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14541561540 = 22325117344223
BaseRepresentation
bin11011000101011111…
…01001111011000100
31101112102111212100100
431202233221323010
5214240114432130
610402540044100
71023232143102
oct154257517304
941472455310
1014541561540
116192372460
122999b33630
1314a98864ac
149bd3aac72
155a195ac60
hex362be9ec4

14541561540 has 72 divisors (see below), whose sum is σ = 48119355648. Its totient is φ = 3525226560.

The previous prime is 14541561523. The next prime is 14541561547. The reversal of 14541561540 is 4516514541.

14541561540 is a `hidden beast` number, since 1 + 4 + 5 + 41 + 561 + 54 + 0 = 666.

It is a super-2 number, since 2×145415615402 (a number of 21 digits) contains 22 as substring.

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 = 14541561495 and 14541561504.

It is not an unprimeable number, because it can be changed into a prime (14541561547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3670132 + ... + 3674091.

It is an arithmetic number, because the mean of its divisors is an integer number (668324384).

Almost surely, 214541561540 is an apocalyptic number.

14541561540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14541561540 is an abundant number, since it is smaller than the sum of its proper divisors (33577794108).

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

14541561540 is a wasteful number, since it uses less digits than its factorization.

14541561540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7344249 (or 7344244 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

It can be divided in two parts, 14541 and 561540, that added together give a square (576081 = 7592).

The spelling of 14541561540 in words is "fourteen billion, five hundred forty-one million, five hundred sixty-one thousand, five 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 7344223 14688446 22032669 29376892 36721115 44065338 66098007 73442230 80786453 88130676 110163345 132196014 146884460 161572906 220326690 242359359 264392028 323145812 330490035 403932265 440653380 484718718 660980070 727078077 807864530 969437436 1211796795 1321960140 1454156154 1615729060 2423593590 2908312308 3635390385 4847187180 7270780770 14541561540