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241055442052000 = 2553265922664107
BaseRepresentation
bin110110110011110100010111…
…111111101010001110100000
31011121111200020012222112220021
4312303310113333222032200
5223043423021131131000
62212403201415523224
7101526452366655052
oct6663642777521640
91147450205875807
10241055442052000
116a8980478105a4
12230521ab989514
13a46757a1968b4
1443752079278d2
151cd0612a3c11a
hexdb3d17fea3a0

241055442052000 has 96 divisors (see below), whose sum is σ = 592495990107840. Its totient is φ = 96385909996800.

The previous prime is 241055442051989. The next prime is 241055442052027. The reversal of 241055442052000 is 250244550142.

It is a super-2 number, since 2×2410554420520002 (a number of 30 digits) contains 22 as substring.

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, 696054 + ... + 21968053.

It is an arithmetic number, because the mean of its divisors is an integer number (6171833230290).

Almost surely, 2241055442052000 is an apocalyptic number.

241055442052000 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 241055442052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296247995053920).

241055442052000 is an abundant number, since it is smaller than the sum of its proper divisors (351440548055840).

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

241055442052000 is a wasteful number, since it uses less digits than its factorization.

241055442052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22666791 (or 22666773 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 34.

The spelling of 241055442052000 in words is "two hundred forty-one trillion, fifty-five billion, four hundred forty-two million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2659 4000 5318 10636 13295 21272 26590 42544 53180 66475 85088 106360 132950 212720 265900 332375 425440 531800 664750 1063600 1329500 2127200 2659000 5318000 10636000 22664107 45328214 90656428 113320535 181312856 226641070 362625712 453282140 566602675 725251424 906564280 1133205350 1813128560 2266410700 2833013375 3626257120 4532821400 5666026750 9065642800 11332053500 18131285600 22664107000 45328214000 60263860513 90656428000 120527721026 241055442052 301319302565 482110884104 602638605130 964221768208 1205277210260 1506596512825 1928443536416 2410554420520 3013193025650 4821108841040 6026386051300 7532982564125 9642217682080 12052772102600 15065965128250 24105544205200 30131930256500 48211088410400 60263860513000 120527721026000 241055442052000