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14451504540 = 223511473731249
BaseRepresentation
bin11010111010110000…
…00111010110011100
31101022011001111100220
431131120013112130
5214044041121130
610350001521340
71021056522204
oct153530072634
941264044326
1014451504540
116146552290
122973943250
131494014625
149b1447404
15598abc410
hex35d60759c

14451504540 has 192 divisors, whose sum is σ = 45239040000. Its totient is φ = 3416924160.

The previous prime is 14451504539. The next prime is 14451504553. The reversal of 14451504540 is 4540515441.

It is a super-2 number, since 2×144515045402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11569836 + ... + 11571084.

It is an arithmetic number, because the mean of its divisors is an integer number (235620000).

Almost surely, 214451504540 is an apocalyptic number.

14451504540 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 14451504540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22619520000).

14451504540 is an abundant number, since it is smaller than the sum of its proper divisors (30787535460).

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

14451504540 is a wasteful number, since it uses less digits than its factorization.

14451504540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 14451504540 in words is "fourteen billion, four hundred fifty-one million, five hundred four thousand, five hundred forty".