Search a number
-
+
11440829429952 = 263134583665637
BaseRepresentation
bin1010011001111100011010…
…0100101111100011000000
31111111201210001222222210120
42212133012210233203000
52444421304313224302
640155502224100240
72260400263414266
oct246370644574300
944451701888716
1011440829429952
113711034a5134a
121349386764680
1364cb339001b0
142b7a4c132436
1514c9077c69bc
hexa67c692f8c0

11440829429952 has 56 divisors (see below), whose sum is σ = 32599030017456. Its totient is φ = 3520255208448.

The previous prime is 11440829429951. The next prime is 11440829429969. The reversal of 11440829429952 is 25992492804411.

It is not an unprimeable number, because it can be changed into a prime (11440829429951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2291830323 + ... + 2291835314.

It is an arithmetic number, because the mean of its divisors is an integer number (582125536026).

Almost surely, 211440829429952 is an apocalyptic number.

11440829429952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11440829429952 is an abundant number, since it is smaller than the sum of its proper divisors (21158200587504).

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

11440829429952 is a wasteful number, since it uses less digits than its factorization.

11440829429952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583665665 (or 4583665655 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 11440829429952 in words is "eleven trillion, four hundred forty billion, eight hundred twenty-nine million, four hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 4583665637 9167331274 13750996911 18334662548 27501993822 36669325096 55003987644 59587653281 73338650192 110007975288 119175306562 146677300384 178762959843 220015950576 238350613124 293354600768 357525919686 440031901152 476701226248 715051839372 880063802304 953402452496 1430103678744 1906804904992 2860207357488 3813609809984 5720414714976 11440829429952