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114322121424 = 24327176671459
BaseRepresentation
bin110101001111000100…
…0010010001011010000
3101221002022020111100100
41222132020102023100
53333112430341144
6124304023452400
711155002666360
oct1523610221320
9357068214310
10114322121424
1144535947995
121a1a62b7100
13aa1ba932c4
1457672289a0
152e9179b269
hex1a9e2122d0

114322121424 has 120 divisors (see below), whose sum is σ = 387158166720. Its totient is φ = 30742078464.

The previous prime is 114322121411. The next prime is 114322121449. The reversal of 114322121424 is 424121223411.

114322121424 is a `hidden beast` number, since 1 + 1 + 432 + 212 + 14 + 2 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 3318594 + ... + 3352865.

It is an arithmetic number, because the mean of its divisors is an integer number (3226318056).

Almost surely, 2114322121424 is an apocalyptic number.

114322121424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114322121424 is an abundant number, since it is smaller than the sum of its proper divisors (272836045296).

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

114322121424 is a wasteful number, since it uses less digits than its factorization.

114322121424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6671497 (or 6671488 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 114322121424 its reverse (424121223411), we get a palindrome (538443344835).

The spelling of 114322121424 in words is "one hundred fourteen billion, three hundred twenty-two million, one hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8568 17136 6671459 13342918 20014377 26685836 40028754 46700213 53371672 60043131 80057508 93400426 106743344 113414803 120086262 140100639 160115016 186800852 226829606 240172524 280201278 320230032 340244409 373601704 420301917 453659212 480345048 560402556 680488818 747203408 793903621 840603834 907318424 960690096 1020733227 1120805112 1360977636 1587807242 1681207668 1814636848 2041466454 2241610224 2381710863 2721955272 3175614484 3362415336 4082932908 4763421726 5443910544 6351228968 6724830672 7145132589 8165865816 9526843452 12702457936 14290265178 16331731632 19053686904 28580530356 38107373808 57161060712 114322121424