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134019544113 = 3472132779377
BaseRepresentation
bin111110011010000101…
…1111111010000110001
3110210221001102020120000
41330310023333100301
54143433000402423
6141322343540213
712453062220600
oct1746413772061
9423831366500
10134019544113
11519235a2114
1221b82a5a669
13c83a879cc0
1466b5269a37
153745b99843
hex1f342ff431

134019544113 has 120 divisors (see below), whose sum is σ = 251734816872. Its totient is φ = 70428911616.

The previous prime is 134019544103. The next prime is 134019544133. The reversal of 134019544113 is 311445910431.

It is a happy number.

134019544113 is a `hidden beast` number, since 13 + 4 + 0 + 195 + 441 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5563966464 + 128455577649 = 74592^2 + 358407^2 .

It is not a de Polignac number, because 134019544113 - 217 = 134019413041 is a prime.

It is a super-2 number, since 2×1340195441132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134019544103) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14287681 + ... + 14297057.

Almost surely, 2134019544113 is an apocalyptic number.

134019544113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

134019544113 is a deficient number, since it is larger than the sum of its proper divisors (117715272759).

134019544113 is a wasteful number, since it uses less digits than its factorization.

134019544113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9693 (or 9677 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 134019544113 in words is "one hundred thirty-four billion, nineteen million, five hundred forty-four thousand, one hundred thirteen".

Divisors: 1 3 7 9 13 21 27 39 49 63 81 91 117 147 189 273 277 351 441 567 637 819 831 1053 1323 1911 1939 2457 2493 3601 3969 5733 5817 7371 7479 9377 10803 13573 17199 17451 22437 25207 28131 32409 40719 51597 52353 65639 75621 84393 97227 121901 122157 157059 176449 196917 226863 253179 291681 365703 366471 459473 529347 590751 680589 759537 853307 1097109 1099413 1378419 1588041 1772253 2041767 2559921 2597429 3291327 4135257 4764123 5316759 5973149 7679763 7792287 9873981 12405771 14292369 17919447 18182003 23039289 23376861 33766577 37217313 53758341 54546009 69117867 70130583 101299731 127274021 161275023 163638027 210391749 236366039 303899193 381822063 483825069 490914081 709098117 911697579 1145466189 1472742243 1654562273 2127294351 2735092737 3436398567 4963686819 6381883053 10309195701 14891060457 19145649159 44673181371 134019544113