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13341134241144 = 23323732683185153
BaseRepresentation
bin1100001000100011100110…
…0100010011110101111000
31202020101210120202111212100
43002020321210103311320
53222040120331204034
644212455451143400
72544602512662243
oct302107144236570
952211716674770
1013341134241144
114283a41527206
1215b5726a44b60
1375a0a9848788
14341a0022825a
151820781c9099
hexc2239913d78

13341134241144 has 96 divisors (see below), whose sum is σ = 36242806794480. Its totient is φ = 4433445384192.

The previous prime is 13341134241143. The next prime is 13341134241179. The reversal of 13341134241144 is 44114243114331.

13341134241144 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 113 + 424 + 114 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13341134241099 and 13341134241108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13341134241143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71962072 + ... + 72147224.

Almost surely, 213341134241144 is an apocalyptic number.

It is an amenable number.

13341134241144 is an abundant number, since it is smaller than the sum of its proper divisors (22901672553336).

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

13341134241144 is a wasteful number, since it uses less digits than its factorization.

13341134241144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188221 (or 188214 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 13341134241144 its reverse (44114243114331), we get a palindrome (57455377355475).

The spelling of 13341134241144 in words is "thirteen trillion, three hundred forty-one billion, one hundred thirty-four million, two hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 373 746 1119 1492 2238 2683 2984 3357 4476 5366 6714 8049 8952 10732 13428 16098 21464 24147 26856 32196 48294 64392 96588 185153 193176 370306 555459 740612 1000759 1110918 1481224 1666377 2001518 2221836 3002277 3332754 4003036 4443672 6004554 6665508 8006072 9006831 12009108 13331016 18013662 24018216 36027324 69062069 72054648 138124138 207186207 276248276 414372414 496765499 552496552 621558621 828744828 993530998 1243117242 1490296497 1657489656 1987061996 2486234484 2980592994 3974123992 4470889491 4972468968 5961185988 8941778982 11922371976 17883557964 35767115928 185293531127 370587062254 555880593381 741174124508 1111761186762 1482348249016 1667641780143 2223522373524 3335283560286 4447044747048 6670567120572 13341134241144