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440460380664 = 233318379110951
BaseRepresentation
bin1100110100011010111…
…11000000100111111000
31120002220102220200001000
412122031133000213320
524204030324140124
6534202242325000
743552006314333
oct6321537004770
91502812820030
10440460380664
1115a886447227
1271445359760
13326c5bb34a5
141746597161a
15b6cda1e6c9
hex668d7c09f8

440460380664 has 64 divisors (see below), whose sum is σ = 1223578656000. Its totient is φ = 146810815200.

The previous prime is 440460380651. The next prime is 440460380677. The reversal of 440460380664 is 466083064044.

440460380664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (440460380651) and next prime (440460380677).

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, 3914389 + ... + 4025339.

It is an arithmetic number, because the mean of its divisors is an integer number (19118416500).

Almost surely, 2440460380664 is an apocalyptic number.

It is an amenable number.

440460380664 is an abundant number, since it is smaller than the sum of its proper divisors (783118275336).

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

440460380664 is a wasteful number, since it uses less digits than its factorization.

440460380664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129345 (or 129335 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 440460380664 in words is "four hundred forty billion, four hundred sixty million, three hundred eighty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 18379 36758 55137 73516 110274 110951 147032 165411 220548 221902 330822 332853 441096 443804 496233 661644 665706 887608 992466 998559 1323288 1331412 1984932 1997118 2662824 2995677 3969864 3994236 5991354 7988472 11982708 23965416 2039168429 4078336858 6117505287 8156673716 12235010574 16313347432 18352515861 24470021148 36705031722 48940042296 55057547583 73410063444 110115095166 146820126888 220230190332 440460380664