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13444521302496 = 253372102298829
BaseRepresentation
bin1100001110100100101111…
…1010101001100111100000
31202121021122210202101210210
43003221023322221213200
53230233334423134441
644332154450454120
72555222525336214
oct303511372514740
952537583671723
1013444521302496
114313875860669
12161177ab94340
13766a74ca0a1b
14346a0b048944
15184ac9962616
hexc3a4bea99e0

13444521302496 has 72 divisors (see below), whose sum is σ = 36271482360120. Its totient is φ = 4360385244672.

The previous prime is 13444521302491. The next prime is 13444521302581. The reversal of 13444521302496 is 69420312544431.

13444521302496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13444521302491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51017991 + ... + 51280838.

It is an arithmetic number, because the mean of its divisors is an integer number (503770588335).

Almost surely, 213444521302496 is an apocalyptic number.

13444521302496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13444521302496 is an abundant number, since it is smaller than the sum of its proper divisors (22826961057624).

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

13444521302496 is a wasteful number, since it uses less digits than its factorization.

13444521302496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102298916 (or 102298871 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 13444521302496 in words is "thirteen trillion, four hundred forty-four billion, five hundred twenty-one million, three hundred two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1369 1776 2738 3552 4107 5476 8214 10952 16428 21904 32856 43808 65712 131424 102298829 204597658 306896487 409195316 613792974 818390632 1227585948 1636781264 2455171896 3273562528 3785056673 4910343792 7570113346 9820687584 11355170019 15140226692 22710340038 30280453384 45420680076 60560906768 90841360152 121121813536 140047096901 181682720304 280094193802 363365440608 420141290703 560188387604 840282581406 1120376775208 1680565162812 2240753550416 3361130325624 4481507100832 6722260651248 13444521302496