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14820682140 = 22325117485193
BaseRepresentation
bin11011100110110000…
…11010100110011100
31102020212201122211100
431303120122212130
5220323043312030
610450350353100
71033161501555
oct156330324634
942225648740
1014820682140
116315985940
122a574bb790
131522653804
14a084a732c
155bb1e3360
hex37361a99c

14820682140 has 72 divisors (see below), whose sum is σ = 49042991088. Its totient is φ = 3592892160.

The previous prime is 14820682103. The next prime is 14820682141. The reversal of 14820682140 is 4128602841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14820682095 and 14820682104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14820682141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3740617 + ... + 3744576.

It is an arithmetic number, because the mean of its divisors is an integer number (681152654).

Almost surely, 214820682140 is an apocalyptic number.

14820682140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14820682140 is an abundant number, since it is smaller than the sum of its proper divisors (34222308948).

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

14820682140 is a wasteful number, since it uses less digits than its factorization.

14820682140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7485219 (or 7485214 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 14820682140 in words is "fourteen billion, eight hundred twenty million, six hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 7485193 14970386 22455579 29940772 37425965 44911158 67366737 74851930 82337123 89822316 112277895 134733474 149703860 164674246 224555790 247011369 269466948 329348492 336833685 411685615 449111580 494022738 673667370 741034107 823371230 988045476 1235056845 1347334740 1482068214 1646742460 2470113690 2964136428 3705170535 4940227380 7410341070 14820682140