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2010314041424 = 241313613709981
BaseRepresentation
bin11101010000010000000…
…011011110100001010000
321010011222020112102221022
4131100100003132201100
5230414110343311144
64135305302415012
7265145312260463
oct35202003364120
97104866472838
102010314041424
1170562995a867
12285742131468
13117758327870
146d42a5dd2da
153745d71ecee
hex1d4100de850

2010314041424 has 40 divisors (see below), whose sum is σ = 4194911607432. Its totient is φ = 927767784960.

The previous prime is 2010314041423. The next prime is 2010314041427. The reversal of 2010314041424 is 4241404130102.

It can be written as a sum of positive squares in 4 ways, for example, as 488712846400 + 1521601195024 = 699080^2 + 1233532^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 2010314041393 and 2010314041402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010314041423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2476514 + ... + 3186494.

Almost surely, 22010314041424 is an apocalyptic number.

It is an amenable number.

2010314041424 is an abundant number, since it is smaller than the sum of its proper divisors (2184597566008).

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

2010314041424 is a wasteful number, since it uses less digits than its factorization.

2010314041424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723615 (or 723609 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 2010314041424 its reverse (4241404130102), we get a palindrome (6251718171526).

The spelling of 2010314041424 in words is "two trillion, ten billion, three hundred fourteen million, forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 13613 27226 54452 108904 176969 217808 353938 707876 709981 1415752 1419962 2831504 2839924 5679848 9229753 11359696 18459506 36919012 73838024 147676048 9664971353 19329942706 38659885412 77319770824 125644627589 154639541648 251289255178 502578510356 1005157020712 2010314041424