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103404652440 = 233510144319259
BaseRepresentation
bin110000001001101100…
…1011100011110011000
3100212220110002121101020
41200103121130132120
53143233042334230
6115300424322440
710320315020625
oct1402331343630
9325813077336
10103404652440
113a943259951
121805a013420
13999bca409b
14500d2bd34c
152a530b0810
hex181365c798

103404652440 has 128 divisors (see below), whose sum is σ = 314008876800. Its totient is φ = 27238515200.

The previous prime is 103404652433. The next prime is 103404652471. The reversal of 103404652440 is 44256404301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5359531 + ... + 5378789.

It is an arithmetic number, because the mean of its divisors is an integer number (2453194350).

Almost surely, 2103404652440 is an apocalyptic number.

103404652440 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 103404652440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157004438400).

103404652440 is an abundant number, since it is smaller than the sum of its proper divisors (210604224360).

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

103404652440 is a wasteful number, since it uses less digits than its factorization.

103404652440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19817 (or 19813 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 103404652440 in words is "one hundred three billion, four hundred four million, six hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 443 505 606 808 886 1010 1212 1329 1515 1772 2020 2215 2424 2658 3030 3544 4040 4430 5316 6060 6645 8860 10632 12120 13290 17720 19259 26580 38518 44743 53160 57777 77036 89486 96295 115554 134229 154072 178972 192590 223715 231108 268458 288885 357944 385180 447430 462216 536916 577770 671145 770360 894860 1073832 1155540 1342290 1789720 1945159 2311080 2684580 3890318 5369160 5835477 7780636 8531737 9725795 11670954 15561272 17063474 19451590 23341908 25595211 29177385 34126948 38903180 42658685 46683816 51190422 58354770 68253896 77806360 85317370 102380844 116709540 127976055 170634740 204761688 233419080 255952110 341269480 511904220 861705437 1023808440 1723410874 2585116311 3446821748 4308527185 5170232622 6893643496 8617054370 10340465244 12925581555 17234108740 20680930488 25851163110 34468217480 51702326220 103404652440