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23404112420 = 225131491913163
BaseRepresentation
bin10101110010111111…
…100110101000100100
32020102001222002121112
4111302333212220210
5340412423044140
614430211204152
71455655446623
oct256277465044
966361862545
1023404112420
119a20014077
124651ba6658
13228ca10540
1411c04436ba
1591ea36c65
hex572fe6a24

23404112420 has 96 divisors (see below), whose sum is σ = 53580441600. Its totient is φ = 8535882240.

The previous prime is 23404112359. The next prime is 23404112443. The reversal of 23404112420 is 2421140432.

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 31 ways as a sum of consecutive naturals, for example, 7397759 + ... + 7400921.

It is an arithmetic number, because the mean of its divisors is an integer number (558129600).

Almost surely, 223404112420 is an apocalyptic number.

23404112420 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 23404112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26790220800).

23404112420 is an abundant number, since it is smaller than the sum of its proper divisors (30176329180).

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

23404112420 is a wasteful number, since it uses less digits than its factorization.

23404112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 23404112420 its reverse (2421140432), we get a palindrome (25825252852).

The spelling of 23404112420 in words is "twenty-three billion, four hundred four million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 149 191 260 298 382 596 745 764 955 1490 1910 1937 2483 2980 3163 3820 3874 4966 6326 7748 9685 9932 12415 12652 15815 19370 24830 28459 31630 38740 41119 49660 56918 63260 82238 113836 142295 164476 205595 284590 369967 411190 471287 569180 604133 739934 822380 942574 1208266 1479868 1849835 1885148 2356435 2416532 3020665 3699670 4712870 6041330 6126731 7399340 7853729 9425740 12082660 12253462 15707458 24506924 30633655 31414916 39268645 61267310 78537290 90015817 122534620 157074580 180031634 360063268 450079085 900158170 1170205621 1800316340 2340411242 4680822484 5851028105 11702056210 23404112420