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2314051440 = 24359641881
BaseRepresentation
bin1000100111101101…
…1001111101110000
312222021021222210220
42021323121331300
514214344121230
61021342053040
7111226053441
oct21173317560
95867258726
102314051440
11a88249108
12546b7a180
132ab554b0c
1417d4892c8
15d8249d10
hex89ed9f70

2314051440 has 40 divisors (see below), whose sum is σ = 7173560208. Its totient is φ = 617080320.

The previous prime is 2314051429. The next prime is 2314051469. The reversal of 2314051440 is 441504132.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2314051440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4820701 + ... + 4821180.

Almost surely, 22314051440 is an apocalyptic number.

2314051440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314051440 is an abundant number, since it is smaller than the sum of its proper divisors (4859508768).

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

2314051440 is a wasteful number, since it uses less digits than its factorization.

2314051440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9641897 (or 9641891 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2314051440 is about 48104.5885545236. The cubic root of 2314051440 is about 1322.6887801477.

Adding to 2314051440 its reverse (441504132), we get a palindrome (2755555572).

The spelling of 2314051440 in words is "two billion, three hundred fourteen million, fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 9641881 19283762 28925643 38567524 48209405 57851286 77135048 96418810 115702572 144628215 154270096 192837620 231405144 289256430 385675240 462810288 578512860 771350480 1157025720 2314051440