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23442441440 = 2551117974411
BaseRepresentation
bin10101110101010001…
…110100010011100000
32020111202002102010212
4111311101310103200
5341002231111230
614434100513252
71456632315215
oct256521642340
966452072125
1023442441440
119a3a713250
1246629ab828
132297940632
1411c557db0c
159230a8895
hex5754744e0

23442441440 has 96 divisors (see below), whose sum is σ = 60755909760. Its totient is φ = 8476787200.

The previous prime is 23442441439. The next prime is 23442441461. The reversal of 23442441440 is 4414424432.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 23442441397 and 23442441406.

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, 277835 + ... + 352245.

It is an arithmetic number, because the mean of its divisors is an integer number (632874060).

Almost surely, 223442441440 is an apocalyptic number.

23442441440 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 23442441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30377954880).

23442441440 is an abundant number, since it is smaller than the sum of its proper divisors (37313468320).

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

23442441440 is a wasteful number, since it uses less digits than its factorization.

23442441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74616 (or 74608 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 23442441440 its reverse (4414424432), we get a palindrome (27856865872).

The spelling of 23442441440 in words is "twenty-three billion, four hundred forty-two million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 179 220 352 358 440 716 880 895 1432 1760 1790 1969 2864 3580 3938 5728 7160 7876 9845 14320 15752 19690 28640 31504 39380 63008 74411 78760 148822 157520 297644 315040 372055 595288 744110 818521 1190576 1488220 1637042 2381152 2976440 3274084 4092605 5952880 6548168 8185210 11905760 13096336 13319569 16370420 26192672 26639138 32740840 53278276 65481680 66597845 106556552 130963360 133195690 146515259 213113104 266391380 293030518 426226208 532782760 586061036 732576295 1065565520 1172122072 1465152590 2131131040 2344244144 2930305180 4688488288 5860610360 11721220720 23442441440