Search a number
-
+
114536147072 = 2717219915559
BaseRepresentation
bin110101010101011100…
…0101110100010000000
3101221122012222010100012
41222222320232202000
53334032223201242
6124341151044052
711163212121014
oct1525270564200
9357565863305
10114536147072
114463573a596
121a245b10628
13aa5421b5b9
14578781c544
152ea5476282
hex1aaae2e880

114536147072 has 96 divisors (see below), whose sum is σ = 243622920000. Its totient is φ = 53625065472.

The previous prime is 114536147069. The next prime is 114536147101. The reversal of 114536147072 is 270741635411.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7353629 + ... + 7369187.

It is an arithmetic number, because the mean of its divisors is an integer number (2537738750).

Almost surely, 2114536147072 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 114536147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121811460000).

114536147072 is an abundant number, since it is smaller than the sum of its proper divisors (129086772928).

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

114536147072 is a wasteful number, since it uses less digits than its factorization.

114536147072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15806 (or 15777 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 114536147072 in words is "one hundred fourteen billion, five hundred thirty-six million, one hundred forty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 199 272 289 398 544 578 796 1088 1156 1592 2176 2312 3184 3383 4624 6368 6766 9248 12736 13532 15559 18496 25472 27064 31118 36992 54128 57511 62236 108256 115022 124472 216512 230044 248944 264503 433024 460088 497888 529006 920176 995776 1058012 1840352 1991552 2116024 3096241 3680704 4232048 4496551 6192482 7361408 8464096 8993102 12384964 16928192 17986204 24769928 33856384 35972408 49539856 52636097 71944816 99079712 105272194 143889632 198159424 210544388 287779264 396318848 421088776 575558528 842177552 894813649 1684355104 1789627298 3368710208 3579254596 6737420416 7158509192 14317018384 28634036768 57268073536 114536147072