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114123017360 = 24511235638489
BaseRepresentation
bin110101001001001000…
…0110000110010010000
3101220120102120221220202
41222102100300302100
53332210443023420
6124232152154332
711150034433142
oct1522220606220
9356512527822
10114123017360
1144443517080
121a14b6989a8
13a9b9760a51
1457489dac92
152e7e06c575
hex1a92430c90

114123017360 has 80 divisors (see below), whose sum is σ = 302042632320. Its totient is φ = 39694955520.

The previous prime is 114123017297. The next prime is 114123017363. The reversal of 114123017360 is 63710321411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1141230173602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114123017363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2799005 + ... + 2839484.

It is an arithmetic number, because the mean of its divisors is an integer number (3775532904).

Almost surely, 2114123017360 is an apocalyptic number.

114123017360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114123017360 is an abundant number, since it is smaller than the sum of its proper divisors (187919614960).

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

114123017360 is a wasteful number, since it uses less digits than its factorization.

114123017360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5638536 (or 5638530 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

Adding to 114123017360 its reverse (63710321411), we get a palindrome (177833338771).

The spelling of 114123017360 in words is "one hundred fourteen billion, one hundred twenty-three million, seventeen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1265 1840 2024 2530 4048 5060 10120 20240 5638489 11276978 22553956 28192445 45107912 56384890 62023379 90215824 112769780 124046758 129685247 225539560 248093516 259370494 310116895 451079120 496187032 518740988 620233790 648426235 992374064 1037481976 1240467580 1296852470 1426537717 2074963952 2480935160 2593704940 2853075434 4961870320 5187409880 5706150868 7132688585 10374819760 11412301736 14265377170 22824603472 28530754340 57061508680 114123017360