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14461104540 = 22351723139883
BaseRepresentation
bin11010111011111001…
…01111000110011100
31101022211010020002110
431131330233012130
5214104020321130
610350543354020
71021234234431
oct153574570634
941284106073
1014461104540
116150a09973
122976bb2910
131495cc60bc
149b2825b88
15599866ab0
hex35df2f19c

14461104540 has 48 divisors (see below), whose sum is σ = 40514882688. Its totient is φ = 3854028864.

The previous prime is 14461104529. The next prime is 14461104563. The reversal of 14461104540 is 4540116441.

It is a super-2 number, since 2×144611045402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14461104498 and 14461104507.

It is a congruent number.

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, 33439 + ... + 173321.

It is an arithmetic number, because the mean of its divisors is an integer number (844060056).

Almost surely, 214461104540 is an apocalyptic number.

14461104540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14461104540 is an abundant number, since it is smaller than the sum of its proper divisors (26053778148).

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

14461104540 is a wasteful number, since it uses less digits than its factorization.

14461104540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141618 (or 141616 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 14461104540 in words is "fourteen billion, four hundred sixty-one million, one hundred four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1723 3446 5169 6892 8615 10338 17230 20676 25845 34460 51690 103380 139883 279766 419649 559532 699415 839298 1398830 1678596 2098245 2797660 4196490 8392980 241018409 482036818 723055227 964073636 1205092045 1446110454 2410184090 2892220908 3615276135 4820368180 7230552270 14461104540