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114525334151400 = 23352241792014759
BaseRepresentation
bin11010000010100100000001…
…110111000010000011101000
3120000111111220110010102122110
4122002210001313002003220
5110002340341020321100
61043324113455522320
733060116354242134
oct3202440167020350
9500444813112573
10114525334151400
1133544a15506167
1210a1793a8293a0
134bb9900a48693
14203d0acd903c4
15d391004cb250
hex682901dc20e8

114525334151400 has 96 divisors (see below), whose sum is σ = 356501683771200. Its totient is φ = 30413366707200.

The previous prime is 114525334151383. The next prime is 114525334151443. The reversal of 114525334151400 is 4151433525411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395862780 + ... + 396151979.

It is an arithmetic number, because the mean of its divisors is an integer number (3713559205950).

Almost surely, 2114525334151400 is an apocalyptic number.

114525334151400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114525334151400 is an abundant number, since it is smaller than the sum of its proper divisors (241976349619800).

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

114525334151400 is a wasteful number, since it uses less digits than its factorization.

114525334151400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792015019 (or 792015010 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

Adding to 114525334151400 its reverse (4151433525411), we get a palindrome (118676767676811).

The spelling of 114525334151400 in words is "one hundred fourteen trillion, five hundred twenty-five billion, three hundred thirty-four million, one hundred fifty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 241 300 482 600 723 964 1205 1446 1928 2410 2892 3615 4820 5784 6025 7230 9640 12050 14460 18075 24100 28920 36150 48200 72300 144600 792014759 1584029518 2376044277 3168059036 3960073795 4752088554 6336118072 7920147590 9504177108 11880221385 15840295180 19008354216 19800368975 23760442770 31680590360 39600737950 47520885540 59401106925 79201475900 95041771080 118802213850 158402951800 190875556919 237604427700 381751113838 475208855400 572626670757 763502227676 954377784595 1145253341514 1527004455352 1908755569190 2290506683028 2863133353785 3817511138380 4581013366056 4771888922975 5726266707570 7635022276760 9543777845950 11452533415140 14315666768925 19087555691900 22905066830280 28631333537850 38175111383800 57262667075700 114525334151400