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114251412540 = 223535912234337
BaseRepresentation
bin110101001100111101…
…0100011010000111100
3101220220101012002222210
41222121322203100330
53332441330200130
6124253020140420
711153153661126
oct1523172432074
9356811162883
10114251412540
11444a9a422a1
121a186697710
13aa0a236c25
14575baa0216
152e8a4805b0
hex1a99ea343c

114251412540 has 96 divisors (see below), whose sum is σ = 321131381760. Its totient is φ = 30350334976.

The previous prime is 114251412479. The next prime is 114251412581. The reversal of 114251412540 is 45214152411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114251412498 and 114251412507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26341252 + ... + 26345588.

It is an arithmetic number, because the mean of its divisors is an integer number (3345118560).

Almost surely, 2114251412540 is an apocalyptic number.

114251412540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114251412540 is an abundant number, since it is smaller than the sum of its proper divisors (206879969220).

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

114251412540 is a wasteful number, since it uses less digits than its factorization.

114251412540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5931 (or 5929 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 114251412540 its reverse (45214152411), we get a palindrome (159465564951).

The spelling of 114251412540 in words is "one hundred fourteen billion, two hundred fifty-one million, four hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 359 718 1077 1223 1436 1795 2154 2446 3590 3669 4308 4337 4892 5385 6115 7180 7338 8674 10770 12230 13011 14676 17348 18345 21540 21685 24460 26022 36690 43370 52044 65055 73380 86740 130110 260220 439057 878114 1317171 1556983 1756228 2195285 2634342 3113966 4390570 4670949 5268684 5304151 6227932 6585855 7784915 8781140 9341898 10608302 13171710 15569830 15912453 18683796 21216604 23354745 26343420 26520755 31139660 31824906 46709490 53041510 63649812 79562265 93418980 106083020 159124530 318249060 1904190209 3808380418 5712570627 7616760836 9520951045 11425141254 19041902090 22850282508 28562853135 38083804180 57125706270 114251412540