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144311241241040 = 24516971062987929
BaseRepresentation
bin100000110100000000010100…
…010001010111000111010000
3200220222000112112020111000012
4200310000110101113013100
5122403343410224203130
61230531400301014052
742253100042142206
oct4064002421270720
9626860475214005
10144311241241040
1141a89065548965
121422859a854328
13626a651229043
14278c9b66b9076
1511a3cee998995
hex8340144571d0

144311241241040 has 40 divisors (see below), whose sum is σ = 335721351956040. Its totient is φ = 57690480828416.

The previous prime is 144311241241039. The next prime is 144311241241061. The reversal of 144311241241040 is 40142142113441.

It can be written as a sum of positive squares in 4 ways, for example, as 7630544374336 + 136680696866704 = 2762344^2 + 11691052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 144311241240988 and 144311241241006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531358205 + ... + 531629724.

It is an arithmetic number, because the mean of its divisors is an integer number (8393033798901).

Almost surely, 2144311241241040 is an apocalyptic number.

144311241241040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144311241241040 is an abundant number, since it is smaller than the sum of its proper divisors (191410110715000).

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

144311241241040 is a wasteful number, since it uses less digits than its factorization.

144311241241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062989639 (or 1062989633 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 144311241241040 its reverse (40142142113441), we get a palindrome (184453383354481).

The spelling of 144311241241040 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred forty-one million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1697 3394 6788 8485 13576 16970 27152 33940 67880 135760 1062987929 2125975858 4251951716 5314939645 8503903432 10629879290 17007806864 21259758580 42519517160 85039034320 1803890515513 3607781031026 7215562062052 9019452577565 14431124124104 18038905155130 28862248248208 36077810310260 72155620620520 144311241241040