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14204202040 = 2357431179751
BaseRepresentation
bin11010011101010001…
…01110110000111000
31100122220201020010001
431032220232300320
5213042233431130
610305245202344
71011664503520
oct151650566070
940586636101
1014204202040
1160299a1256
122904b603b4
131454a079a2
1498a670680
1558201c6ca
hex34ea2ec38

14204202040 has 64 divisors (see below), whose sum is σ = 37374543360. Its totient is φ = 4756752000.

The previous prime is 14204202037. The next prime is 14204202043. The reversal of 14204202040 is 4020240241.

14204202040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14204202037) and next prime (14204202043).

It is a junction number, because it is equal to n+sod(n) for n = 14204201999 and 14204202017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14204202043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577836 + ... + 601915.

It is an arithmetic number, because the mean of its divisors is an integer number (583977240).

Almost surely, 214204202040 is an apocalyptic number.

14204202040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14204202040 is an abundant number, since it is smaller than the sum of its proper divisors (23170341320).

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

14204202040 is a wasteful number, since it uses less digits than its factorization.

14204202040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179812 (or 1179808 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 14204202040 its reverse (4020240241), we get a palindrome (18224442281).

The spelling of 14204202040 in words is "fourteen billion, two hundred four million, two hundred two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 6020 12040 1179751 2359502 4719004 5898755 8258257 9438008 11797510 16516514 23595020 33033028 41291285 47190040 50729293 66066056 82582570 101458586 165165140 202917172 253646465 330330280 355105051 405834344 507292930 710210102 1014585860 1420420204 1775525255 2029171720 2840840408 3551050510 7102101020 14204202040