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13442403141120 = 29351750312909
BaseRepresentation
bin1100001110011100110110…
…1010100000011000000000
31202121002012012001122122110
43003213031222200120000
53230220020201003440
644331204343135320
72555116165301502
oct303471552403000
952532165048573
1013442403141120
114312989148678
121611289744540
137667c81c45b5
143468899d1d72
15184a03a0e080
hexc39cdaa0600

13442403141120 has 80 divisors (see below), whose sum is σ = 42973682566320. Its totient is φ = 3584640835584.

The previous prime is 13442403141077. The next prime is 13442403141131. The reversal of 13442403141120 is 2114130424431.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 875148775 + ... + 875164134.

It is an arithmetic number, because the mean of its divisors is an integer number (537171032079).

Almost surely, 213442403141120 is an apocalyptic number.

13442403141120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13442403141120 is an abundant number, since it is smaller than the sum of its proper divisors (29531279425200).

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

13442403141120 is an equidigital number, since it uses as much as digits as its factorization.

13442403141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750312935 (or 1750312919 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 13442403141120 its reverse (2114130424431), we get a palindrome (15556533565551).

The spelling of 13442403141120 in words is "thirteen trillion, four hundred forty-two billion, four hundred three million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 1750312909 3500625818 5250938727 7001251636 8751564545 10501877454 14002503272 17503129090 21003754908 26254693635 28005006544 35006258180 42007509816 52509387270 56010013088 70012516360 84015019632 105018774540 112020026176 140025032720 168030039264 210037549080 224040052352 280050065440 336060078528 420075098160 448080104704 560100130880 672120157056 840150196320 896160209408 1120200261760 1344240314112 1680300392640 2240400523520 2688480628224 3360600785280 4480801047040 6721201570560 13442403141120