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14007431700 = 223252143310861
BaseRepresentation
bin11010000101110100…
…00111001000010100
31100011012110020221200
431002322013020110
5212141400303300
610233535512500
71004055130203
oct150272071024
940135406850
1014007431700
115a38914839
12286b088730
131423011732
1496c48d23a
1556eb00200
hex342e87214

14007431700 has 108 divisors (see below), whose sum is σ = 43940200668. Its totient is φ = 3732364800.

The previous prime is 14007431689. The next prime is 14007431701. The reversal of 14007431700 is 713470041.

It can be written as a sum of positive squares in 6 ways, for example, as 3549456 + 14003882244 = 1884^2 + 118338^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14007431701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1284270 + ... + 1295130.

Almost surely, 214007431700 is an apocalyptic number.

14007431700 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 14007431700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21970100334).

14007431700 is an abundant number, since it is smaller than the sum of its proper divisors (29932768968).

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

14007431700 is a wasteful number, since it uses less digits than its factorization.

14007431700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12314 (or 12304 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 14007431700 in words is "fourteen billion, seven million, four hundred thirty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1433 2866 4299 5732 7165 8598 10861 12897 14330 17196 21495 21722 25794 28660 32583 35825 42990 43444 51588 54305 64485 65166 71650 85980 97749 107475 108610 128970 130332 143300 162915 195498 214950 217220 257940 271525 322425 325830 390996 429900 488745 543050 644850 651660 814575 977490 1086100 1289700 1629150 1954980 2443725 3258300 4887450 9774900 15563813 31127626 46691439 62255252 77819065 93382878 140074317 155638130 186765756 233457195 280148634 311276260 389095325 466914390 560297268 700371585 778190650 933828780 1167285975 1400743170 1556381300 2334571950 2801486340 3501857925 4669143900 7003715850 14007431700