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14072766540 = 2235733506587
BaseRepresentation
bin11010001101100110…
…10110000001001100
31100022202101121111120
431012303112001030
5212310112012130
610244232120540
71005510353610
oct150663260114
940282347446
1014072766540
115a71789878
122888b36150
1314337089c1
14977019340
15575708910
hex346cd604c

14072766540 has 48 divisors (see below), whose sum is σ = 45032854272. Its totient is φ = 3216632256.

The previous prime is 14072766527. The next prime is 14072766557. The reversal of 14072766540 is 4566727041.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14072766492 and 14072766501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16752874 + ... + 16753713.

It is an arithmetic number, because the mean of its divisors is an integer number (938184464).

Almost surely, 214072766540 is an apocalyptic number.

14072766540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14072766540 is an abundant number, since it is smaller than the sum of its proper divisors (30960087732).

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

14072766540 is a wasteful number, since it uses less digits than its factorization.

14072766540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33506606 (or 33506604 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 14072766540 in words is "fourteen billion, seventy-two million, seven hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 33506587 67013174 100519761 134026348 167532935 201039522 234546109 335065870 402079044 469092218 502598805 670131740 703638327 938184436 1005197610 1172730545 1407276654 2010395220 2345461090 2814553308 3518191635 4690922180 7036383270 14072766540