Search a number
-
+
139846014000 = 24355371137101
BaseRepresentation
bin1000001000111101111…
…0001101010000110000
3111100222002221120200000
42002033132031100300
54242401034422000
6144124441230000
713050341335350
oct2021736152060
9440862846600
10139846014000
115434347a190
122312a192300
13102589c8a14
146aa8dc6b60
153987456000
hex208f78d430

139846014000 has 1920 divisors, whose sum is σ = 655002077184. Its totient is φ = 27993600000.

The previous prime is 139846013981. The next prime is 139846014019. The reversal of 139846014000 is 410648931.

139846014000 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 4 + 601 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (139846013981) and next prime (139846014019).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1384613950 + ... + 1384614050.

Almost surely, 2139846014000 is an apocalyptic number.

139846014000 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 139846014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327501038592).

139846014000 is an abundant number, since it is smaller than the sum of its proper divisors (515156063184).

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

139846014000 is a wasteful number, since it uses less digits than its factorization.

139846014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 139846014000 in words is "one hundred thirty-nine billion, eight hundred forty-six million, fourteen thousand".