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140985658080 = 25345103310531
BaseRepresentation
bin1000001101001101100…
…1100110101011100000
3111110220112101111110000
42003103121212223200
54302214312024310
6144433511540000
713120520215011
oct2032331465340
9443815344400
10140985658080
11548788016a3
12233a798a600
13103aab4a227
146b764c5008
153a0251d4c0
hex20d3666ae0

140985658080 has 240 divisors, whose sum is σ = 498090844944. Its totient is φ = 37556213760.

The previous prime is 140985658069. The next prime is 140985658123. The reversal of 140985658080 is 80856589041.

It is a happy number.

140985658080 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 8 + 56 + 580 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13382415 + ... + 13392945.

Almost surely, 2140985658080 is an apocalyptic number.

140985658080 is a gapful number since it is divisible by the number (10) 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 140985658080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249045422472).

140985658080 is an abundant number, since it is smaller than the sum of its proper divisors (357105186864).

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

140985658080 is a wasteful number, since it uses less digits than its factorization.

140985658080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11591 (or 11574 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 140985658080 in words is "one hundred forty billion, nine hundred eighty-five million, six hundred fifty-eight thousand, eighty".