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23040244204032 = 293111363650817
BaseRepresentation
bin1010011110100011110011…
…00100100100001000000000
310000120121220020022011120010
411033101321210210020000
511004442410004012112
6121000313030344520
74565413505251626
oct517217144441000
9100517806264503
1023040244204032
117383349216970
12270142b1bb140
13cb18bb659703
14599221d2d516
1529e4e274d63c
hex14f479924200

23040244204032 has 80 divisors (see below), whose sum is σ = 66960709767072. Its totient is φ = 6981892177920.

The previous prime is 23040244204001. The next prime is 23040244204051.

23040244204032 is nontrivially palindromic in base 10.

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 7 ways as a sum of consecutive naturals, for example, 681808513 + ... + 681842304.

Almost surely, 223040244204032 is an apocalyptic number.

23040244204032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23040244204032 is an abundant number, since it is smaller than the sum of its proper divisors (43920465563040).

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

23040244204032 is a wasteful number, since it uses less digits than its factorization.

23040244204032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363650849 (or 1363650833 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 2304024 and 4204032, that added together give a palindrome (6508056).

The spelling of 23040244204032 in words is "twenty-three trillion, forty billion, two hundred forty-four million, two hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 16896 1363650817 2727301634 4090952451 5454603268 8181904902 10909206536 15000158987 16363809804 21818413072 30000317974 32727619608 43636826144 45000476961 60000635948 65455239216 87273652288 90000953922 120001271896 130910478432 174547304576 180001907844 240002543792 261820956864 349094609152 360003815688 480005087584 523641913728 698189218304 720007631376 960010175168 1047283827456 1440015262752 1920020350336 2094567654912 2880030525504 3840040700672 5760061051008 7680081401344 11520122102016 23040244204032