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13432413243240 = 23325291286629621
BaseRepresentation
bin1100001101110111101000…
…1110000100011101101000
31202120010101222022021000200
43003131322032010131220
53230034040242240430
644322433201032200
72554313502463005
oct303357216043550
952503358267020
1013432413243240
114309722103522
12160b360025660
13765895633314
143461bcd3c8ac
1518461b999460
hexc377a384768

13432413243240 has 96 divisors (see below), whose sum is σ = 45160699732200. Its totient is φ = 3458460418560.

The previous prime is 13432413243191. The next prime is 13432413243259. The reversal of 13432413243240 is 4234231423431.

13432413243240 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 2 + 4 + 1 + 324 + 324 + 0 = 666.

13432413243240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9988798176036 + 3443615067204 = 3160506^2 + 1855698^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13432413243195 and 13432413243204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643304371 + ... + 643325250.

Almost surely, 213432413243240 is an apocalyptic number.

13432413243240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13432413243240 is an abundant number, since it is smaller than the sum of its proper divisors (31728286488960).

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

13432413243240 is a wasteful number, since it uses less digits than its factorization.

13432413243240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286629667 (or 1286629660 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 13432413243240 its reverse (4234231423431), we get a palindrome (17666644666671).

The spelling of 13432413243240 in words is "thirteen trillion, four hundred thirty-two billion, four hundred thirteen million, two hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 1286629621 2573259242 3859888863 5146518484 6433148105 7719777726 10293036968 11579666589 12866296210 15439555452 19299444315 23159333178 25732592420 30879110904 37312259009 38598888630 46318666356 51465184840 57898332945 74624518018 77197777260 92637332712 111936777027 115796665890 149249036036 154395554520 186561295045 223873554054 231593331780 298498072072 335810331081 373122590090 447747108108 463186663560 559683885135 671620662162 746245180180 895494216216 1119367770270 1343241324324 1492490360360 1679051655405 2238735540540 2686482648648 3358103310810 4477471081080 6716206621620 13432413243240