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114320464140 = 22353735108153
BaseRepresentation
bin110101001111000000…
…1111101100100001100
3101221002012010021222110
41222132001331210030
53333112014323030
6124303524144020
711154652624551
oct1523601754414
9357065107873
10114320464140
1144534a15833
121a1a5838010
13aa1b632b6c
145766d16a28
152e915701b0
hex1a9e07d90c

114320464140 has 48 divisors (see below), whose sum is σ = 320955532128. Its totient is φ = 30403720704.

The previous prime is 114320464129. The next prime is 114320464163. The reversal of 114320464140 is 41464023411.

114320464140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 114320464098 and 114320464107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2531697 + ... + 2576456.

It is an arithmetic number, because the mean of its divisors is an integer number (6686573586).

Almost surely, 2114320464140 is an apocalyptic number.

114320464140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114320464140 is an abundant number, since it is smaller than the sum of its proper divisors (206635067988).

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

114320464140 is a wasteful number, since it uses less digits than its factorization.

114320464140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108538 (or 5108536 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 114320464140 its reverse (41464023411), we get a palindrome (155784487551).

The spelling of 114320464140 in words is "one hundred fourteen billion, three hundred twenty million, four hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 373 746 1119 1492 1865 2238 3730 4476 5595 7460 11190 22380 5108153 10216306 15324459 20432612 25540765 30648918 51081530 61297836 76622295 102163060 153244590 306489180 1905341069 3810682138 5716023207 7621364276 9526705345 11432046414 19053410690 22864092828 28580116035 38106821380 57160232070 114320464140