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3113141400 = 2332521729523
BaseRepresentation
bin1011100110001110…
…1100010010011000
322000221220222011100
42321203230102120
522333431011100
61232525231400
7140101156665
oct27143542230
98027828140
103113141400
111358318236
1272a702560
133a7c79705
14217658a6c
15133492400
hexb98ec498

3113141400 has 72 divisors (see below), whose sum is σ = 10454972580. Its totient is φ = 830170560.

The previous prime is 3113141389. The next prime is 3113141407. The reversal of 3113141400 is 41413113.

3113141400 is a `hidden beast` number, since 311 + 314 + 1 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113141407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 862962 + ... + 866561.

Almost surely, 23113141400 is an apocalyptic number.

3113141400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3113141400 is an abundant number, since it is smaller than the sum of its proper divisors (7341831180).

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

3113141400 is a wasteful number, since it uses less digits than its factorization.

3113141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729545 (or 1729533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3113141400 is about 55795.5320791907. The cubic root of 3113141400 is about 1460.1572045650.

Adding to 3113141400 its reverse (41413113), we get a palindrome (3154554513).

The spelling of 3113141400 in words is "three billion, one hundred thirteen million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 1729523 3459046 5188569 6918092 8647615 10377138 13836184 15565707 17295230 20754276 25942845 31131414 34590460 41508552 43238075 51885690 62262828 69180920 77828535 86476150 103771380 124525656 129714225 155657070 172952300 207542760 259428450 311314140 345904600 389142675 518856900 622628280 778285350 1037713800 1556570700 3113141400