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23413443440 = 2458317919699
BaseRepresentation
bin10101110011100011…
…001100101101110000
32020102201112011100212
4111303203030231300
5340422320142230
614431143203252
71456130662022
oct256343145560
966381464325
1023413443440
119a25307662
124655146528
13229192975a
1411c1792012
1592077b895
hex5738ccb70

23413443440 has 80 divisors (see below), whose sum is σ = 55402704000. Its totient is φ = 9200384256.

The previous prime is 23413443413. The next prime is 23413443461. The reversal of 23413443440 is 4434431432.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 23413443397 and 23413443406.

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, 1178711 + ... + 1198409.

It is an arithmetic number, because the mean of its divisors is an integer number (692533800).

Almost surely, 223413443440 is an apocalyptic number.

23413443440 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 23413443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27701352000).

23413443440 is an abundant number, since it is smaller than the sum of its proper divisors (31989260560).

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

23413443440 is a wasteful number, since it uses less digits than its factorization.

23413443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19974 (or 19968 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 23413443440 its reverse (4434431432), we get a palindrome (27847874872).

The spelling of 23413443440 in words is "twenty-three billion, four hundred thirteen million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 179 332 358 415 664 716 830 895 1328 1432 1660 1790 2864 3320 3580 6640 7160 14320 14857 19699 29714 39398 59428 74285 78796 98495 118856 148570 157592 196990 237712 297140 315184 393980 594280 787960 1188560 1575920 1635017 3270034 3526121 6540068 7052242 8175085 13080136 14104484 16350170 17630605 26160272 28208968 32700340 35261210 56417936 65400680 70522420 130801360 141044840 282089680 292668043 585336086 1170672172 1463340215 2341344344 2926680430 4682688688 5853360860 11706721720 23413443440