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14013020320 = 255132518233
BaseRepresentation
bin11010000110011110…
…11011100010100000
31100011120222012002121
431003033123202200
5212144313122240
610234255354024
71004153464435
oct150317334240
940146865077
1014013020320
115a40a91632
122870b22914
13142421a400
1496d105b8c
1557035604a
hex3433db8a0

14013020320 has 72 divisors (see below), whose sum is σ = 35848318716. Its totient is φ = 5174028288.

The previous prime is 14013020311. The next prime is 14013020341. The reversal of 14013020320 is 2302031041.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1089936 + 14011930384 = 1044^2 + 118372^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 14013020294 and 14013020303.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232077 + ... + 286156.

Almost surely, 214013020320 is an apocalyptic number.

14013020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14013020320 is an abundant number, since it is smaller than the sum of its proper divisors (21835298396).

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

14013020320 is a wasteful number, since it uses less digits than its factorization.

14013020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518274 (or 518253 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 14013020320 its reverse (2302031041), we get a palindrome (16315051361).

The spelling of 14013020320 in words is "fourteen billion, thirteen million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 845 1040 1352 1690 2080 2704 3380 5408 6760 13520 27040 518233 1036466 2072932 2591165 4145864 5182330 6737029 8291728 10364660 13474058 16583456 20729320 26948116 33685145 41458640 53896232 67370290 82917280 87581377 107792464 134740580 175162754 215584928 269481160 350325508 437906885 538962320 700651016 875813770 1077924640 1401302032 1751627540 2802604064 3503255080 7006510160 14013020320