Search a number
-
+
114540251430 = 23511853406907
BaseRepresentation
bin110101010101100100…
…0011000100100100110
3101221122111200122110110
41222223020120210212
53334034301021210
6124341415033450
711163262034043
oct1525310304446
9357574618413
10114540251430
1144637a93220
121a24736b886
13aa55027807
1457881aa1ca
152ea59d7420
hex1aab218926

114540251430 has 64 divisors (see below), whose sum is σ = 300239509248. Its totient is φ = 27734712960.

The previous prime is 114540251401. The next prime is 114540251471. The reversal of 114540251430 is 34152045411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78037 + ... + 484943.

It is an arithmetic number, because the mean of its divisors is an integer number (4691242332).

Almost surely, 2114540251430 is an apocalyptic number.

114540251430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114540251430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150119754624).

114540251430 is an abundant number, since it is smaller than the sum of its proper divisors (185699257818).

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

114540251430 is a wasteful number, since it uses less digits than its factorization.

114540251430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407781.

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 114540251430 its reverse (34152045411), we get a palindrome (148692296841).

The spelling of 114540251430 in words is "one hundred fourteen billion, five hundred forty million, two hundred fifty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 853 1706 2559 4265 5118 8530 9383 12795 18766 25590 28149 46915 56298 93830 140745 281490 406907 813814 1220721 2034535 2441442 4069070 4475977 6103605 8951954 12207210 13427931 22379885 26855862 44759770 67139655 134279310 347091671 694183342 1041275013 1735458355 2082550026 3470916710 3818008381 5206375065 7636016762 10412750130 11454025143 19090041905 22908050286 38180083810 57270125715 114540251430