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159027381240 = 23357313439677
BaseRepresentation
bin1001010000011011000…
…1010100001111111000
3120012110220001222212220
42110012301110033320
510101142002144430
6201020044404040
714326563303000
oct2240661241770
9505426058786
10159027381240
11614968a1302
12269a1b46620
1311cc48c8770
1479a8693000
15420b3b9110
hex2506c543f8

159027381240 has 512 divisors, whose sum is σ = 601413120000. Its totient is φ = 33427150848.

The previous prime is 159027381239. The next prime is 159027381269. The reversal of 159027381240 is 42183720951.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 159027381192 and 159027381201.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 234899782 + ... + 234900458.

It is an arithmetic number, because the mean of its divisors is an integer number (1174635000).

Almost surely, 2159027381240 is an apocalyptic number.

159027381240 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 159027381240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300706560000).

159027381240 is an abundant number, since it is smaller than the sum of its proper divisors (442385738760).

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

159027381240 is a wasteful number, since it uses less digits than its factorization.

159027381240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 159027381240 in words is "one hundred fifty-nine billion, twenty-seven million, three hundred eighty-one thousand, two hundred forty".