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2312145440 = 255112119429
BaseRepresentation
bin1000100111010000…
…1000101000100000
312222010201011021022
42021310020220200
514213402123230
61021233145012
7111203624543
oct21164105040
95863634238
102312145440
11a87167100
125463bb168
132ab0383c7
1417d11085a
15d7ec01e5
hex89d08a20

2312145440 has 72 divisors (see below), whose sum is σ = 6004223820. Its totient is φ = 840773120.

The previous prime is 2312145439. The next prime is 2312145457. The reversal of 2312145440 is 445412132.

It can be written as a sum of positive squares in 2 ways, for example, as 2212385296 + 99760144 = 47036^2 + 9988^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40355 + ... + 79074.

Almost surely, 22312145440 is an apocalyptic number.

2312145440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312145440 is an abundant number, since it is smaller than the sum of its proper divisors (3692078380).

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

2312145440 is a wasteful number, since it uses less digits than its factorization.

2312145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119466 (or 119447 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2312145440 is about 48084.7734735228. The cubic root of 2312145440 is about 1322.3255301853.

Adding to 2312145440 its reverse (445412132), we get a palindrome (2757557572).

The spelling of 2312145440 in words is "two billion, three hundred twelve million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 19360 119429 238858 477716 597145 955432 1194290 1313719 1910864 2388580 2627438 3821728 4777160 5254876 6568595 9554320 10509752 13137190 14450909 19108640 21019504 26274380 28901818 42039008 52548760 57803636 72254545 105097520 115607272 144509090 210195040 231214544 289018180 462429088 578036360 1156072720 2312145440