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15140225431552 = 211135371151121
BaseRepresentation
bin1101110001010001101111…
…0000100011100000000000
31222121101120100020100221111
43130110123300203200000
53441024140202302202
652111153515133104
73121562620533544
oct334243360434000
958541510210844
1015140225431552
114907a2a607791
12184633aa44194
1385a942701510
143a4b10025a24
151b3c730656d7
hexdc51bc23800

15140225431552 has 192 divisors, whose sum is σ = 33684948722880. Its totient is φ = 6759343718400.

The previous prime is 15140225431549. The next prime is 15140225431559. The reversal of 15140225431552 is 25513452204151.

It is a super-3 number, since 3×151402254315523 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15140225431559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100110552 + ... + 100261672.

It is an arithmetic number, because the mean of its divisors is an integer number (175442441265).

Almost surely, 215140225431552 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 15140225431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16842474361440).

15140225431552 is an abundant number, since it is smaller than the sum of its proper divisors (18544723291328).

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

15140225431552 is a wasteful number, since it uses less digits than its factorization.

15140225431552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151280 (or 151260 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 15140225431552 in words is "fifteen trillion, one hundred forty billion, two hundred twenty-five million, four hundred thirty-one thousand, five hundred fifty-two".