Search a number
-
+
114212234112 = 273340787299
BaseRepresentation
bin110101001011110010…
…1000110001110000000
3101220210122110122021220
41222113211012032000
53332401312442422
6124245100315040
711152166654244
oct1522745061600
9356718418256
10114212234112
1144489912a29
121a175542a80
13aa0209a322
1457567c2424
152e86ce1e5c
hex1a97946380

114212234112 has 64 divisors (see below), whose sum is σ = 303468768000. Its totient is φ = 38059134464.

The previous prime is 114212234083. The next prime is 114212234173. The reversal of 114212234112 is 211432212411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1264639 + ... + 1351937.

It is an arithmetic number, because the mean of its divisors is an integer number (4741699500).

Almost surely, 2114212234112 is an apocalyptic number.

114212234112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114212234112 is an abundant number, since it is smaller than the sum of its proper divisors (189256533888).

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

114212234112 is an equidigital number, since it uses as much as digits as its factorization.

114212234112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90723 (or 90711 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 114212234112 its reverse (211432212411), we get a palindrome (325644446523).

The spelling of 114212234112 in words is "one hundred fourteen billion, two hundred twelve million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 3407 6814 10221 13628 20442 27256 40884 54512 81768 87299 109024 163536 174598 218048 261897 327072 349196 436096 523794 654144 698392 1047588 1308288 1396784 2095176 2793568 4190352 5587136 8380704 11174272 16761408 33522816 297427693 594855386 892283079 1189710772 1784566158 2379421544 3569132316 4758843088 7138264632 9517686176 14276529264 19035372352 28553058528 38070744704 57106117056 114212234112