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114464327240 = 23517238388177
BaseRepresentation
bin110101010011010011…
…0110000011001001000
3101221110012211022001102
41222212212300121020
53333410331432430
6124330103440532
711161350504524
oct1524646603110
9357405738042
10114464327240
11445a914625a
121a225a56148
13aa42393663
14577c084d84
152e9dedb345
hex1aa69b0648

114464327240 has 128 divisors (see below), whose sum is σ = 287982293760. Its totient is φ = 40721793024.

The previous prime is 114464327221. The next prime is 114464327251. The reversal of 114464327240 is 42723464411.

It is a junction number, because it is equal to n+sod(n) for n = 114464327194 and 114464327203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1254032 + ... + 1342208.

It is an arithmetic number, because the mean of its divisors is an integer number (2249861670).

Almost surely, 2114464327240 is an apocalyptic number.

114464327240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114464327240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143991146880).

114464327240 is an abundant number, since it is smaller than the sum of its proper divisors (173517966520).

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

114464327240 is a wasteful number, since it uses less digits than its factorization.

114464327240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88311 (or 88307 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 114464327240 in words is "one hundred fourteen billion, four hundred sixty-four million, three hundred twenty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 83 85 92 115 136 166 170 184 230 332 340 391 415 460 664 680 782 830 920 1411 1564 1660 1909 1955 2822 3128 3320 3818 3910 5644 7055 7636 7820 9545 11288 14110 15272 15640 19090 28220 32453 38180 56440 64906 76360 88177 129812 162265 176354 259624 324530 352708 440885 649060 705416 881770 1298120 1499009 1763540 2028071 2998018 3527080 4056142 5996036 7318691 7495045 8112284 10140355 11992072 14637382 14990090 16224568 20280710 29274764 29980180 34477207 36593455 40561420 58549528 59960360 68954414 73186910 81122840 124417747 137908828 146373820 168329893 172386035 248835494 275817656 292747640 336659786 344772070 497670988 622088735 673319572 689544140 841649465 995341976 1244177470 1346639144 1379088280 1683298930 2488354940 2861608181 3366597860 4976709880 5723216362 6733195720 11446432724 14308040905 22892865448 28616081810 57232163620 114464327240