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114489857448 = 23323123314999
BaseRepresentation
bin110101010100000100…
…0001001010110101000
3101221111222212100220200
41222220020021112220
53333433400414243
6124332414552200
711162110505601
oct1525010112650
9357458770820
10114489857448
11446115a34aa
121a232508660
13aa47761ca5
14578160cda8
152ea1380ad3
hex1aa82095a8

114489857448 has 144 divisors (see below), whose sum is σ = 321434100000. Its totient is φ = 36813268800.

The previous prime is 114489857437. The next prime is 114489857453. The reversal of 114489857448 is 844758984411.

114489857448 is a `hidden beast` number, since 1 + 1 + 4 + 489 + 85 + 74 + 4 + 8 = 666.

It is a super-2 number, since 2×1144898574482 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22900053 + ... + 22905051.

It is an arithmetic number, because the mean of its divisors is an integer number (2232181250).

Almost surely, 2114489857448 is an apocalyptic number.

114489857448 is a gapful number since it is divisible by the number (18) 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 114489857448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160717050000).

114489857448 is an abundant number, since it is smaller than the sum of its proper divisors (206944242552).

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

114489857448 is a wasteful number, since it uses less digits than its factorization.

114489857448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5404 (or 5366 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 63.

The spelling of 114489857448 in words is "one hundred fourteen billion, four hundred eighty-nine million, eight hundred fifty-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 331 372 558 662 744 961 993 1116 1324 1922 1986 2232 2648 2883 2979 3844 3972 4999 5766 5958 7688 7944 8649 9998 10261 11532 11916 14997 17298 19996 20522 23064 23832 29994 30783 34596 39992 41044 44991 59988 61566 69192 82088 89982 92349 119976 123132 154969 179964 184698 246264 309938 318091 359928 369396 464907 619876 636182 738792 929814 954273 1239752 1272364 1394721 1654669 1859628 1908546 2544728 2789442 2862819 3309338 3719256 3817092 4804039 4964007 5578884 5725638 6618676 7634184 9608078 9928014 11157768 11451276 13237352 14412117 14892021 19216156 19856028 22902552 28824234 29784042 38432312 39712056 43236351 51294739 57648468 59568084 86472702 102589478 115296936 119136168 153884217 172945404 205178956 307768434 345890808 410357912 461652651 615536868 923305302 1231073736 1590136909 1846610604 3180273818 3693221208 4770410727 6360547636 9540821454 12721095272 14311232181 19081642908 28622464362 38163285816 57244928724 114489857448