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151040113532 = 227118312234831
BaseRepresentation
bin1000110010101010110…
…0010011101101111100
3112102212020121202101222
42030222230103231330
54433312232113112
6153215321452512
713624625532140
oct2145254235574
9472766552358
10151040113532
115906822a910
1225333041138
1311320bc2a59
14744b981220
153de0086372
hex232ab13b7c

151040113532 has 96 divisors (see below), whose sum is σ = 333854244864. Its totient is φ = 58078238400.

The previous prime is 151040113531. The next prime is 151040113561. The reversal of 151040113532 is 235311040151.

It is a super-3 number, since 3×1510401135323 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151040113531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31262357 + ... + 31267187.

It is an arithmetic number, because the mean of its divisors is an integer number (3477648384).

Almost surely, 2151040113532 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 151040113532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166927122432).

151040113532 is an abundant number, since it is smaller than the sum of its proper divisors (182814131332).

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

151040113532 is a wasteful number, since it uses less digits than its factorization.

151040113532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6159 (or 6157 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 151040113532 its reverse (235311040151), we get a palindrome (386351153683).

The spelling of 151040113532 in words is "one hundred fifty-one billion, forty million, one hundred thirteen thousand, five hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 83 154 166 308 332 581 913 1162 1223 1826 2324 2446 3652 4831 4892 6391 8561 9662 12782 13453 17122 19324 25564 26906 33817 34244 53141 53812 67634 94171 101509 106282 135268 188342 203018 212564 371987 376684 400973 406036 710563 743974 801946 1116599 1421126 1487948 1603892 2233198 2806811 2842252 4410703 4466396 5613622 5908313 7816193 8821406 11227244 11816626 15632386 17642812 23633252 30874921 31264772 41358191 61749842 64991443 82716382 123499684 129982886 165432764 259965772 454940101 490389979 909880202 980779958 1819760404 1961559916 3432729853 5394289769 6865459706 10788579538 13730919412 21577159076 37760028383 75520056766 151040113532