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14130043400 = 23521130720921
BaseRepresentation
bin11010010100011011…
…10101101000001000
31100110202011120120202
431022031311220020
5212414242342100
610254035511332
71010104246544
oct151215655010
940422146522
1014130043400
115aa104a820
1228a4158548
131442541335
14980888a24
1557a76e7d5
hex34a375a08

14130043400 has 96 divisors (see below), whose sum is σ = 35957386080. Its totient is φ = 5121216000.

The previous prime is 14130043363. The next prime is 14130043409. The reversal of 14130043400 is 434003141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14130043409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664940 + ... + 685860.

It is an arithmetic number, because the mean of its divisors is an integer number (374556105).

Almost surely, 214130043400 is an apocalyptic number.

14130043400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14130043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17978693040).

14130043400 is an abundant number, since it is smaller than the sum of its proper divisors (21827342680).

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

14130043400 is a wasteful number, since it uses less digits than its factorization.

14130043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21255 (or 21246 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14130043400 its reverse (434003141), we get a palindrome (14564046541).

The spelling of 14130043400 in words is "fourteen billion, one hundred thirty million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 307 440 550 614 1100 1228 1535 2200 2456 3070 3377 6140 6754 7675 12280 13508 15350 16885 20921 27016 30700 33770 41842 61400 67540 83684 84425 104605 135080 167368 168850 209210 230131 337700 418420 460262 523025 675400 836840 920524 1046050 1150655 1841048 2092100 2301310 4184200 4602620 5753275 6422747 9205240 11506550 12845494 23013100 25690988 32113735 46026200 51381976 64227470 70650217 128454940 141300434 160568675 256909880 282600868 321137350 353251085 565201736 642274700 706502170 1284549400 1413004340 1766255425 2826008680 3532510850 7065021700 14130043400