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2414332112240 = 245315318368321
BaseRepresentation
bin100011001000100001011…
…010000110110101110000
322112210210221210221212202
4203020201122012311300
5304024023010042430
65045043500042332
7336300254230616
oct43104132066560
98483727727782
102414332112240
11850a04599244
1232bab6b333a8
131468942438a9
1484bd629b6b6
1542c07c5cd45
hex23221686d70

2414332112240 has 80 divisors (see below), whose sum is σ = 5903725637376. Its totient is φ = 916946534400.

The previous prime is 2414332112141. The next prime is 2414332112263. The reversal of 2414332112240 is 422112334142.

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

It is a congruent number.

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, 9052721 + ... + 9315600.

Almost surely, 22414332112240 is an apocalyptic number.

2414332112240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414332112240 is an abundant number, since it is smaller than the sum of its proper divisors (3489393525136).

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

2414332112240 is a wasteful number, since it uses less digits than its factorization.

2414332112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18368418 (or 18368412 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 2414332112240 its reverse (422112334142), we get a palindrome (2836444446382).

The spelling of 2414332112240 in words is "two trillion, four hundred fourteen billion, three hundred thirty-two million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 53 62 80 106 124 155 212 248 265 310 424 496 530 620 848 1060 1240 1643 2120 2480 3286 4240 6572 8215 13144 16430 26288 32860 65720 131440 18368321 36736642 73473284 91841605 146946568 183683210 293893136 367366420 569417951 734732840 973521013 1138835902 1469465680 1947042026 2277671804 2847089755 3894084052 4555343608 4867605065 5694179510 7788168104 9110687216 9735210130 11388359020 15576336208 19470420260 22776718040 30179151403 38940840520 45553436080 60358302806 77881681040 120716605612 150895757015 241433211224 301791514030 482866422448 603583028060 1207166056120 2414332112240