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2041310144 = 261910915401
BaseRepresentation
bin111100110101011…
…1110101111000000
312021021002022002102
41321222332233000
513140033411034
6534320205532
7101404564346
oct17152765700
95237068072
102041310144
119582a2585
1248b7698a8
13266bac333
1415516d996
15be32297e
hex79abebc0

2041310144 has 56 divisors (see below), whose sum is σ = 4303318800. Its totient is φ = 958003200.

The previous prime is 2041310129. The next prime is 2041310171. The reversal of 2041310144 is 4410131402.

It is a super-3 number, since 3×20413101443 (a number of 29 digits) contains 333 as substring.

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, 124844 + ... + 140244.

Almost surely, 22041310144 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 2041310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151659400).

2041310144 is an abundant number, since it is smaller than the sum of its proper divisors (2262008656).

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

2041310144 is a wasteful number, since it uses less digits than its factorization.

2041310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15541 (or 15531 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2041310144 is about 45180.8603725073. The cubic root of 2041310144 is about 1268.5365878713.

Adding to 2041310144 its reverse (4410131402), we get a palindrome (6451441546).

The spelling of 2041310144 in words is "two billion, forty-one million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 109 152 218 304 436 608 872 1216 1744 2071 3488 4142 6976 8284 15401 16568 30802 33136 61604 66272 123208 132544 246416 292619 492832 585238 985664 1170476 1678709 2340952 3357418 4681904 6714836 9363808 13429672 18727616 26859344 31895471 53718688 63790942 107437376 127581884 255163768 510327536 1020655072 2041310144