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14340233100 = 22352419114083
BaseRepresentation
bin11010101101011111…
…01001011110001100
31101000101200022122110
431112233221132030
5213332044424400
610330544544020
71015235653524
oct152657513614
941011608573
1014340233100
116099762416
122942622010
131476c5563b
149a0760684
1558de3ce50
hex356be978c

14340233100 has 72 divisors (see below), whose sum is σ = 41590463040. Its totient is φ = 3814902080.

The previous prime is 14340233093. The next prime is 14340233183. The reversal of 14340233100 is 133204341.

It is a super-2 number, since 2×143402331002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68659 + ... + 182741.

It is an arithmetic number, because the mean of its divisors is an integer number (577645320).

Almost surely, 214340233100 is an apocalyptic number.

14340233100 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 14340233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20795231520).

14340233100 is an abundant number, since it is smaller than the sum of its proper divisors (27250229940).

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

14340233100 is a wasteful number, since it uses less digits than its factorization.

14340233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114519 (or 114512 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 14340233100 its reverse (133204341), we get a palindrome (14473437441).

The spelling of 14340233100 in words is "fourteen billion, three hundred forty million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 419 838 1257 1676 2095 2514 4190 5028 6285 8380 10475 12570 20950 25140 31425 41900 62850 114083 125700 228166 342249 456332 570415 684498 1140830 1368996 1711245 2281660 2852075 3422490 5704150 6844980 8556225 11408300 17112450 34224900 47800777 95601554 143402331 191203108 239003885 286804662 478007770 573609324 717011655 956015540 1195019425 1434023310 2390038850 2868046620 3585058275 4780077700 7170116550 14340233100