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3344431240020 = 2235134287732359
BaseRepresentation
bin110000101010101111101…
…000101101001101010100
3102211201120011102011020110
4300222233220231031110
5414243343344140040
611040224400203020
7463425060330363
oct60525750551524
912751504364213
103344431240020
11107a402278252
1246020b309470
131b34bc791580
14b7c2ad337da
155bee2944980
hex30aafa2d354

3344431240020 has 48 divisors (see below), whose sum is σ = 10084746510720. Its totient is φ = 823244612736.

The previous prime is 3344431239911. The next prime is 3344431240039. The reversal of 3344431240020 is 200421344433.

It is a happy number.

3344431240020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33444312400202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3344431240020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2143865400 + ... + 2143866959.

It is an arithmetic number, because the mean of its divisors is an integer number (210098885640).

Almost surely, 23344431240020 is an apocalyptic number.

3344431240020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3344431240020 is an abundant number, since it is smaller than the sum of its proper divisors (6740315270700).

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

3344431240020 is a wasteful number, since it uses less digits than its factorization.

3344431240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287732384 (or 4287732382 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 3344431240020 its reverse (200421344433), we get a palindrome (3544852584453).

The spelling of 3344431240020 in words is "three trillion, three hundred forty-four billion, four hundred thirty-one million, two hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 4287732359 8575464718 12863197077 17150929436 21438661795 25726394154 42877323590 51452788308 55740520667 64315985385 85754647180 111481041334 128631970770 167221562001 222962082668 257263941540 278702603335 334443124002 557405206670 668886248004 836107810005 1114810413340 1672215620010 3344431240020