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134004154506201 = 3373721773880109
BaseRepresentation
bin11110011110000001000110…
…000001110001101111011001
3122120110200010221010202211000
4132132001012001301233121
5120031011002023144301
61153000354141255213
740140323604346560
oct3636010601615731
9576420127122730
10134004154506201
113977492a8128a1
1213042aa0264509
1359a06cacbb2c5
142513b9b190bd7
151075b50148786
hex79e046071bd9

134004154506201 has 64 divisors (see below), whose sum is σ = 233028344102400. Its totient is φ = 74500733829888.

The previous prime is 134004154506161. The next prime is 134004154506223. The reversal of 134004154506201 is 102605451400431.

134004154506201 is a `hidden beast` number, since 1 + 3 + 40 + 0 + 41 + 54 + 506 + 20 + 1 = 666.

It is not a de Polignac number, because 134004154506201 - 211 = 134004154504153 is a prime.

It is a super-2 number, since 2×1340041545062012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134004154506241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151818535 + ... + 152698643.

It is an arithmetic number, because the mean of its divisors is an integer number (3641067876600).

Almost surely, 2134004154506201 is an apocalyptic number.

It is an amenable number.

134004154506201 is a deficient number, since it is larger than the sum of its proper divisors (99024189596199).

134004154506201 is a wasteful number, since it uses less digits than its factorization.

134004154506201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901935 (or 901929 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 134004154506201 in words is "one hundred thirty-four trillion, four billion, one hundred fifty-four million, five hundred six thousand, two hundred one".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 999 2331 6993 21773 65319 152411 195957 457233 587871 805601 880109 1371699 2416803 2640327 4115097 5639207 6160763 7250409 7920981 16917621 18482289 21751227 23762943 32564033 50752863 55446867 97692099 152258589 166340601 227948231 293076297 683844693 879228891 2051534079 6154602237 19162613257 57487839771 134138292799 172463519313 402414878397 517390557939 709016690509 1207244635191 2127050071527 3621733905573 4963116833563 6381150214581 14889350500689 19143450643743 44668051502067 134004154506201