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114313020240 = 24354710134133
BaseRepresentation
bin110101001110110010…
…1100100001101010000
3101221001200010002212110
41222131211210031100
53333103113121430
6124303100425320
711154532432326
oct1523545441520
9357050102773
10114313020240
11445307a1051
121a1a3248240
13aa19c278a3
145765d39d16
152e90a9e7b0
hex1a9d964350

114313020240 has 80 divisors (see below), whose sum is σ = 361910193408. Its totient is φ = 29834884608.

The previous prime is 114313020197. The next prime is 114313020247. The reversal of 114313020240 is 42020313411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114313020247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5055787 + ... + 5078346.

Almost surely, 2114313020240 is an apocalyptic number.

114313020240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114313020240 is an abundant number, since it is smaller than the sum of its proper divisors (247597173168).

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

114313020240 is a wasteful number, since it uses less digits than its factorization.

114313020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10134196 (or 10134190 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 114313020240 its reverse (42020313411), we get a palindrome (156333333651).

The spelling of 114313020240 in words is "one hundred fourteen billion, three hundred thirteen million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 10134133 20268266 30402399 40536532 50670665 60804798 81073064 101341330 121609596 152011995 162146128 202682660 243219192 304023990 405365320 476304251 486438384 608047980 810730640 952608502 1216095960 1428912753 1905217004 2381521255 2432191920 2857825506 3810434008 4763042510 5715651012 7144563765 7620868016 9526085020 11431302024 14289127530 19052170040 22862604048 28578255060 38104340080 57156510120 114313020240