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13302142044000 = 253531108511837
BaseRepresentation
bin1100000110010010010101…
…1100111000011101100000
31202002200011011001122222120
43001210211130320131200
53220420241330402000
644142530353104240
72542022323531215
oct301444534703540
952080134048876
1013302142044000
114269452441397
1215aa064558080
13756504505b84
1433db81839b0c
15181044e156a0
hexc1925738760

13302142044000 has 96 divisors (see below), whose sum is σ = 43577817375456. Its totient is φ = 3547237875200.

The previous prime is 13302142043977. The next prime is 13302142044007. The reversal of 13302142044000 is 44024120331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13302142044007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554243919 + ... + 554267918.

It is an arithmetic number, because the mean of its divisors is an integer number (453935597661).

Almost surely, 213302142044000 is an apocalyptic number.

13302142044000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13302142044000 is an abundant number, since it is smaller than the sum of its proper divisors (30275675331456).

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

13302142044000 is a wasteful number, since it uses less digits than its factorization.

13302142044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108511865 (or 1108511847 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13302142044000 its reverse (44024120331), we get a palindrome (13346166164331).

The spelling of 13302142044000 in words is "thirteen trillion, three hundred two billion, one hundred forty-two million, forty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1108511837 2217023674 3325535511 4434047348 5542559185 6651071022 8868094696 11085118370 13302142044 16627677555 17736189392 22170236740 26604284088 27712795925 33255355110 35472378784 44340473480 53208568176 55425591850 66510710220 83138387775 88680946960 106417136352 110851183700 133021420440 138563979625 166276775550 177361893920 221702367400 266042840880 277127959250 332553551100 415691938875 443404734800 532085681760 554255918500 665107102200 831383877750 886809469600 1108511837000 1330214204400 1662767755500 2217023674000 2660428408800 3325535511000 4434047348000 6651071022000 13302142044000