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1040001443024 = 241761104959753
BaseRepresentation
bin11110010001001001110…
…10101010010011010000
310200102102111012021102212
433020210322222103100
5114014410332134044
62113434200131252
7135065130256625
oct17104472522320
93612374167385
101040001443024
1137107577a115
12149686466b28
13770c1734b5b
143849ccac34c
151c0bd435a9e
hexf224eaa4d0

1040001443024 has 80 divisors (see below), whose sum is σ = 2170611853200. Its totient is φ = 480922337280.

The previous prime is 1040001443021. The next prime is 1040001443071. The reversal of 1040001443024 is 4203441000401.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 24985492624 + 1015015950400 = 158068^2 + 1007480^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040001443021) 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, 17375132 + ... + 17434884.

It is an arithmetic number, because the mean of its divisors is an integer number (27132648165).

Almost surely, 21040001443024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040001443024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085305926600).

1040001443024 is an abundant number, since it is smaller than the sum of its proper divisors (1130610410176).

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

1040001443024 is a wasteful number, since it uses less digits than its factorization.

1040001443024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60888 (or 60882 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 1040001443024 its reverse (4203441000401), we get a palindrome (5243442443425).

The spelling of 1040001443024 in words is "one trillion, forty billion, one million, four hundred forty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 488 976 1037 1049 2074 2098 4148 4196 8296 8392 16592 16784 17833 35666 59753 63989 71332 119506 127978 142664 239012 255956 285328 478024 511912 956048 1015801 1023824 1087813 2031602 2175626 3644933 4063204 4351252 7289866 8126408 8702504 14579732 16252816 17405008 29159464 58318928 61963861 62680897 123927722 125361794 247855444 250723588 495710888 501447176 991421776 1002894352 1065575249 2131150498 3823534717 4262300996 7647069434 8524601992 15294138868 17049203984 30588277736 61176555472 65000090189 130000180378 260000360756 520000721512 1040001443024