Search a number
-
+
139380436224 = 2832316131991
BaseRepresentation
bin1000000111001110111…
…0001010110100000000
3111022202122212210000200
42001303232022310000
54240422342424344
6144010330245200
713032656105631
oct2016356126400
9438678783020
10139380436224
1154124693767
122301a286800
13101b3406703
146a63231888
15395b63c069
hex2073b8ad00

139380436224 has 216 divisors, whose sum is σ = 421645346304. Its totient is φ = 44222976000.

The previous prime is 139380436211. The next prime is 139380436249. The reversal of 139380436224 is 422634083931.

139380436224 is a `hidden beast` number, since 1 + 3 + 9 + 380 + 43 + 6 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 139380436224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4340869 + ... + 4372859.

Almost surely, 2139380436224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139380436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210822673152).

139380436224 is an abundant number, since it is smaller than the sum of its proper divisors (282264910080).

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

139380436224 is a wasteful number, since it uses less digits than its factorization.

139380436224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32105 (or 32088 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 139380436224 in words is "one hundred thirty-nine billion, three hundred eighty million, four hundred thirty-six thousand, two hundred twenty-four".