Search a number
-
+
139471376040 = 233205
BaseRepresentation
bin1000000111100100100…
…1000100111010101000
3111100000000000000000000
42001321021010322220
54241114133013130
6144023335343000
713035142064403
oct2017111047250
9440000000000
10139471376040
1154170a57137
1223044821a60
13101c91c7359
146a71344d3a
153964602260
hex2079244ea8

139471376040 has 168 divisors, whose sum is σ = 470715894090. Its totient is φ = 37192366944.

The previous prime is 139471376021. The next prime is 139471376069. The reversal of 139471376040 is 40673174931.

139471376040 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 7 + 1 + 37 + 604 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125524238436 + 13947137604 = 354294^2 + 118098^2 .

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

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 27894275206 + ... + 27894275210.

Almost surely, 2139471376040 is an apocalyptic number.

139471376040 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 139471376040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235357947045).

139471376040 is an abundant number, since it is smaller than the sum of its proper divisors (331244518050).

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

139471376040 is an frugal number, since it uses more digits than its factorization.

139471376040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

139471376040 divided by its sum of digits (45) gives a cube (3099363912 = 14583).

The spelling of 139471376040 in words is "one hundred thirty-nine billion, four hundred seventy-one million, three hundred seventy-six thousand, forty".