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23113433424 = 24319233313329
BaseRepresentation
bin10101100001101010…
…110000000101010000
32012122211000001222210
4111201222300011100
5334314014332144
614341305032120
71445525641164
oct254152600520
965584001883
1023113433424
119890a266a4
124590785640
132244727233
1411939b8ca4
15904269ab9
hex561ab0150

23113433424 has 160 divisors (see below), whose sum is σ = 65802931200. Its totient is φ = 6958448640.

The previous prime is 23113433423. The next prime is 23113433449. The reversal of 23113433424 is 42433431132.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23113433391 and 23113433400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23113433423) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6941392 + ... + 6944720.

It is an arithmetic number, because the mean of its divisors is an integer number (411268320).

Almost surely, 223113433424 is an apocalyptic number.

23113433424 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 23113433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901465600).

23113433424 is an abundant number, since it is smaller than the sum of its proper divisors (42689497776).

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

23113433424 is a wasteful number, since it uses less digits than its factorization.

23113433424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3707 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 23113433424 its reverse (42433431132), we get a palindrome (65546864556).

The spelling of 23113433424 in words is "twenty-three billion, one hundred thirteen million, four hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 184 228 276 304 331 368 437 456 552 662 874 912 993 1104 1311 1324 1748 1986 2622 2648 3329 3496 3972 5244 5296 6289 6658 6992 7613 7944 9987 10488 12578 13316 15226 15888 18867 19974 20976 22839 25156 26632 30452 37734 39948 45678 50312 53264 60904 63251 75468 76567 79896 91356 100624 121808 126502 144647 150936 153134 159792 182712 189753 229701 253004 289294 301872 306268 365424 379506 433941 459402 506008 578588 612536 759012 867882 918804 1012016 1101899 1157176 1225072 1454773 1518024 1735764 1837608 2203798 2314352 2909546 3036048 3305697 3471528 3675216 4364319 4407596 5819092 6611394 6943056 8728638 8815192 11638184 13222788 17457276 17630384 20936081 23276368 25343677 26445576 34914552 41872162 50687354 52891152 62808243 69829104 76031031 83744324 101374708 125616486 152062062 167488648 202749416 251232972 304124124 334977296 405498832 481529863 502465944 608248248 963059726 1004931888 1216496496 1444589589 1926119452 2889179178 3852238904 5778358356 7704477808 11556716712 23113433424