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114610040360 = 235171097153641
BaseRepresentation
bin110101010111101001…
…0100110111000101000
3101221211101000021212122
41222233102212320220
53334210132242420
6124352350530412
711165100161234
oct1525722467050
9357741007778
10114610040360
114467341a722
121a266806a08
13aa6662123a
1457935755c4
152eabbc0725
hex1aaf4a6e28

114610040360 has 64 divisors (see below), whose sum is σ = 273292243920. Its totient is φ = 43107696640.

The previous prime is 114610040351. The next prime is 114610040371. The reversal of 114610040360 is 63040016411.

It can be written as a sum of positive squares in 8 ways, for example, as 68693264836 + 45916775524 = 262094^2 + 214282^2 .

It is a super-2 number, since 2×1146100403602 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 669140 + ... + 822780.

Almost surely, 2114610040360 is an apocalyptic number.

114610040360 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 114610040360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136646121960).

114610040360 is an abundant number, since it is smaller than the sum of its proper divisors (158682203560).

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

114610040360 is a wasteful number, since it uses less digits than its factorization.

114610040360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154766 (or 154762 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 114610040360 its reverse (63040016411), we get a palindrome (177650056771).

The spelling of 114610040360 in words is "one hundred fourteen billion, six hundred ten million, forty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1097 2194 4388 5485 8776 10970 18649 21940 37298 43880 74596 93245 149192 153641 186490 307282 372980 614564 745960 768205 1229128 1536410 2611897 3072820 5223794 6145640 10447588 13059485 20895176 26118970 52237940 104475880 168544177 337088354 674176708 842720885 1348353416 1685441770 2865251009 3370883540 5730502018 6741767080 11461004036 14326255045 22922008072 28652510090 57305020180 114610040360