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2412310312040 = 235478631486841
BaseRepresentation
bin100011000110101000111…
…001100011010001101000
322112121121001102212101212
4203012220321203101220
5304010402414441130
65044111113532252
7336166204221446
oct43065071432150
98477531385355
102412310312040
11850067311892
1232b631a14088
13146631405905
1484a83969b96
1542b3a4e0e95
hex231a8e63468

2412310312040 has 64 divisors (see below), whose sum is σ = 5549608028160. Its totient is φ = 943298874880.

The previous prime is 2412310311923. The next prime is 2412310312043. The reversal of 2412310312040 is 402130132142.

It is a junction number, because it is equal to n+sod(n) for n = 2412310311997 and 2412310312015.

It is not an unprimeable number, because it can be changed into a prime (2412310312043) 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, 879020 + ... + 2365860.

It is an arithmetic number, because the mean of its divisors is an integer number (86712625440).

Almost surely, 22412310312040 is an apocalyptic number.

2412310312040 is a gapful number since it is divisible by the number (20) 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 2412310312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774804014080).

2412310312040 is an abundant number, since it is smaller than the sum of its proper divisors (3137297716120).

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

2412310312040 is a wasteful number, since it uses less digits than its factorization.

2412310312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487762 (or 1487758 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2412310312040 its reverse (402130132142), we get a palindrome (2814440444182).

The spelling of 2412310312040 in words is "two trillion, four hundred twelve billion, three hundred ten million, three hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 863 940 1726 1880 3452 4315 6904 8630 17260 34520 40561 81122 162244 202805 324488 405610 811220 1486841 1622440 2973682 5947364 7434205 11894728 14868410 29736820 59473640 69881527 139763054 279526108 349407635 559052216 698815270 1283143783 1397630540 2566287566 2795261080 5132575132 6415718915 10265150264 12831437830 25662875660 51325751320 60307757801 120615515602 241231031204 301538789005 482462062408 603077578010 1206155156020 2412310312040