Search a number
-
+
114675126144 = 273298633141
BaseRepresentation
bin110101011001100101…
…0111000111110000000
3101221222220110222210020
41222303022320332000
53334323313014034
6124403033533440
711166520326555
oct1526312707600
9357886428706
10114675126144
11446a7134627
121a284574280
13aa76c5c037
14579c078a2c
152eb277a249
hex1ab32b8f80

114675126144 has 32 divisors (see below), whose sum is σ = 304605804840. Its totient is φ = 38225041920.

The previous prime is 114675126143. The next prime is 114675126179. The reversal of 114675126144 is 441621576411.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1146751261442 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 114675126096 and 114675126105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114675126143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149316187 + ... + 149316954.

Almost surely, 2114675126144 is an apocalyptic number.

It is an amenable number.

114675126144 is an abundant number, since it is smaller than the sum of its proper divisors (189930678696).

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

114675126144 is an equidigital number, since it uses as much as digits as its factorization.

114675126144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298633158 (or 298633146 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The spelling of 114675126144 in words is "one hundred fourteen billion, six hundred seventy-five million, one hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 298633141 597266282 895899423 1194532564 1791798846 2389065128 3583597692 4778130256 7167195384 9556260512 14334390768 19112521024 28668781536 38225042048 57337563072 114675126144