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114146323460 = 22513479340943
BaseRepresentation
bin110101001001110100…
…1101010110000000100
3101220122001110000212122
41222103221222300010
53332232424322320
6124234343505112
711150436512021
oct1522351526004
9356561400778
10114146323460
1144455695314
121a157458198
13a9c1530c40
14574bb46548
152e81122d25
hex1a93a6ac04

114146323460 has 48 divisors (see below), whose sum is σ = 263638803456. Its totient is φ = 41249599872.

The previous prime is 114146323409. The next prime is 114146323463. The reversal of 114146323460 is 64323641411.

114146323460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 114146323460.

It is not an unprimeable number, because it can be changed into a prime (114146323463) 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, 4658252 + ... + 4682691.

It is an arithmetic number, because the mean of its divisors is an integer number (5492475072).

Almost surely, 2114146323460 is an apocalyptic number.

114146323460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114146323460 is an abundant number, since it is smaller than the sum of its proper divisors (149492479996).

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

114146323460 is a wasteful number, since it uses less digits than its factorization.

114146323460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9341012 (or 9341010 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

Adding to 114146323460 its reverse (64323641411), we get a palindrome (178469964871).

The spelling of 114146323460 in words is "one hundred fourteen billion, one hundred forty-six million, three hundred twenty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 940 1222 2444 3055 6110 12220 9340943 18681886 37363772 46704715 93409430 121432259 186818860 242864518 439024321 485729036 607161295 878048642 1214322590 1756097284 2195121605 2428645180 4390243210 5707316173 8780486420 11414632346 22829264692 28536580865 57073161730 114146323460