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15120143152152 = 23319251331399107
BaseRepresentation
bin1101110000000110111011…
…0000101111010000011000
31222112110201202212212120120
43130001232300233100120
53440212023121332102
652054033050153240
73120252146141163
oct334015660572030
958473652785516
1015120143152152
1148aa46469aa65
121842475422820
13858a91c78b5c
143a3b66c42ada
151b3499e956bc
hexdc06ec2f418

15120143152152 has 128 divisors (see below), whose sum is σ = 40069166054400. Its totient is φ = 4741379280000.

The previous prime is 15120143152069. The next prime is 15120143152181. The reversal of 15120143152152 is 25125134102151.

It is a super-2 number, since 2×151201431521522 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37685383 + ... + 38084489.

It is an arithmetic number, because the mean of its divisors is an integer number (313040359800).

Almost surely, 215120143152152 is an apocalyptic number.

15120143152152 is a gapful number since it is divisible by the number (12) 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 15120143152152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20034583027200).

15120143152152 is an abundant number, since it is smaller than the sum of its proper divisors (24949022902248).

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

15120143152152 is a wasteful number, since it uses less digits than its factorization.

15120143152152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399717 (or 399713 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The spelling of 15120143152152 in words is "fifteen trillion, one hundred twenty billion, one hundred forty-three million, one hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 251 331 456 502 662 753 993 1004 1324 1506 1986 2008 2648 3012 3972 4769 6024 6289 7944 9538 12578 14307 18867 19076 25156 28614 37734 38152 50312 57228 75468 83081 114456 150936 166162 249243 332324 399107 498486 664648 798214 996972 1197321 1578539 1596428 1993944 2394642 3157078 3192856 4735617 4789284 6314156 7583033 9471234 9578568 12628312 15166066 18942468 22749099 30332132 37884936 45498198 60664264 90996396 100175857 132104417 181992792 200351714 264208834 300527571 396313251 400703428 528417668 601055142 792626502 801406856 1056835336 1202110284 1585253004 1903341283 2404220568 2509983923 3170506008 3806682566 5019967846 5710023849 7529951769 7613365132 10039935692 11420047698 15059903538 15226730264 20079871384 22840095396 30119807076 33158208667 45680190792 60239614152 66316417334 99474626001 132632834668 198949252002 265265669336 397898504004 630005964673 795797008008 1260011929346 1890017894019 2520023858692 3780035788038 5040047717384 7560071576076 15120143152152