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22435241300040 = 23351065717543431
BaseRepresentation
bin1010001100111100111001…
…00101101001000001001000
32221102210021112121020222110
411012132130211221001020
510420034333233100130
6115414335122422320
74503615123362652
oct506363445510110
987383245536873
1022435241300040
11716a806912578
122624124b019a0
13c698323948aa
14577c2b46d6d2
1528d8d35a3ab0
hex14679c969048

22435241300040 has 64 divisors (see below), whose sum is σ = 67312043372160. Its totient is φ = 5982169282560.

The previous prime is 22435241300029. The next prime is 22435241300047. The reversal of 22435241300040 is 4000314253422.

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 = 22435241299980 and 22435241300007.

It is not an unprimeable number, because it can be changed into a prime (22435241300047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7492876 + ... + 10050555.

It is an arithmetic number, because the mean of its divisors is an integer number (1051750677690).

Almost surely, 222435241300040 is an apocalyptic number.

22435241300040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22435241300040 is an abundant number, since it is smaller than the sum of its proper divisors (44876802072120).

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

22435241300040 is a wasteful number, since it uses less digits than its factorization.

22435241300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17554102 (or 17554098 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 22435241300040 its reverse (4000314253422), we get a palindrome (26435555553462).

The spelling of 22435241300040 in words is "twenty-two trillion, four hundred thirty-five billion, two hundred forty-one million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 10657 21314 31971 42628 53285 63942 85256 106570 127884 159855 213140 255768 319710 426280 639420 1278840 17543431 35086862 52630293 70173724 87717155 105260586 140347448 175434310 210521172 263151465 350868620 421042344 526302930 701737240 1052605860 2105211720 186960344167 373920688334 560881032501 747841376668 934801720835 1121762065002 1495682753336 1869603441670 2243524130004 2804405162505 3739206883340 4487048260008 5608810325010 7478413766680 11217620650020 22435241300040