Search a number
-
+
150256942137 = 3413715189671
BaseRepresentation
bin1000101111110000000…
…0101111110000111001
3112100211122221112020000
42023330000233300321
54430211234122022
6153005503423213
713566335635461
oct2137400576071
9470748845200
10150256942137
11587a6143625
12251548b4b09
1311227882923
1473b5956ba1
153d964356ac
hex22fc02fc39

150256942137 has 40 divisors (see below), whose sum is σ = 227596144512. Its totient is φ = 98780472000.

The previous prime is 150256942103. The next prime is 150256942211. The reversal of 150256942137 is 731249652051.

150256942137 is a `hidden beast` number, since 1 + 50 + 2 + 569 + 4 + 2 + 1 + 37 = 666.

150256942137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 150256942137 - 27 = 150256942009 is a prime.

It is a super-2 number, since 2×1502569421372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150256942092 and 150256942101.

It is not an unprimeable number, because it can be changed into a prime (150256942037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1630812 + ... + 1720482.

Almost surely, 2150256942137 is an apocalyptic number.

It is an amenable number.

150256942137 is a deficient number, since it is larger than the sum of its proper divisors (77339202375).

150256942137 is a wasteful number, since it uses less digits than its factorization.

150256942137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89971 (or 89962 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 150256942137 in words is "one hundred fifty billion, two hundred fifty-six million, nine hundred forty-two thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 81 137 151 411 453 1233 1359 3699 4077 11097 12231 20687 62061 89671 186183 269013 558549 807039 1675647 2421117 7263351 12284927 13540321 36854781 40620963 110564343 121862889 331693029 365588667 995079087 1096766001 1855023977 5565071931 16695215793 50085647379 150256942137