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114238003768 = 23725919725073
BaseRepresentation
bin110101001100100011…
…1011001101000111000
3101220212102221212121121
41222121013121220320
53332424412110033
6124251420515024
711152632003400
oct1523107315070
9356772855547
10114238003768
11444a2414069
121a1820aba74
13aa07520945
145759dad800
152e891d262d
hex1a991d9a38

114238003768 has 96 divisors (see below), whose sum is σ = 254686647600. Its totient is φ = 47883107328.

The previous prime is 114238003751. The next prime is 114238003771. The reversal of 114238003768 is 867300832411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4543680 + ... + 4568752.

Almost surely, 2114238003768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114238003768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127343323800).

114238003768 is an abundant number, since it is smaller than the sum of its proper divisors (140448643832).

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

114238003768 is a wasteful number, since it uses less digits than its factorization.

114238003768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25349 (or 25338 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 114238003768 in words is "one hundred fourteen billion, two hundred thirty-eight million, three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 59 98 118 196 197 236 392 394 413 472 788 826 1379 1576 1652 2758 2891 3304 5516 5782 9653 11032 11564 11623 19306 23128 23246 25073 38612 46492 50146 77224 81361 92984 100292 162722 175511 200584 325444 351022 569527 650888 702044 1139054 1228577 1404088 1479307 2278108 2457154 2958614 4556216 4914308 4939381 5917228 9828616 9878762 10355149 11834456 19757524 20710298 34575667 39515048 41420596 69151334 72486043 82841192 138302668 144972086 242029669 276605336 289944172 291423479 484059338 579888344 582846958 968118676 1165693916 1936237352 2039964353 2331387832 4079928706 8159857412 14279750471 16319714824 28559500942 57119001884 114238003768