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140076291960 = 2332511175935267
BaseRepresentation
bin1000001001110100110…
…0101001011101111000
3111101120011020220122100
42002131030221131320
54243334012320320
6144203345023400
713056135556563
oct2023514513570
9441504226570
10140076291960
1154451462450
1223193324b60
1310294624677
146acb80b4da
15399c791790
hex209d329778

140076291960 has 384 divisors, whose sum is σ = 534775737600. Its totient is φ = 31417774080.

The previous prime is 140076291959. The next prime is 140076291967. The reversal of 140076291960 is 69192670041.

140076291960 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 7 + 629 + 19 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140076291967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3954247 + ... + 3989513.

It is an arithmetic number, because the mean of its divisors is an integer number (1392645150).

Almost surely, 2140076291960 is an apocalyptic number.

140076291960 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 140076291960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267387868800).

140076291960 is an abundant number, since it is smaller than the sum of its proper divisors (394699445640).

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

140076291960 is a wasteful number, since it uses less digits than its factorization.

140076291960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35371 (or 35364 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 140076291960 in words is "one hundred forty billion, seventy-six million, two hundred ninety-one thousand, nine hundred sixty".