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115082010040 = 23553277195971
BaseRepresentation
bin110101100101101101…
…1000001110110111000
3102000001021002211120011
41223023123001312320
53341141443310130
6124511250511304
711212560642154
oct1531333016670
9360037084504
10115082010040
1144895881508
121a378895534
13ab10340a3a
1457da112064
152ed834d52a
hex1acb6c1db8

115082010040 has 64 divisors (see below), whose sum is σ = 264773849760. Its totient is φ = 45000983040.

The previous prime is 115082010031. The next prime is 115082010049. The reversal of 115082010040 is 40010280511.

It is an interprime number because it is at equal distance from previous prime (115082010031) and next prime (115082010049).

It is a junction number, because it is equal to n+sod(n) for n = 115082009993 and 115082010020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115082010049) 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, 489255 + ... + 685225.

Almost surely, 2115082010040 is an apocalyptic number.

115082010040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115082010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132386924880).

115082010040 is an abundant number, since it is smaller than the sum of its proper divisors (149691839720).

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

115082010040 is a wasteful number, since it uses less digits than its factorization.

115082010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196312 (or 196308 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

Adding to 115082010040 its reverse (40010280511), we get a palindrome (155092290551).

The spelling of 115082010040 in words is "one hundred fifteen billion, eighty-two million, ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 277 424 530 554 1060 1108 1385 2120 2216 2770 5540 11080 14681 29362 58724 73405 117448 146810 195971 293620 391942 587240 783884 979855 1567768 1959710 3919420 7838840 10386463 20772926 41545852 51932315 54283967 83091704 103864630 108567934 207729260 217135868 271419835 415458520 434271736 542839670 1085679340 2171358680 2877050251 5754100502 11508201004 14385251255 23016402008 28770502510 57541005020 115082010040