Search a number
-
+
150041504151 = 32711231634927
BaseRepresentation
bin1000101110111100101…
…0111010100110010111
3112100021122120010212100
42023233022322212113
54424241111113101
6152532250053143
713561111512420
oct2135712724627
9470248503770
10150041504151
11586a5576900
12250b471a1b3
13111c2051826
1473950b6647
153d8257be86
hex22ef2ba997

150041504151 has 72 divisors (see below), whose sum is σ = 281034371072. Its totient is φ = 75429208800.

The previous prime is 150041504131. The next prime is 150041504153. The reversal of 150041504151 is 151405140051.

150041504151 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 4 + 1 + 504 + 151 = 666.

It is not a de Polignac number, because 150041504151 - 214 = 150041487767 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150041504153) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81151 + ... + 553776.

Almost surely, 2150041504151 is an apocalyptic number.

150041504151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

150041504151 is a deficient number, since it is larger than the sum of its proper divisors (130992866921).

150041504151 is a wasteful number, since it uses less digits than its factorization.

150041504151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634993 (or 634979 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 150041504151 in words is "one hundred fifty billion, forty-one million, five hundred four thousand, one hundred fifty-one".

Divisors: 1 3 7 9 11 21 31 33 63 77 93 99 121 217 231 279 341 363 651 693 847 1023 1089 1953 2387 2541 3069 3751 7161 7623 11253 21483 26257 33759 78771 236313 634927 1904781 4444489 5714343 6984197 13333467 19682737 20952591 40000401 48889379 59048211 62857773 76826167 137779159 146668137 177144633 216510107 230478501 413337477 440004411 537783169 649530321 691435503 1240012431 1515570749 1613349507 1948590963 2381611177 4546712247 4840048521 7144833531 13640136741 16671278239 21434500593 50013834717 150041504151