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13392874144332 = 2233397312362957
BaseRepresentation
bin1100001011100100010110…
…0000011000001001001100
31202102100100102111220222000
43002321011200120021030
53223412101240104312
644252333524552300
72551413622623114
oct302710540301114
952370312456860
1013392874144332
1142a3982337281
121603766552690
13761c33bc64c7
1434430ba6a044
151835a56a5adc
hexc2e4581824c

13392874144332 has 48 divisors (see below), whose sum is σ = 34809728039520. Its totient is φ = 4453046300736.

The previous prime is 13392874144319. The next prime is 13392874144367. The reversal of 13392874144332 is 23344147829331.

13392874144332 is a `hidden beast` number, since 1 + 3 + 3 + 92 + 87 + 4 + 1 + 443 + 32 = 666.

It is a super-3 number, since 3×133928741443323 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156138603 + ... + 156224354.

It is an arithmetic number, because the mean of its divisors is an integer number (725202667490).

Almost surely, 213392874144332 is an apocalyptic number.

13392874144332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13392874144332 is an abundant number, since it is smaller than the sum of its proper divisors (21416853895188).

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

13392874144332 is a wasteful number, since it uses less digits than its factorization.

13392874144332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312363367 (or 312363359 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 13392874144332 in words is "thirteen trillion, three hundred ninety-two billion, eight hundred seventy-four million, one hundred forty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 397 794 1191 1588 2382 3573 4764 7146 10719 14292 21438 42876 312362957 624725914 937088871 1249451828 1874177742 2811266613 3748355484 5622533226 8433799839 11245066452 16867599678 33735199356 124008093929 248016187858 372024281787 496032375716 744048563574 1116072845361 1488097127148 2232145690722 3348218536083 4464291381444 6696437072166 13392874144332