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4204010112 = 273412571039
BaseRepresentation
bin1111101010010100…
…0001101010000000
3101211222120211201020
43322211001222000
532102211310422
61533054305440
7206115332151
oct37245015200
911758524636
104204010112
111868066025
12993ab8280
1351cc81063
142bc49b928
1519912295c
hexfa941a80

4204010112 has 128 divisors (see below), whose sum is σ = 11494828800. Its totient is φ = 1360527360.

The previous prime is 4204010101. The next prime is 4204010113. The reversal of 4204010112 is 2110104024.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4204010091 and 4204010100.

It is not an unprimeable number, because it can be changed into a prime (4204010113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4045689 + ... + 4046727.

It is an arithmetic number, because the mean of its divisors is an integer number (89803350).

Almost surely, 24204010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4204010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747414400).

4204010112 is an abundant number, since it is smaller than the sum of its proper divisors (7290818688).

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

4204010112 is a wasteful number, since it uses less digits than its factorization.

4204010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4204010112 is about 64838.3382883923. The cubic root of 4204010112 is about 1613.9419770957.

Adding to 4204010112 its reverse (2110104024), we get a palindrome (6314114136).

The spelling of 4204010112 in words is "four billion, two hundred four million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 257 328 384 492 514 656 771 984 1028 1039 1312 1542 1968 2056 2078 2624 3084 3117 3936 4112 4156 5248 6168 6234 7872 8224 8312 10537 12336 12468 15744 16448 16624 21074 24672 24936 31611 32896 33248 42148 42599 49344 49872 63222 66496 84296 85198 98688 99744 126444 127797 132992 168592 170396 199488 252888 255594 267023 337184 340792 398976 505776 511188 534046 674368 681584 801069 1011552 1022376 1068092 1348736 1363168 1602138 2023104 2044752 2136184 2726336 3204276 4046208 4089504 4272368 5452672 6408552 8179008 8544736 10947943 12817104 16358016 17089472 21895886 25634208 32843829 34178944 43791772 51268416 65687658 87583544 102536832 131375316 175167088 262750632 350334176 525501264 700668352 1051002528 1401336704 2102005056 4204010112