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114021141234 = 237211132712077
BaseRepresentation
bin110101000110000110…
…0001000101011110010
3101220022022220010010220
41222030030020223302
53332003403004414
6124214112433510
711144356465200
oct1521414105362
9356268803126
10114021141234
11443a0a64030
121a121548896
13a9a1611310
14573927c070
152e75146ca9
hex1a8c308af2

114021141234 has 96 divisors (see below), whose sum is σ = 311650307136. Its totient is φ = 27337726080.

The previous prime is 114021141233. The next prime is 114021141253. The reversal of 114021141234 is 432141120411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114021141233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1313997 + ... + 1398080.

It is an arithmetic number, because the mean of its divisors is an integer number (3246357366).

Almost surely, 2114021141234 is an apocalyptic number.

114021141234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

114021141234 is an abundant number, since it is smaller than the sum of its proper divisors (197629165902).

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

114021141234 is a wasteful number, since it uses less digits than its factorization.

114021141234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712120 (or 2712113 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114021141234 its reverse (432141120411), we get a palindrome (546162261645).

It can be divided in two parts, 114021 and 141234, that added together give a triangular number (255255 = T714).

The spelling of 114021141234 in words is "one hundred fourteen billion, twenty-one million, one hundred forty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 49 66 77 78 91 98 143 147 154 182 231 273 286 294 429 462 539 546 637 858 1001 1078 1274 1617 1911 2002 3003 3234 3822 6006 7007 14014 21021 42042 2712077 5424154 8136231 16272462 18984539 29832847 35257001 37969078 56953617 59665694 70514002 89498541 105771003 113907234 132891773 178997082 208829929 211542006 246799007 265783546 387827011 398675319 417659858 493598014 626489787 740397021 775654022 797350638 1163481033 1252979574 1461809503 1480794042 1727593049 2326962066 2714789077 2923619006 3455186098 4385428509 5182779147 5429578154 8144367231 8770857018 10365558294 16288734462 19003523539 38007047078 57010570617 114021141234