Search a number
-
+
114042332112 = 2435478834919
BaseRepresentation
bin110101000110101110…
…0111110001111010000
3101220100210202201120020
41222031130332033100
53332024314111422
6124220150543440
711145034554162
oct1521534761720
9356323681506
10114042332112
1144401a18055
121a128667b80
13a9a5b207b7
14573bdd6932
152e76e3095c
hex1a8d73e3d0

114042332112 has 80 divisors (see below), whose sum is σ = 295542274560. Its totient is φ = 37893937536.

The previous prime is 114042332111. The next prime is 114042332123. The reversal of 114042332112 is 211233240411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114042332111) 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, 23181589 + ... + 23186507.

It is an arithmetic number, because the mean of its divisors is an integer number (3694278432).

Almost surely, 2114042332112 is an apocalyptic number.

114042332112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114042332112 is an abundant number, since it is smaller than the sum of its proper divisors (181499942448).

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

114042332112 is a wasteful number, since it uses less digits than its factorization.

114042332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6360 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114042332112 its reverse (211233240411), we get a palindrome (325275572523).

The spelling of 114042332112 in words is "one hundred fourteen billion, forty-two million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 547 883 1094 1641 1766 2188 2649 3282 3532 4376 4919 5298 6564 7064 8752 9838 10596 13128 14128 14757 19676 21192 26256 29514 39352 42384 59028 78704 118056 236112 483001 966002 1449003 1932004 2690693 2898006 3864008 4343477 5381386 5796012 7728016 8072079 8686954 10762772 11592024 13030431 16144158 17373908 21525544 23184048 26060862 32288316 34747816 43051088 52121724 64576632 69495632 104243448 129153264 208486896 2375881919 4751763838 7127645757 9503527676 14255291514 19007055352 28510583028 38014110704 57021166056 114042332112