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114105042423432 = 233253239771247101
BaseRepresentation
bin11001111100011100100110…
…100001010100111010001000
3112222000100001121002110212100
4121330130212201110322020
5104423444111330022212
61042403044405313400
733014550215426304
oct3174344641247210
9488010047073770
10114105042423432
11333a2749810255
121096a3a3a05860
134b890a046cb18
1420269dbc86d04
15d2d20243dbdc
hex67c726854e88

114105042423432 has 96 divisors (see below), whose sum is σ = 314878713790680. Its totient is φ = 37315786060800.

The previous prime is 114105042423403. The next prime is 114105042423461. The reversal of 114105042423432 is 234324240501411.

114105042423432 is a `hidden beast` number, since 1 + 1 + 410 + 5 + 0 + 4 + 2 + 4 + 234 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (114105042423403) and next prime (114105042423461).

It can be written as a sum of positive squares in 4 ways, for example, as 68458182410916 + 45646860012516 = 8273946^2 + 6756246^2 .

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

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, 90872682 + ... + 92119782.

Almost surely, 2114105042423432 is an apocalyptic number.

114105042423432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114105042423432 is an abundant number, since it is smaller than the sum of its proper divisors (200773671367248).

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

114105042423432 is a wasteful number, since it uses less digits than its factorization.

114105042423432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271143 (or 1271136 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 114105042423432 its reverse (234324240501411), we get a palindrome (348429282924843).

The spelling of 114105042423432 in words is "one hundred fourteen trillion, one hundred five billion, forty-two million, four hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 23977 47954 71931 95908 143862 191816 215793 287724 431586 575448 863172 1247101 1270781 1726344 2494202 2541562 3741303 3812343 4988404 5083124 7482606 7624686 9976808 10166248 11223909 11437029 14965212 15249372 22447818 22874058 29930424 30498744 44895636 45748116 66096353 89791272 91496232 132192706 198289059 264385412 396578118 528770824 594867177 793156236 1189734354 1586312472 2379468708 4758937416 29901740677 59803481354 89705222031 119606962708 179410444062 239213925416 269115666093 358820888124 538231332186 717641776248 1076462664372 1584792255881 2152925328744 3169584511762 4754376767643 6339169023524 9508753535286 12678338047048 14263130302929 19017507070572 28526260605858 38035014141144 57052521211716 114105042423432