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12441044410340 = 2257136835738687
BaseRepresentation
bin1011010100001010100000…
…0010000101111111100100
31122001100111202221112221012
42311002220002011333210
53112313224332112330
642243200434241352
72422556451442310
oct265025002057744
948040452845835
1012441044410340
113a67243261187
12148b1a8726258
136c3254599760
14310214d3ab40
15168947d55c95
hexb50a8085fe4

12441044410340 has 48 divisors (see below), whose sum is σ = 32155314788352. Its totient is φ = 3937385483136.

The previous prime is 12441044410331. The next prime is 12441044410393. The reversal of 12441044410340 is 4301444014421.

It is a super-3 number, since 3×124410444103403 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12441044410297 and 12441044410306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3417867524 + ... + 3417871163.

It is an arithmetic number, because the mean of its divisors is an integer number (669902391424).

Almost surely, 212441044410340 is an apocalyptic number.

12441044410340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12441044410340 is an abundant number, since it is smaller than the sum of its proper divisors (19714270378012).

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

12441044410340 is a wasteful number, since it uses less digits than its factorization.

12441044410340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6835738716 (or 6835738714 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 12441044410340 its reverse (4301444014421), we get a palindrome (16742488424761).

The spelling of 12441044410340 in words is "twelve trillion, four hundred forty-one billion, forty-four million, four hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 6835738687 13671477374 27342954748 34178693435 47850170809 68357386870 88864602931 95700341618 136714773740 177729205862 191400683236 239250854045 355458411724 444323014655 478501708090 622052220517 888646029310 957003416180 1244104441034 1777292058620 2488208882068 3110261102585 6220522205170 12441044410340