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4104344140 = 225132372887
BaseRepresentation
bin1111010010100011…
…0101001001001100
3101121001001021200221
43310220311021030
531401203003030
61515134201124
7203465230621
oct36450651114
911531037627
104104344140
111816882556
129666531a4
13505426600
142ad156348
151904d6e7a
hexf4a3524c

4104344140 has 108 divisors (see below), whose sum is σ = 9603011376. Its totient is φ = 1472829696.

The previous prime is 4104344131. The next prime is 4104344141. The reversal of 4104344140 is 414434014.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4104344141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4626777 + ... + 4627663.

It is an arithmetic number, because the mean of its divisors is an integer number (88916772).

Almost surely, 24104344140 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 4104344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801505688).

4104344140 is an abundant number, since it is smaller than the sum of its proper divisors (5498667236).

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

4104344140 is a wasteful number, since it uses less digits than its factorization.

4104344140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4104344140 is about 64065.1554278923. The cubic root of 4104344140 is about 1601.0857396268.

Adding to 4104344140 its reverse (414434014), we get a palindrome (4518778154).

The spelling of 4104344140 in words is "four billion, one hundred four million, three hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 169 185 260 338 370 481 676 740 845 887 962 1369 1690 1774 1924 2405 2738 3380 3548 4435 4810 5476 6253 6845 8870 9620 11531 12506 13690 17740 17797 23062 25012 27380 31265 32819 35594 46124 57655 62530 65638 71188 88985 115310 125060 131276 149903 164095 177970 230620 231361 299806 328190 355940 426647 462722 599612 656380 749515 853294 925444 1156805 1214303 1499030 1706588 2133235 2313610 2428606 2998060 4266470 4627220 4857212 5546411 6071515 8532940 11092822 12143030 15785939 22185644 24286060 27732055 31571878 55464110 63143756 78929695 110928220 157859390 205217207 315718780 410434414 820868828 1026086035 2052172070 4104344140