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114860589312 = 2837119317909
BaseRepresentation
bin110101011111000111…
…0011000000100000000
3101222110211110111102110
41222332032120010000
53340213302324222
6124433301015320
711204231620530
oct1527616300400
9358424414373
10114860589312
1144791898877
121a3166b4540
13aaa64c6761
1457b89554c0
152ec3bb230c
hex1abe398100

114860589312 has 144 divisors (see below), whose sum is σ = 349679998080. Its totient is φ = 32787972096.

The previous prime is 114860589293. The next prime is 114860589313. The reversal of 114860589312 is 213985068411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (114860589313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6404614 + ... + 6422522.

It is an arithmetic number, because the mean of its divisors is an integer number (2428333320).

Almost surely, 2114860589312 is an apocalyptic number.

114860589312 is a gapful number since it is divisible by the number (12) 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 114860589312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174839999040).

114860589312 is an abundant number, since it is smaller than the sum of its proper divisors (234819408768).

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

114860589312 is a wasteful number, since it uses less digits than its factorization.

114860589312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19128 (or 19114 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 114860589312 in words is "one hundred fourteen billion, eight hundred sixty million, five hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1193 1344 1792 2386 2688 3579 4772 5376 7158 8351 9544 14316 16702 17909 19088 25053 28632 33404 35818 38176 50106 53727 57264 66808 71636 76352 100212 107454 114528 125363 133616 143272 152704 200424 214908 229056 250726 267232 286544 305408 376089 400848 429816 458112 501452 534464 573088 752178 801696 859632 916224 1002904 1068928 1146176 1504356 1603392 1719264 2005808 2137856 2292352 3008712 3206784 3438528 4011616 4584704 6017424 6413568 6877056 8023232 12034848 13754112 16046464 21365437 24069696 32092928 42730874 48139392 64096311 85461748 96278784 128192622 149558059 170923496 256385244 299116118 341846992 448674177 512770488 598232236 683693984 897348354 1025540976 1196464472 1367387968 1794696708 2051081952 2392928944 2734775936 3589393416 4102163904 4785857888 5469551872 7178786832 8204327808 9571715776 14357573664 16408655616 19143431552 28715147328 38286863104 57430294656 114860589312