Search a number
-
+
32114232256 = 2631109148501
BaseRepresentation
bin11101111010001010…
…000100101111000000
310001220002121000210111
4131322022010233000
51011232220413011
622430355241104
72214551320201
oct357212045700
9101802530714
1032114232256
111268a713017
126282ba9194
13304a3c6cc2
1417a915b5a8
15c7e553121
hex77a284bc0

32114232256 has 56 divisors (see below), whose sum is σ = 66386334080. Its totient is φ = 15396480000.

The previous prime is 32114232221. The next prime is 32114232257. The reversal of 32114232256 is 65223241123.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32114232257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142006 + ... + 290506.

Almost surely, 232114232256 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 32114232256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33193167040).

32114232256 is an abundant number, since it is smaller than the sum of its proper divisors (34272101824).

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

32114232256 is a wasteful number, since it uses less digits than its factorization.

32114232256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148653 (or 148643 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

Adding to 32114232256 its reverse (65223241123), we get a palindrome (97337473379).

The spelling of 32114232256 in words is "thirty-two billion, one hundred fourteen million, two hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 109 124 218 248 436 496 872 992 1744 1984 3379 3488 6758 6976 13516 27032 54064 108128 148501 216256 297002 594004 1188008 2376016 4603531 4752032 9207062 9504064 16186609 18414124 32373218 36828248 64746436 73656496 129492872 147312992 258985744 294625984 501784879 517971488 1003569758 1035942976 2007139516 4014279032 8028558064 16057116128 32114232256