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134220033130014 = 2321313723471783889
BaseRepresentation
bin11110100001001010001001…
…011001010111111000011110
3122121020022100212212010021200
4132201022021121113320132
5120043030111440130024
61153243455413340330
740162035354361506
oct3641121131277036
9577208325763250
10134220033130014
113984843a658097
12130788a96376a6
1359b7b82ba7270
1425203da04aa06
15107b5875da2c9
hex7a1289657e1e

134220033130014 has 96 divisors (see below), whose sum is σ = 315600652654560. Its totient is φ = 40979532220416.

The previous prime is 134220033129997. The next prime is 134220033130031. The reversal of 134220033130014 is 410031330022431.

It is a happy number.

134220033130014 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 20 + 0 + 331 + 300 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (134220033129997) and next prime (134220033130031).

It is a self number, because there is not a number n which added to its sum of digits gives 134220033130014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74348182 + ... + 76132070.

It is an arithmetic number, because the mean of its divisors is an integer number (3287506798485).

Almost surely, 2134220033130014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134220033130014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157800326327280).

134220033130014 is an abundant number, since it is smaller than the sum of its proper divisors (181380619524546).

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

134220033130014 is a wasteful number, since it uses less digits than its factorization.

134220033130014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786394 (or 1786391 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 134220033130014 its reverse (410031330022431), we get a palindrome (544251363152445).

The spelling of 134220033130014 in words is "one hundred thirty-four trillion, two hundred twenty billion, thirty-three million, one hundred thirty thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 137 234 274 411 822 1233 1781 2347 2466 3562 4694 5343 7041 10686 14082 16029 21123 30511 32058 42246 61022 91533 183066 274599 321539 549198 643078 964617 1783889 1929234 2893851 3567778 4180007 5351667 5787702 8360014 10703334 12540021 16055001 23190557 25080042 32110002 37620063 46381114 69571671 75240126 139143342 208715013 244392793 417430026 488785586 733178379 1466356758 2199535137 3177106309 4186787483 4399070274 6354212618 8373574966 9531318927 12560362449 19062637854 25120724898 28593956781 37681087347 54428237279 57187913562 75362174694 108856474558 163284711837 326569423674 489854135511 573589885171 979708271022 1147179770342 1720769655513 3441539311026 5162308966539 7456668507223 10324617933078 14913337014446 22370005521669 44740011043338 67110016565007 134220033130014