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4104037344 = 25311332119
BaseRepresentation
bin1111010010011110…
…1010001111100000
3101121000110200212010
43310213222033200
531401113143334
61515123432520
7203462512311
oct36447521740
911530420763
104104037344
111816693000
12966525740
13505349a84
142ad0b6608
151904760e9
hexf49ea3e0

4104037344 has 96 divisors (see below), whose sum is σ = 11849967360. Its totient is φ = 1243608960.

The previous prime is 4104037277. The next prime is 4104037367. The reversal of 4104037344 is 4437304014.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 111717 + ... + 143835.

It is an arithmetic number, because the mean of its divisors is an integer number (123437160).

Almost surely, 24104037344 is an apocalyptic number.

4104037344 is a gapful number since it is divisible by the number (44) 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 4104037344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5924983680).

4104037344 is an abundant number, since it is smaller than the sum of its proper divisors (7745930016).

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

4104037344 is a wasteful number, since it uses less digits than its factorization.

4104037344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32165 (or 32135 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 4104037344 is about 64062.7609770294. The cubic root of 4104037344 is about 1601.0458453973.

The spelling of 4104037344 in words is "four billion, one hundred four million, thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1331 1452 1936 2662 2904 3872 3993 5324 5808 7986 10648 11616 15972 21296 31944 32119 42592 63888 64238 96357 127776 128476 192714 256952 353309 385428 513904 706618 770856 1027808 1059927 1413236 1541712 2119854 2826472 3083424 3886399 4239708 5652944 7772798 8479416 11305888 11659197 15545596 16958832 23318394 31091192 33917664 42750389 46636788 62182384 85500778 93273576 124364768 128251167 171001556 186547152 256502334 342003112 373094304 513004668 684006224 1026009336 1368012448 2052018672 4104037344