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13444514202 = 23729101293373
BaseRepresentation
bin11001000010101101…
…10000000110011010
31021200222020002022110
430201112300012122
5210013243423302
610102030333150
7654111325260
oct144126600632
937628202273
1013444514202
11577a094569
12273265a1b6
1313634ca762
149177da430
1553a4a9b6c
hex3215b019a

13444514202 has 128 divisors (see below), whose sum is σ = 32300674560. Its totient is φ = 3649766400.

The previous prime is 13444514179. The next prime is 13444514219. The reversal of 13444514202 is 20241544431.

It is a self number, because there is not a number n which added to its sum of digits gives 13444514202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36044088 + ... + 36044460.

It is an arithmetic number, because the mean of its divisors is an integer number (252349020).

Almost surely, 213444514202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13444514202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16150337280).

13444514202 is an abundant number, since it is smaller than the sum of its proper divisors (18856160358).

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

13444514202 is a wasteful number, since it uses less digits than its factorization.

13444514202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808.

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 13444514202 in words is "thirteen billion, four hundred forty-four million, five hundred fourteen thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 101 174 202 203 293 303 373 406 586 606 609 707 746 879 1119 1218 1414 1758 2051 2121 2238 2611 2929 4102 4242 5222 5858 6153 7833 8497 8787 10817 12306 15666 16994 17574 20503 21634 25491 29593 32451 37673 41006 50982 59186 59479 61509 64902 75346 75719 88779 109289 113019 118958 123018 151438 177558 178437 207151 218578 226038 227157 263711 327867 356874 414302 454314 527422 621453 655734 765023 791133 858197 1092517 1242906 1530046 1582266 1716394 2185034 2295069 2574591 3169381 3277551 4590138 5149182 6007379 6338762 6555102 7647619 9508143 11038189 12014758 15295238 18022137 19016286 22076378 22185667 22942857 33114567 36044274 44371334 45885714 66229134 66557001 77267323 133114002 154534646 231801969 320107481 463603938 640214962 960322443 1920644886 2240752367 4481504734 6722257101 13444514202