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140015796480 = 283457192923
BaseRepresentation
bin1000001001100110010…
…1111000000100000000
3111101101221102102110000
42002121211320010000
54243223020441410
6144153344240000
713054502430120
oct2023145700400
9441357372400
10140015796480
11544202a328a
1223177010000
1310284c33021
146ac3780c80
1539972e1dc0
hex2099978100

140015796480 has 360 divisors, whose sum is σ = 572576824512. Its totient is φ = 32003444736.

The previous prime is 140015796461. The next prime is 140015796497. The reversal of 140015796480 is 84697510041.

140015796480 is a `hidden beast` number, since 1 + 400 + 157 + 96 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 629299 + ... + 822221.

Almost surely, 2140015796480 is an apocalyptic number.

140015796480 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 140015796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286288412256).

140015796480 is an abundant number, since it is smaller than the sum of its proper divisors (432561028032).

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

140015796480 is an equidigital number, since it uses as much as digits as its factorization.

140015796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192963 (or 192940 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 140015796480 in words is "one hundred forty billion, fifteen million, seven hundred ninety-six thousand, four hundred eighty".