Search a number
-
+
156544901120 = 21353124197
BaseRepresentation
bin1001000111001011001…
…1011010000000000000
3112222001212211221100202
42101302303122000000
510031100443313440
6155525444304332
714211220463426
oct2216263320000
9488055757322
10156544901120
1160432574243
122640a6a20a8
13119ba4c190a
147810ac3116
15411349e615
hex2472cda000

156544901120 has 336 divisors, whose sum is σ = 401762406024. Its totient is φ = 58510540800.

The previous prime is 156544901111. The next prime is 156544901167. The reversal of 156544901120 is 21109445651.

It can be written as a sum of positive squares in 4 ways, for example, as 80492498944 + 76052402176 = 283712^2 + 275776^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1613864912 + ... + 1613865008.

Almost surely, 2156544901120 is an apocalyptic number.

156544901120 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 156544901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200881203012).

156544901120 is an abundant number, since it is smaller than the sum of its proper divisors (245217504904).

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

156544901120 is an frugal number, since it uses more digits than its factorization.

156544901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 156544901120 in words is "one hundred fifty-six billion, five hundred forty-four million, nine hundred one thousand, one hundred twenty".