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13444514362450 = 252412974213917
BaseRepresentation
bin1100001110100100101110…
…0000001011010001010010
31202121021122022200210212001
43003221023200023101102
53230233331134044300
644332154042024214
72555222412342643
oct303511340132122
952537568623761
1013444514362450
114313871950496
1216117787a806a
13766a73710ba2
14346a0a15d6ca
15184ac904116a
hexc3a4b80b452

13444514362450 has 144 divisors (see below), whose sum is σ = 25963975121112. Its totient is φ = 5178894336000.

The previous prime is 13444514362439. The next prime is 13444514362451. The reversal of 13444514362450 is 5426341544431.

It is a happy number.

It can be written as a sum of positive squares in 36 ways, for example, as 12586054668489 + 858459693961 = 3547683^2 + 926531^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13444514362450.

It is not an unprimeable number, because it can be changed into a prime (13444514362451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3432347892 + ... + 3432351808.

Almost surely, 213444514362450 is an apocalyptic number.

13444514362450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13444514362450 is a deficient number, since it is larger than the sum of its proper divisors (12519460758662).

13444514362450 is a wasteful number, since it uses less digits than its factorization.

13444514362450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4529 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 46.

The spelling of 13444514362450 in words is "thirteen trillion, four hundred forty-four billion, five hundred fourteen million, three hundred sixty-two thousand, four hundred fifty".

Divisors: 1 2 5 10 25 41 50 82 97 194 205 410 421 485 842 970 1025 1681 2050 2105 2425 3362 3917 3977 4210 4850 7834 7954 8405 10525 16810 17261 19585 19885 21050 34522 39170 39770 40837 42025 81674 84050 86305 97925 99425 160597 163057 172610 195850 198850 204185 321194 326114 379949 408370 431525 707701 759898 802985 815285 863050 1020925 1415402 1605970 1630570 1649057 1674317 1899745 2041850 3298114 3348634 3538505 3799490 4014925 4076425 6584477 7077010 8029850 8152850 8245285 8371585 9498725 13168954 15577909 16490570 16743170 17692525 18997450 31155818 32922385 35385050 41226425 41857925 65844770 67611337 68646997 77889545 82452850 83715850 135222674 137293994 155779090 159958529 164611925 319917058 329223850 338056685 343234985 389447725 638694269 676113370 686469970 778895450 799792645 1277388538 1599585290 1690283425 1716174925 2772064817 3193471345 3380566850 3432349850 3998963225 5544129634 6386942690 6558299689 7997926450 13116599378 13860324085 15967356725 27720648170 31934713450 32791498445 65582996890 69301620425 138603240850 163957492225 268890287249 327914984450 537780574498 1344451436245 2688902872490 6722257181225 13444514362450