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23031210144 = 2532392833547
BaseRepresentation
bin10101011100110001…
…000110000010100000
32012110002021200212010
4111130301012002200
5334131442211034
614325210432520
71443510025155
oct253461060240
965402250763
1023031210144
119849577078
124569132740
132230698bc7
141186ad422c
158ebe273e9
hex55cc460a0

23031210144 has 96 divisors (see below), whose sum is σ = 60941583360. Its totient is φ = 7615786752.

The previous prime is 23031210131. The next prime is 23031210197. The reversal of 23031210144 is 44101213032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 23031210144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6491379 + ... + 6494925.

It is an arithmetic number, because the mean of its divisors is an integer number (634808160).

Almost surely, 223031210144 is an apocalyptic number.

23031210144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23031210144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30470791680).

23031210144 is an abundant number, since it is smaller than the sum of its proper divisors (37910373216).

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

23031210144 is a wasteful number, since it uses less digits than its factorization.

23031210144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 23031210144 its reverse (44101213032), we get a palindrome (67132423176).

The spelling of 23031210144 in words is "twenty-three billion, thirty-one million, two hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 283 478 566 717 849 956 1132 1434 1698 1912 2264 2868 3396 3547 3824 4528 5736 6792 7094 7648 9056 10641 11472 13584 14188 21282 22944 27168 28376 42564 56752 67637 85128 113504 135274 170256 202911 270548 340512 405822 541096 811644 847733 1003801 1082192 1623288 1695466 2007602 2164384 2543199 3011403 3246576 3390932 4015204 5086398 6022806 6493152 6781864 8030408 10172796 12045612 13563728 16060816 20345592 24091224 27127456 32121632 40691184 48182448 81382368 96364896 239908439 479816878 719725317 959633756 1439450634 1919267512 2878901268 3838535024 5757802536 7677070048 11515605072 23031210144