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104044342000 = 24531910127109
BaseRepresentation
bin110000011100110000…
…1101010101011110000
3100221120000210012111011
41200321201222223300
53201040322421000
6115444115200304
710342213213024
oct1407141525360
9327500705434
10104044342000
1140141356105
12181b82a6094
139a71688111
145070238384
152a8e31d2ba
hex183986aaf0

104044342000 has 160 divisors (see below), whose sum is σ = 267452078400. Its totient is φ = 39035520000.

The previous prime is 104044341997. The next prime is 104044342033. The reversal of 104044342000 is 243440401.

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, 3824446 + ... + 3851554.

It is an arithmetic number, because the mean of its divisors is an integer number (1671575490).

Almost surely, 2104044342000 is an apocalyptic number.

104044342000 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 104044342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133726039200).

104044342000 is an abundant number, since it is smaller than the sum of its proper divisors (163407736400).

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

104044342000 is a wasteful number, since it uses less digits than its factorization.

104044342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27252 (or 27236 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 104044342000 its reverse (243440401), we get a palindrome (104287782401).

The spelling of 104044342000 in words is "one hundred four billion, forty-four million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 101 125 152 190 200 202 250 304 380 400 404 475 500 505 760 808 950 1000 1010 1520 1616 1900 1919 2000 2020 2375 2525 3800 3838 4040 4750 5050 7600 7676 8080 9500 9595 10100 12625 15352 19000 19190 20200 25250 27109 30704 38000 38380 40400 47975 50500 54218 76760 95950 101000 108436 135545 153520 191900 202000 216872 239875 271090 383800 433744 479750 515071 542180 677725 767600 959500 1030142 1084360 1355450 1919000 2060284 2168720 2575355 2710900 2738009 3388625 3838000 4120568 5150710 5421800 5476018 6777250 8241136 10301420 10843600 10952036 12876775 13554500 13690045 20602840 21904072 25753550 27109000 27380090 41205680 43808144 51507100 52022171 54218000 54760180 64383875 68450225 103014200 104044342 109520360 128767750 136900450 206028400 208088684 219040720 257535500 260110855 273800900 342251125 416177368 515071000 520221710 547601800 684502250 832354736 1030142000 1040443420 1095203600 1300554275 1369004500 2080886840 2601108550 2738009000 4161773680 5202217100 5476018000 6502771375 10404434200 13005542750 20808868400 26011085500 52022171000 104044342000