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41142550230 = 23251398813733
BaseRepresentation
bin100110010100010010…
…010111111011010110
310221012021222002202200
4212110102113323112
51133224443101410
630522311345330
72654356623015
oct462422277326
9127167862680
1041142550230
11164a2995a31
127b82682246
133b589b07a2
141dc4224a7c
15110be753c0
hex994497ed6

41142550230 has 96 divisors (see below), whose sum is σ = 107891390880. Its totient is φ = 10877137920.

The previous prime is 41142550219. The next prime is 41142550237. The reversal of 41142550230 is 3205524114.

41142550230 is a `hidden beast` number, since 4 + 1 + 1 + 425 + 5 + 0 + 230 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41142550194 and 41142550203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41142550237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11019444 + ... + 11023176.

It is an arithmetic number, because the mean of its divisors is an integer number (1123868655).

Almost surely, 241142550230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41142550230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53945695440).

41142550230 is an abundant number, since it is smaller than the sum of its proper divisors (66748840650).

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

41142550230 is a wasteful number, since it uses less digits than its factorization.

41142550230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 41142550230 in words is "forty-one billion, one hundred forty-two million, five hundred fifty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 881 1251 1390 1762 2085 2502 2643 3733 4170 4405 5286 6255 7466 7929 8810 11199 12510 13215 15858 18665 22398 26430 33597 37330 39645 55995 67194 79290 111990 122459 167985 244918 335970 367377 518887 612295 734754 1037774 1102131 1224590 1556661 1836885 2204262 2594435 3113322 3288773 3673770 4669983 5188870 5510655 6577546 7783305 9339966 9866319 11021310 15566610 16443865 19732638 23349915 29598957 32887730 46699830 49331595 59197914 98663190 147994785 295989570 457139447 914278894 1371418341 2285697235 2742836682 4114255023 4571394470 6857091705 8228510046 13714183410 20571275115 41142550230