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4414024212240 = 2435182310088737
BaseRepresentation
bin100000000111011100001…
…0110000101111100010000
3120121222100221021212110010
41000032320112011330100
51034304410144242430
613215435201434520
7633621430514226
oct100167026057420
916558327255403
104414024212240
111451a8265a215
125b357393ba40
13260318a723c6
141138d5cbcb16
1579c43bbacb0
hex403b8585f10

4414024212240 has 80 divisors (see below), whose sum is σ = 13690982435328. Its totient is φ = 1176427327488.

The previous prime is 4414024212187. The next prime is 4414024212317. The reversal of 4414024212240 is 422124204144.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 4414024212198 and 4414024212207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4606849 + ... + 5481888.

Almost surely, 24414024212240 is an apocalyptic number.

4414024212240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4414024212240 is an abundant number, since it is smaller than the sum of its proper divisors (9276958223088).

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

4414024212240 is a wasteful number, since it uses less digits than its factorization.

4414024212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10090576 (or 10090570 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 4414024212240 its reverse (422124204144), we get a palindrome (4836148416384).

It can be divided in two parts, 4414024 and 212240, that added together give a palindrome (4626264).

The spelling of 4414024212240 in words is "four trillion, four hundred fourteen billion, twenty-four million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1823 3646 5469 7292 9115 10938 14584 18230 21876 27345 29168 36460 43752 54690 72920 87504 109380 145840 218760 437520 10088737 20177474 30266211 40354948 50443685 60532422 80709896 100887370 121064844 151331055 161419792 201774740 242129688 302662110 403549480 484259376 605324220 807098960 1210648440 2421296880 18391767551 36783535102 55175302653 73567070204 91958837755 110350605306 147134140408 183917675510 220701210612 275876513265 294268280816 367835351020 441402421224 551753026530 735670702040 882804842448 1103506053060 1471341404080 2207012106120 4414024212240