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3441313103004 = 223374552001459
BaseRepresentation
bin110010000100111110001…
…111101011110010011100
3110011222122000201201122000
4302010332033223302130
5422340302123244004
611152530054522300
7503424642511410
oct62047617536234
913158560651560
103441313103004
1111074a8593907
12476b48966390
131bc68c29580a
14bc7bbbd8d40
155e7b3051c39
hex3213e3ebc9c

3441313103004 has 48 divisors (see below), whose sum is σ = 10196483270400. Its totient is φ = 983232314928.

The previous prime is 3441313102967. The next prime is 3441313103017. The reversal of 3441313103004 is 4003013131443.

3441313103004 is a `hidden beast` number, since 3 + 4 + 41 + 3 + 1 + 310 + 300 + 4 = 666.

It is a super-2 number, since 2×34413131030042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2275999974 + ... + 2276001485.

It is an arithmetic number, because the mean of its divisors is an integer number (212426734800).

Almost surely, 23441313103004 is an apocalyptic number.

It is an amenable number.

3441313103004 is an abundant number, since it is smaller than the sum of its proper divisors (6755170167396).

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

3441313103004 is a wasteful number, since it uses less digits than its factorization.

3441313103004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552001479 (or 4552001471 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 3441313103004 its reverse (4003013131443), we get a palindrome (7444326234447).

The spelling of 3441313103004 in words is "three trillion, four hundred forty-one billion, three hundred thirteen million, one hundred three thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 4552001459 9104002918 13656004377 18208005836 27312008754 31864010213 40968013131 54624017508 63728020426 81936026262 95592030639 122904039393 127456040852 163872052524 191184061278 245808078786 286776091917 382368122556 491616157572 573552183834 860328275751 1147104367668 1720656551502 3441313103004