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23231144113232 = 2411434636629923
BaseRepresentation
bin1010100100000111011000…
…00101111011010001010000
310001020212122101011100021112
411102003230011323101100
511021104340343110412
6121224123522112452
74615252256563646
oct522035405732120
9101225571140245
1023231144113232
117447300243170
1227324271ab728
13cc68c2552673
145a45715c3196
152a4466d24722
hex1520ec17b450

23231144113232 has 80 divisors (see below), whose sum is σ = 50352628558848. Its totient is φ = 10291760519040.

The previous prime is 23231144113213. The next prime is 23231144113297.

23231144113232 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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, 189023 + ... + 6818945.

Almost surely, 223231144113232 is an apocalyptic number.

23231144113232 is a gapful number since it is divisible by the number (22) 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 23231144113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25176314279424).

23231144113232 is an abundant number, since it is smaller than the sum of its proper divisors (27121484445616).

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

23231144113232 is a wasteful number, since it uses less digits than its factorization.

23231144113232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6630448 (or 6630442 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 2323114 and 4113232, that added together give a palindrome (6436346).

The spelling of 23231144113232 in words is "twenty-three trillion, two hundred thirty-one billion, one hundred forty-four million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 463 473 688 926 946 1852 1892 3704 3784 5093 7408 7568 10186 19909 20372 39818 40744 79636 81488 159272 218999 318544 437998 875996 1751992 3503984 6629923 13259846 26519692 53039384 72929153 106078768 145858306 285086689 291716612 570173378 583433224 1140346756 1166866448 2280693512 3069654349 3135953579 4561387024 6139308698 6271907158 12278617396 12543814316 24557234792 25087628632 33766197839 49114469584 50175257264 67532395678 131995137007 135064791356 263990274014 270129582712 527980548028 540259165424 1055961096056 1451946507077 2111922192112 2903893014154 5807786028308 11615572056616 23231144113232