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151141457361356 = 227113791294773133
BaseRepresentation
bin100010010111011001011100…
…111000000111100111001100
3201211010222112000212201121022
4202113121130320013213030
5124302300201041030411
61253241232120453312
743556416132221560
oct4227313470074714
9654128460781538
10151141457361356
1144181806481470
1214b5028831a238
13664476960a127
1429473dd8556a0
1512718097dcedb
hex89765ce079cc

151141457361356 has 48 divisors (see below), whose sum is σ = 330633267498240. Its totient is φ = 58730909267520.

The previous prime is 151141457361353. The next prime is 151141457361379. The reversal of 151141457361356 is 653163754141151.

151141457361356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 151141457361298 and 151141457361307.

It is not an unprimeable number, because it can be changed into a prime (151141457361353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647269835 + ... + 647503298.

It is an arithmetic number, because the mean of its divisors is an integer number (6888193072880).

Almost surely, 2151141457361356 is an apocalyptic number.

It is an amenable number.

151141457361356 is an abundant number, since it is smaller than the sum of its proper divisors (179491810136884).

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

151141457361356 is a wasteful number, since it uses less digits than its factorization.

151141457361356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294773534 (or 1294773532 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 53.

The spelling of 151141457361356 in words is "one hundred fifty-one trillion, one hundred forty-one billion, four hundred fifty-seven million, three hundred sixty-one thousand, three hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 379 758 1516 2653 4169 5306 8338 10612 16676 29183 58366 116732 1294773133 2589546266 5179092532 9063411931 14242504463 18126823862 28485008926 36253647724 56970017852 99697531241 199395062482 398790124964 490719017407 981438034814 1962876069628 3435033121849 5397909191477 6870066243698 10795818382954 13740132487396 21591636765908 37785364340339 75570728680678 151141457361356