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104140034040 = 23357239518729
BaseRepresentation
bin110000011111100111…
…0101100111111111000
3100221210200211212021210
41200333032230333320
53201234322042130
6115501414203120
710344454453410
oct1407716547770
9327720755253
10104140034040
1140190374a39
12182243534a0
139a88450b23
14507cc27640
152a979215b0
hex183f3acff8

104140034040 has 128 divisors (see below), whose sum is σ = 358546176000. Its totient is φ = 23703794688.

The previous prime is 104140033969. The next prime is 104140034081. The reversal of 104140034040 is 40430041401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 104140033998 and 104140034016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58605 + ... + 460124.

It is an arithmetic number, because the mean of its divisors is an integer number (2801142000).

Almost surely, 2104140034040 is an apocalyptic number.

104140034040 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 104140034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179273088000).

104140034040 is an abundant number, since it is smaller than the sum of its proper divisors (254406141960).

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

104140034040 is a wasteful number, since it uses less digits than its factorization.

104140034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518989 (or 518985 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 104140034040 its reverse (40430041401), we get a palindrome (144570075441).

The spelling of 104140034040 in words is "one hundred four billion, one hundred forty million, thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 239 280 420 478 717 840 956 1195 1434 1673 1912 2390 2868 3346 3585 4780 5019 5736 6692 7170 8365 9560 10038 13384 14340 16730 20076 25095 28680 33460 40152 50190 66920 100380 200760 518729 1037458 1556187 2074916 2593645 3112374 3631103 4149832 5187290 6224748 7262206 7780935 10374580 10893309 12449496 14524412 15561870 18155515 20749160 21786618 29048824 31123740 36311030 43573236 54466545 62247480 72622060 87146472 108933090 123976231 145244120 217866180 247952462 371928693 435732360 495904924 619881155 743857386 867833617 991809848 1239762310 1487714772 1735667234 1859643465 2479524620 2603500851 2975429544 3471334468 3719286930 4339168085 4959049240 5207001702 6942668936 7438573860 8678336170 10414003404 13017504255 14877147720 17356672340 20828006808 26035008510 34713344680 52070017020 104140034040