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114715983840 = 25351912578507
BaseRepresentation
bin110101011010110011…
…0101111111111100000
3101222002202100210000020
41222311212233333200
53334414242440330
6124411053353440
711200524526323
oct1526546577740
9358082323006
10114715983840
1144718200617
121a296198880
13aa825660a3
1457a36727ba
152eb614b210
hex1ab59affe0

114715983840 has 96 divisors (see below), whose sum is σ = 380374081920. Its totient is φ = 28980877824.

The previous prime is 114715983829. The next prime is 114715983841. The reversal of 114715983840 is 48389517411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1147159838402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114715983841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6280134 + ... + 6298373.

It is an arithmetic number, because the mean of its divisors is an integer number (3962230020).

Almost surely, 2114715983840 is an apocalyptic number.

114715983840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114715983840 is an abundant number, since it is smaller than the sum of its proper divisors (265658098080).

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

114715983840 is a wasteful number, since it uses less digits than its factorization.

114715983840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12578544 (or 12578536 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 114715983840 in words is "one hundred fourteen billion, seven hundred fifteen million, nine hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 12578507 25157014 37735521 50314028 62892535 75471042 100628056 125785070 150942084 188677605 201256112 238991633 251570140 301884168 377355210 402512224 477983266 503140280 603768336 716974899 754710420 955966532 1006280560 1194958165 1207536672 1433949798 1509420840 1911933064 2012561120 2389916330 2867899596 3018841680 3584874495 3823866128 4779832660 5735799192 6037683360 7169748990 7647732256 9559665320 11471598384 14339497980 19119330640 22943196768 28678995960 38238661280 57357991920 114715983840