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440564355453012 = 22376481809259953
BaseRepresentation
bin110010000101100001110000…
…1111010000101000001010100
32010202220112121102112120202120
41210023003201322011001110
5430221201244443444022
64201000245411135540
7161540503301135130
oct14413034172050124
92122815542476676
10440564355453012
1111841732618956a
12414b43a72a45b0
1315baa06ab5709b
147ab160003a3c0
1535e015376ad5c
hex190b0e1e85054

440564355453012 has 48 divisors (see below), whose sum is σ = 1175019556889472. Its totient is φ = 125856107735040.

The previous prime is 440564355452987. The next prime is 440564355453029. The reversal of 440564355453012 is 210354553465044.

It is a super-3 number, since 3×4405643554530123 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 404085573 + ... + 405174380.

It is an arithmetic number, because the mean of its divisors is an integer number (24479574101864).

Almost surely, 2440564355453012 is an apocalyptic number.

440564355453012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

440564355453012 is an abundant number, since it is smaller than the sum of its proper divisors (734455201436460).

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

440564355453012 is a wasteful number, since it uses less digits than its factorization.

440564355453012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809266448 (or 809266446 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 51.

The spelling of 440564355453012 in words is "four hundred forty trillion, five hundred sixty-four billion, three hundred fifty-five million, four hundred fifty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 6481 12962 19443 25924 38886 45367 77772 90734 136101 181468 272202 544404 809259953 1618519906 2427779859 3237039812 4855559718 5664819671 9711119436 11329639342 16994459013 22659278684 33988918026 67977836052 5244813755393 10489627510786 15734441266179 20979255021572 31468882532358 36713696287751 62937765064716 73427392575502 110141088863253 146854785151004 220282177726506 440564355453012