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23404422042 = 235411497883
BaseRepresentation
bin10101110011000000…
…110010001110011010
32020102002112211100000
4111303000302032122
5340413013001132
614430221553430
71455661206411
oct256300621632
966362484300
1023404422042
119a20205761
124652115876
13228cabb451
1411c04c4478
1591ea9887c
hex57303239a

23404422042 has 96 divisors (see below), whose sum is σ = 54238766400. Its totient is φ = 7559153280.

The previous prime is 23404422017. The next prime is 23404422047. The reversal of 23404422042 is 24022440432.

23404422042 is a `hidden beast` number, since 234 + 0 + 4 + 422 + 0 + 4 + 2 = 666.

It is a super-2 number, since 2×234044220422 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23404421997 and 23404422015.

It is not an unprimeable number, because it can be changed into a prime (23404422047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2965033 + ... + 2972915.

It is an arithmetic number, because the mean of its divisors is an integer number (564987150).

Almost surely, 223404422042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23404422042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27119383200).

23404422042 is an abundant number, since it is smaller than the sum of its proper divisors (30834344358).

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

23404422042 is a wasteful number, since it uses less digits than its factorization.

23404422042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8090 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 23404422042 its reverse (24022440432), we get a palindrome (47426862474).

The spelling of 23404422042 in words is "twenty-three billion, four hundred four million, four hundred twenty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 149 162 243 246 298 369 447 486 738 894 1107 1341 2214 2682 3321 4023 6109 6642 7883 8046 9963 12069 12218 15766 18327 19926 23649 24138 36207 36654 47298 54981 70947 72414 109962 141894 164943 212841 323203 329886 425682 494829 638523 646406 969609 989658 1174567 1277046 1484487 1915569 1939218 2349134 2908827 2968974 3523701 3831138 5817654 7047402 8726481 10571103 17452962 21142206 26179443 31713309 48157247 52358886 63426618 78538329 95139927 96314494 144471741 157076658 190279854 285419781 288943482 433415223 570839562 866830446 1300245669 2600491338 3900737007 7801474014 11702211021 23404422042