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23331404440 = 2356173130987
BaseRepresentation
bin10101101110101010…
…001111101010011000
32020020000011011000101
4111232222033222120
5340240314420230
614415052545144
71454113444201
oct255652175230
966200134011
1023331404440
119992a73533
1246317821b4
13227a934276
1411b49185a8
15918473aca
hex56ea8fa98

23331404440 has 64 divisors (see below), whose sum is σ = 54087564960. Its totient is φ = 9053752320.

The previous prime is 23331404431. The next prime is 23331404441. The reversal of 23331404440 is 4440413332.

It is a junction number, because it is equal to n+sod(n) for n = 23331404399 and 23331404408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23331404441) 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, 112627 + ... + 243613.

Almost surely, 223331404440 is an apocalyptic number.

23331404440 is a gapful number since it is divisible by the number (20) 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 23331404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27043782480).

23331404440 is an abundant number, since it is smaller than the sum of its proper divisors (30756160520).

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

23331404440 is a wasteful number, since it uses less digits than its factorization.

23331404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131132 (or 131128 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 23331404440 its reverse (4440413332), we get a palindrome (27771817772).

The spelling of 23331404440 in words is "twenty-three billion, three hundred thirty-one million, four hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 73 122 146 244 292 305 365 488 584 610 730 1220 1460 2440 2920 4453 8906 17812 22265 35624 44530 89060 130987 178120 261974 523948 654935 1047896 1309870 2619740 5239480 7990207 9562051 15980414 19124102 31960828 38248204 39951035 47810255 63921656 76496408 79902070 95620510 159804140 191241020 319608280 382482040 583285111 1166570222 2333140444 2916425555 4666280888 5832851110 11665702220 23331404440