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23313404440 = 23523109123227
BaseRepresentation
bin10101101101100101…
…100101001000011000
32020011202021122122201
4111231211211020120
5340221212420230
614413211055544
71453504445104
oct255545451030
966152248581
1023313404440
1199838998a7
1246277415b4
132276ca1291
1411b2390904
15916aba5ca
hex56d965218

23313404440 has 64 divisors (see below), whose sum is σ = 54788348160. Its totient is φ = 8911351680.

The previous prime is 23313404437. The next prime is 23313404467. The reversal of 23313404440 is 4440431332.

It is a junction number, because it is equal to n+sod(n) for n = 23313404399 and 23313404408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 992107 + ... + 1015333.

It is an arithmetic number, because the mean of its divisors is an integer number (856067940).

Almost surely, 223313404440 is an apocalyptic number.

23313404440 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 23313404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27394174080).

23313404440 is an abundant number, since it is smaller than the sum of its proper divisors (31474943720).

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

23313404440 is a wasteful number, since it uses less digits than its factorization.

23313404440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24352 (or 24348 counting only the distinct ones).

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

Adding to 23313404440 its reverse (4440431332), we get a palindrome (27753835772).

The spelling of 23313404440 in words is "twenty-three billion, three hundred thirteen million, four hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1091 2182 4364 5455 8728 10910 21820 23227 25093 43640 46454 50186 92908 100372 116135 125465 185816 200744 232270 250930 464540 501860 534221 929080 1003720 1068442 2136884 2671105 4273768 5342210 10684420 21368840 25340657 50681314 101362628 126703285 202725256 253406570 506813140 582835111 1013626280 1165670222 2331340444 2914175555 4662680888 5828351110 11656702220 23313404440