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14817602940 = 223572101139359
BaseRepresentation
bin11011100110011001…
…01010110101111100
31102020122221012221220
431303030222311330
5220321301243230
610450200353340
71033123355400
oct156314526574
942218835856
1014817602940
116314172448
122a56475850
131521b160ba
14a07d05100
155bacd5d10
hex37332ad7c

14817602940 has 288 divisors, whose sum is σ = 49228300800. Its totient is φ = 3319948800.

The previous prime is 14817602927. The next prime is 14817602957. The reversal of 14817602940 is 4920671841.

It is a super-2 number, since 2×148176029402 (a number of 21 digits) contains 22 as substring.

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 = 14817602892 and 14817602901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41274481 + ... + 41274839.

It is an arithmetic number, because the mean of its divisors is an integer number (170931600).

Almost surely, 214817602940 is an apocalyptic number.

14817602940 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 14817602940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24614150400).

14817602940 is an abundant number, since it is smaller than the sum of its proper divisors (34410697860).

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

14817602940 is a wasteful number, since it uses less digits than its factorization.

14817602940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 14817602940 in words is "fourteen billion, eight hundred seventeen million, six hundred two thousand, nine hundred forty".