Search a number
-
+
139113057484800 = 22133527101139
BaseRepresentation
bin11111101000010111001000…
…011000000000000000000000
3200020120002010011102102011000
4133220113020120000000000
5121213212020204003200
61211511353434452000
741205405151223250
oct3750271030000000
9606502104372130
10139113057484800
114036457530a003
1213729061594000
135c813c7202479
14264d172155960
1511139b34b9300
hex7e85c8600000

139113057484800 has 2112 divisors, whose sum is σ = 594154896652800. Its totient is φ = 31255953408000.

The previous prime is 139113057484783. The next prime is 139113057484813. The reversal of 139113057484800 is 8484750311931.

139113057484800 is a `hidden beast` number, since 1 + 3 + 9 + 1 + 1 + 30 + 57 + 484 + 80 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1000813363131 + ... + 1000813363269.

Almost surely, 2139113057484800 is an apocalyptic number.

139113057484800 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 139113057484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297077448326400).

139113057484800 is an abundant number, since it is smaller than the sum of its proper divisors (455041839168000).

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

139113057484800 is an frugal number, since it uses more digits than its factorization.

139113057484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 139113057484800 in words is "one hundred thirty-nine trillion, one hundred thirteen billion, fifty-seven million, four hundred eighty-four thousand, eight hundred".