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16301034240 = 283510614001
BaseRepresentation
bin11110010111001111…
…00000101100000000
31120002001021100010220
433023213200230000
5231341031043430
611253311423040
71114645335111
oct171347405400
946061240126
1016301034240
116a05566327
1231ab224a80
1316ca2569ba
14b08d34208
1565615b110
hex3cb9e0b00

16301034240 has 144 divisors (see below), whose sum is σ = 52123520736. Its totient is φ = 4341760000.

The previous prime is 16301034193. The next prime is 16301034251. The reversal of 16301034240 is 4243010361.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16301034240.

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, 4072240 + ... + 4076240.

It is an arithmetic number, because the mean of its divisors is an integer number (361968894).

Almost surely, 216301034240 is an apocalyptic number.

16301034240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16301034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26061760368).

16301034240 is an abundant number, since it is smaller than the sum of its proper divisors (35822486496).

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

16301034240 is a wasteful number, since it uses less digits than its factorization.

16301034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 16301034240 in words is "sixteen billion, three hundred one million, thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1061 1280 1920 2122 3183 3840 4001 4244 5305 6366 8002 8488 10610 12003 12732 15915 16004 16976 20005 21220 24006 25464 31830 32008 33952 40010 42440 48012 50928 60015 63660 64016 67904 80020 84880 96024 101856 120030 127320 128032 135808 160040 169760 192048 203712 240060 254640 256064 271616 320080 339520 384096 407424 480120 509280 512128 640160 679040 768192 814848 960240 1018560 1024256 1280320 1358080 1536384 1920480 2037120 2560640 3072768 3840960 4074240 4245061 5121280 7681920 8490122 12735183 15363840 16980244 21225305 25470366 33960488 42450610 50940732 63675915 67920976 84901220 101881464 127351830 135841952 169802440 203762928 254703660 271683904 339604880 407525856 509407320 543367808 679209760 815051712 1018814640 1086735616 1358419520 1630103424 2037629280 2716839040 3260206848 4075258560 5433678080 8150517120 16301034240