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13423869396144 = 2432148962606659
BaseRepresentation
bin1100001101010111110011…
…1101111000010010110000
31202112022100112112212011100
43003111330331320102300
53224414041031134034
644314501312444400
72553561666125544
oct303257475702260
952468315485140
1013423869396144
114306038350769
121609776849700
13764b335254ac
14345a0c347a24
151842bb874099
hexc357cf784b0

13423869396144 has 60 divisors (see below), whose sum is σ = 37593421130200. Its totient is φ = 4471617940992.

The previous prime is 13423869396143. The next prime is 13423869396187. The reversal of 13423869396144 is 44169396832431.

It is a happy number.

13423869396144 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 3 + 8 + 6 + 9 + 3 + 9 + 614 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13423869396143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31088914 + ... + 31517745.

Almost surely, 213423869396144 is an apocalyptic number.

It is an amenable number.

13423869396144 is an abundant number, since it is smaller than the sum of its proper divisors (24169551734056).

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

13423869396144 is a wasteful number, since it uses less digits than its factorization.

13423869396144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62608162 (or 62608153 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 13423869396144 in words is "thirteen trillion, four hundred twenty-three billion, eight hundred sixty-nine million, three hundred ninety-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1489 2978 4467 5956 8934 11912 13401 17868 23824 26802 35736 53604 71472 107208 214416 62606659 125213318 187819977 250426636 375639954 500853272 563459931 751279908 1001706544 1126919862 1502559816 2253839724 3005119632 4507679448 9015358896 93221315251 186442630502 279663945753 372885261004 559327891506 745770522008 838991837259 1118655783012 1491541044016 1677983674518 2237311566024 3355967349036 4474623132048 6711934698072 13423869396144