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241389429000 = 23353191421273
BaseRepresentation
bin1110000011001111101…
…1100110000100001000
3212002001211210112021020
43200303323212010020
512423331143212000
6302520501112440
723303566202136
oct3406373460410
9762054715236
10241389429000
1193411048875
123a9489b8720
13199bc1bb775
14b97d00c756
15642be13ba0
hex3833ee6108

241389429000 has 128 divisors (see below), whose sum is σ = 757079930880. Its totient is φ = 64033344000.

The previous prime is 241389428939. The next prime is 241389429019. The reversal of 241389429000 is 924983142.

241389429000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362364 + ... + 783636.

It is an arithmetic number, because the mean of its divisors is an integer number (5914686960).

Almost surely, 2241389429000 is an apocalyptic number.

241389429000 is a gapful number since it is divisible by the number (20) 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 241389429000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378539965440).

241389429000 is an abundant number, since it is smaller than the sum of its proper divisors (515690501880).

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

241389429000 is a wasteful number, since it uses less digits than its factorization.

241389429000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421488 (or 421474 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 241389429000 in words is "two hundred forty-one billion, three hundred eighty-nine million, four hundred twenty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 191 200 250 300 375 382 500 573 600 750 764 955 1000 1146 1500 1528 1910 2292 2865 3000 3820 4584 4775 5730 7640 9550 11460 14325 19100 22920 23875 28650 38200 47750 57300 71625 95500 114600 143250 191000 286500 421273 573000 842546 1263819 1685092 2106365 2527638 3370184 4212730 5055276 6319095 8425460 10110552 10531825 12638190 16850920 21063650 25276380 31595475 42127300 50552760 52659125 63190950 80463143 84254600 105318250 126381900 157977375 160926286 210636500 241389429 252763800 315954750 321852572 402315715 421273000 482778858 631909500 643705144 804631430 965557716 1206947145 1263819000 1609262860 1931115432 2011578575 2413894290 3218525720 4023157150 4827788580 6034735725 8046314300 9655577160 10057892875 12069471450 16092628600 20115785750 24138942900 30173678625 40231571500 48277885800 60347357250 80463143000 120694714500 241389429000