Search a number
-
+
139786053120 = 2932573173383
BaseRepresentation
bin1000001000101111100…
…1011110011000000000
3111100210221010020210200
42002023321132120000
54242240212144440
6144114500125200
713046012563320
oct2021371363000
9440727106720
10139786053120
115431264573a
1223112096800
13102494637cc
146aa1059280
15398205ec30
hex208be5e600

139786053120 has 960 divisors, whose sum is σ = 580461133824. Its totient is φ = 30417223680.

The previous prime is 139786053061. The next prime is 139786053137. The reversal of 139786053120 is 21350687931.

139786053120 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 8 + 605 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 364976449 + ... + 364976831.

Almost surely, 2139786053120 is an apocalyptic number.

139786053120 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 139786053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290230566912).

139786053120 is an abundant number, since it is smaller than the sum of its proper divisors (440675080704).

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

139786053120 is a wasteful number, since it uses less digits than its factorization.

139786053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 139786053120 in words is "one hundred thirty-nine billion, seven hundred eighty-six million, fifty-three thousand, one hundred twenty".