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442052324160 = 2635795828749
BaseRepresentation
bin1100110111011000101…
…11110010101101000000
31120021000101102202222020
412123230113302231000
524220310343333120
6535024231241440
743636316521116
oct6335427625500
91507011382866
10442052324160
11160523015a07
127180a519280
13328ba9581a5
1417577169ab6
15b77367b640
hex66ec5f2b40

442052324160 has 112 divisors (see below), whose sum is σ = 1421282400000. Its totient is φ = 116388440064.

The previous prime is 442052324149. The next prime is 442052324167. The reversal of 442052324160 is 61423250244.

442052324160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442052324167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2838535 + ... + 2990214.

Almost surely, 2442052324160 is an apocalyptic number.

442052324160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442052324160 is an abundant number, since it is smaller than the sum of its proper divisors (979230075840).

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

442052324160 is a wasteful number, since it uses less digits than its factorization.

442052324160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5828848 (or 5828838 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 442052324160 in words is "four hundred forty-two billion, fifty-two million, three hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 158 160 192 237 240 316 320 395 474 480 632 790 948 960 1185 1264 1580 1896 2370 2528 3160 3792 4740 5056 6320 7584 9480 12640 15168 18960 25280 37920 75840 5828749 11657498 17486247 23314996 29143745 34972494 46629992 58287490 69944988 87431235 93259984 116574980 139889976 174862470 186519968 233149960 279779952 349724940 373039936 460471171 466299920 559559904 699449880 920942342 932599840 1119119808 1381413513 1398899760 1841884684 1865199680 2302355855 2762827026 2797799520 3683769368 4604711710 5525654052 5595599040 6907067565 7367538736 9209423420 11051308104 13814135130 14735077472 18418846840 22102616208 27628270260 29470154944 36837693680 44205232416 55256540520 73675387360 88410464832 110513081040 147350774720 221026162080 442052324160