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104422434000 = 2435331355603
BaseRepresentation
bin110000101000000001…
…1111110010011010000
3100222112101020021012120
41201100003332103100
53202324120342000
6115545423054240
710354454021043
oct1412003762320
9328471207176
10104422434000
1140315818235
12182a2a41380
139b01ac89b1
1450a8538c5a
152ab26056a0
hex18500fe4d0

104422434000 has 160 divisors (see below), whose sum is σ = 337739585664. Its totient is φ = 27756518400.

The previous prime is 104422433981. The next prime is 104422434007. The reversal of 104422434000 is 434224401.

It is a happy number.

104422434000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104422434007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1850199 + ... + 1905801.

Almost surely, 2104422434000 is an apocalyptic number.

104422434000 is a gapful number since it is divisible by the number (10) 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 104422434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168869792832).

104422434000 is an abundant number, since it is smaller than the sum of its proper divisors (233317151664).

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

104422434000 is a wasteful number, since it uses less digits than its factorization.

104422434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55942 (or 55926 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 104422434000 its reverse (434224401), we get a palindrome (104856658401).

It can be divided in two parts, 10442 and 2434000, that added together give a palindrome (2444442).

The spelling of 104422434000 in words is "one hundred four billion, four hundred twenty-two million, four hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 313 375 400 500 600 626 750 939 1000 1200 1252 1500 1565 1878 2000 2504 3000 3130 3756 4695 5008 6000 6260 7512 7825 9390 12520 15024 15650 18780 23475 25040 31300 37560 39125 46950 55603 62600 75120 78250 93900 111206 117375 125200 156500 166809 187800 222412 234750 278015 313000 333618 375600 444824 469500 556030 626000 667236 834045 889648 939000 1112060 1334472 1390075 1668090 1878000 2224120 2668944 2780150 3336180 4170225 4448240 5560300 6672360 6950375 8340450 11120600 13344720 13900750 16680900 17403739 20851125 22241200 27801500 33361800 34807478 41702250 52211217 55603000 66723600 69614956 83404500 87018695 104422434 111206000 139229912 166809000 174037390 208844868 261056085 278459824 333618000 348074780 417689736 435093475 522112170 696149560 835379472 870186950 1044224340 1305280425 1392299120 1740373900 2088448680 2175467375 2610560850 3480747800 4176897360 4350934750 5221121700 6526402125 6961495600 8701869500 10442243400 13052804250 17403739000 20884486800 26105608500 34807478000 52211217000 104422434000