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114233431320 = 233251033080729
BaseRepresentation
bin110101001100011010…
…1111101010100011000
3101220212010100120101200
41222120311331110120
53332422224300240
6124251134514200
711152545100551
oct1523065752430
9356763316350
10114233431320
114449a880788
121a180665960
13aa065ac658
14575953d328
152e88acc930
hex1a98d7d518

114233431320 has 96 divisors (see below), whose sum is σ = 374863226400. Its totient is φ = 30166488576.

The previous prime is 114233431271. The next prime is 114233431339. The reversal of 114233431320 is 23134332411.

It is a happy number.

114233431320 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 334 + 3 + 1 + 320 = 666.

It is a super-2 number, since 2×1142334313202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1503285 + ... + 1577444.

It is an arithmetic number, because the mean of its divisors is an integer number (3904825275).

Almost surely, 2114233431320 is an apocalyptic number.

114233431320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114233431320 is an abundant number, since it is smaller than the sum of its proper divisors (260629795080).

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

114233431320 is a wasteful number, since it uses less digits than its factorization.

114233431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080849 (or 3080842 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 114233431320 its reverse (23134332411), we get a palindrome (137367763731).

The spelling of 114233431320 in words is "one hundred fourteen billion, two hundred thirty-three million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 103 120 180 206 309 360 412 515 618 824 927 1030 1236 1545 1854 2060 2472 3090 3708 4120 4635 6180 7416 9270 12360 18540 37080 3080729 6161458 9242187 12322916 15403645 18484374 24645832 27726561 30807290 36968748 46210935 55453122 61614580 73937496 92421870 110906244 123229160 138632805 184843740 221812488 277265610 317315087 369687480 554531220 634630174 951945261 1109062440 1269260348 1586575435 1903890522 2538520696 2855835783 3173150870 3807781044 4759726305 5711671566 6346301740 7615562088 9519452610 11423343132 12692603480 14279178915 19038905220 22846686264 28558357830 38077810440 57116715660 114233431320