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114034553235405 = 32511472104288291
BaseRepresentation
bin11001111011011010111101…
…000010011010011111001101
3112221202121010002020201011200
4121323122331002122133031
5104421320231112013110
61042310430041340113
733006503351263425
oct3173327502323715
9487677102221150
10114034553235405
1133375867476a60
12109587b1197639
134b825488876ca
1420234322d1485
15d2b478ded6c0
hex67b6bd09a7cd

114034553235405 has 72 divisors (see below), whose sum is σ = 220314439841184. Its totient is φ = 54113107915200.

The previous prime is 114034553235391. The next prime is 114034553235481. The reversal of 114034553235405 is 504532355430411.

114034553235405 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 3 + 4 + 5 + 5 + 3 + 235 + 405 = 666.

It is not a de Polignac number, because 114034553235405 - 215 = 114034553202637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51050691 + ... + 53237600.

It is an arithmetic number, because the mean of its divisors is an integer number (3059922775572).

Almost surely, 2114034553235405 is an apocalyptic number.

114034553235405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114034553235405 is a deficient number, since it is larger than the sum of its proper divisors (106279886605779).

114034553235405 is a wasteful number, since it uses less digits than its factorization.

114034553235405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104288407 (or 104288357 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 114034553235405 in words is "one hundred fourteen trillion, thirty-four billion, five hundred fifty-three million, two hundred thirty-five thousand, four hundred five".

Divisors: 1 3 5 9 11 15 33 45 47 55 99 141 165 235 423 495 517 705 1551 2115 2209 2585 4653 6627 7755 11045 19881 23265 24299 33135 72897 99405 121495 218691 364485 1093455 104288291 312864873 521441455 938594619 1147171201 1564324365 3441513603 4692973095 4901549677 5735856005 10324540809 14704649031 17207568015 24507748385 44113947093 51622704045 53917046447 73523245155 161751139341 220569735465 230372834819 269585232235 485253418023 691118504457 808755696705 1151864174095 2073355513371 2426267090115 2534101183009 3455592522285 7602303549027 10366777566855 12670505915045 22806910647081 38011517745135 114034553235405