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13432342103440 = 2451364719962463
BaseRepresentation
bin1100001101110111010111…
…1110101100010110010000
31202120010020000102222120021
43003131311332230112100
53230033414034302230
644322422140153224
72554311650011231
oct303356576542620
952503200388507
1013432342103440
114309695a340a7
12160b340238814
13765883985a70
143461b3701088
151846155e5c7a
hexc3775fac590

13432342103440 has 80 divisors (see below), whose sum is σ = 33684502053888. Its totient is φ = 4951968173568.

The previous prime is 13432342103399. The next prime is 13432342103489. The reversal of 13432342103440 is 4430124323431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×134323421034403 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13432342103396 and 13432342103405.

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, 9308352 + ... + 10654111.

Almost surely, 213432342103440 is an apocalyptic number.

13432342103440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13432342103440 is an abundant number, since it is smaller than the sum of its proper divisors (20252159950448).

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

13432342103440 is a wasteful number, since it uses less digits than its factorization.

13432342103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19963136 (or 19963130 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 13432342103440 its reverse (4430124323431), we get a palindrome (17862466426871).

The spelling of 13432342103440 in words is "thirteen trillion, four hundred thirty-two billion, three hundred forty-two million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 647 1040 1294 2588 3235 5176 6470 8411 10352 12940 16822 25880 33644 42055 51760 67288 84110 134576 168220 336440 672880 19962463 39924926 79849852 99812315 159699704 199624630 259512019 319399408 399249260 519024038 798498520 1038048076 1297560095 1596997040 2076096152 2595120190 4152192304 5190240380 10380480760 12915713561 20760961520 25831427122 51662854244 64578567805 103325708488 129157135610 167904276293 206651416976 258314271220 335808552586 516628542440 671617105172 839521381465 1033257084880 1343234210344 1679042762930 2686468420688 3358085525860 6716171051720 13432342103440