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104091694440 = 23354322788867
BaseRepresentation
bin110000011110001011…
…0010011010101101000
3100221200022212221211020
41200330112103111220
53201134433210230
6115452530132440
710343326542546
oct1407426232550
9327608787736
10104091694440
1140166058758
1218210121120
139a7b427406
145076642d96
152a93573810
hex183c593568

104091694440 has 128 divisors (see below), whose sum is σ = 320948559360. Its totient is φ = 26992514304.

The previous prime is 104091694391. The next prime is 104091694451. The reversal of 104091694440 is 44496190401.

It is a junction number, because it is equal to n+sod(n) for n = 104091694392 and 104091694401.

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, 1126887 + ... + 1215753.

It is an arithmetic number, because the mean of its divisors is an integer number (2507410620).

Almost surely, 2104091694440 is an apocalyptic number.

104091694440 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 104091694440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160474279680).

104091694440 is an abundant number, since it is smaller than the sum of its proper divisors (216856864920).

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

104091694440 is a wasteful number, since it uses less digits than its factorization.

104091694440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89151 (or 89147 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 104091694440 in words is "one hundred four billion, ninety-one million, six hundred ninety-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 227 258 344 430 454 516 645 681 860 908 1032 1135 1290 1362 1720 1816 2270 2580 2724 3405 4540 5160 5448 6810 9080 9761 13620 19522 27240 29283 39044 48805 58566 78088 88867 97610 117132 146415 177734 195220 234264 266601 292830 355468 390440 444335 533202 585660 710936 888670 1066404 1171320 1333005 1777340 2132808 2666010 3554680 3821281 5332020 7642562 10664040 11463843 15285124 19106405 20172809 22927686 30570248 38212810 40345618 45855372 57319215 60518427 76425620 80691236 91710744 100864045 114638430 121036854 152851240 161382472 201728090 229276860 242073708 302592135 403456180 458553720 484147416 605184270 806912360 867430787 1210368540 1734861574 2420737080 2602292361 3469723148 4337153935 5204584722 6939446296 8674307870 10409169444 13011461805 17348615740 20818338888 26022923610 34697231480 52045847220 104091694440