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114173135640 = 233251092909611
BaseRepresentation
bin110101001010100111…
…1111100101100011000
3101220200220220020021100
41222111033330230120
53332311310320030
6124241142311400
711151213432444
oct1522517745430
9356626806240
10114173135640
1144469838743
121a164428560
13a9c6c5ac35
145751525824
152e8366c360
hex1a953fcb18

114173135640 has 96 divisors (see below), whose sum is σ = 374467064400. Its totient is φ = 30166836480.

The previous prime is 114173135539. The next prime is 114173135653. The reversal of 114173135640 is 46531371411.

114173135640 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 7 + 3 + 1 + 3 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 114173135595 and 114173135604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1415566 + ... + 1494045.

Almost surely, 2114173135640 is an apocalyptic number.

114173135640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114173135640 is an abundant number, since it is smaller than the sum of its proper divisors (260293928760).

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

114173135640 is a wasteful number, since it uses less digits than its factorization.

114173135640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909737 (or 2909730 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 114173135640 in words is "one hundred fourteen billion, one hundred seventy-three million, one hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 109 120 180 218 327 360 436 545 654 872 981 1090 1308 1635 1962 2180 2616 3270 3924 4360 4905 6540 7848 9810 13080 19620 39240 2909611 5819222 8728833 11638444 14548055 17457666 23276888 26186499 29096110 34915332 43644165 52372998 58192220 69830664 87288330 104745996 116384440 130932495 174576660 209491992 261864990 317147599 349153320 523729980 634295198 951442797 1047459960 1268590396 1585737995 1902885594 2537180792 2854328391 3171475990 3805771188 4757213985 5708656782 6342951980 7611542376 9514427970 11417313564 12685903960 14271641955 19028855940 22834627128 28543283910 38057711880 57086567820 114173135640