
hex20cef1f400

140910916608 has 792 divisors, whose sum is σ = 543873489120. Its totient is φ = 34650685440.

The previous prime is 140910916577. The next prime is 140910916681. The reversal of 140910916608 is 806619019041.

140910916608 is a `hidden beast` number, since 14 + 0 + 9 + 10 + 9 + 16 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94380310 + ... + 94381802.

Almost surely, 2140910916608 is an apocalyptic number.

140910916608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140910916608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271936744560).

140910916608 is an abundant number, since it is smaller than the sum of its proper divisors (402962572512).

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

140910916608 is a wasteful number, since it uses less digits than its factorization.

140910916608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 140910916608 in words is "one hundred forty billion, nine hundred ten million, nine hundred sixteen thousand, six hundred eight".