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10334011421214 = 23213413832812357
BaseRepresentation
bin1001011001100001001100…
…0101000111001000011110
31100120220220000122111100200
42112120103011013020132
52323303023410434324
633551213533004330
72114415302521245
oct226302305071036
940526800574320
1010334011421214
1133246a2049498
1211aa9736236a6
1359c65443c330
1427a25136395c
1512dc284a9ec9
hex9661314721e

10334011421214 has 96 divisors (see below), whose sum is σ = 24765309563904. Its totient is φ = 3094041576960.

The previous prime is 10334011421213. The next prime is 10334011421323. The reversal of 10334011421214 is 41212411043301.

It is a happy number.

10334011421214 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 401 + 1 + 42 + 1 + 214 = 666.

It is a super-2 number, since 2×103340114212142 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10334011421213) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2268324 + ... + 5080680.

It is an arithmetic number, because the mean of its divisors is an integer number (257971974624).

Almost surely, 210334011421214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10334011421214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12382654781952).

10334011421214 is an abundant number, since it is smaller than the sum of its proper divisors (14431298142690).

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

10334011421214 is a wasteful number, since it uses less digits than its factorization.

10334011421214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812802 (or 2812799 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10334011421214 its reverse (41212411043301), we get a palindrome (51546422464515).

The spelling of 10334011421214 in words is "ten trillion, three hundred thirty-four billion, eleven million, four hundred twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 383 533 738 766 1066 1149 1599 2298 3198 3447 4797 4979 6894 9594 9958 14937 15703 29874 31406 44811 47109 89622 94218 141327 204139 282654 408278 612417 1224834 1837251 2812357 3674502 5624714 8437071 16874142 25311213 36560641 50622426 73121282 109681923 115306637 219363846 230613274 329045769 345919911 658091538 691839822 1037759733 1077132731 1498986281 2075519466 2154265462 2997972562 3231398193 4496958843 6462796386 8993917686 9694194579 13490876529 14002725503 19388389158 26981753058 28005451006 42008176509 44162441971 84016353018 88324883942 126024529527 132487325913 252049059054 264974651826 397461977739 574111745623 794923955478 1148223491246 1722335236869 3444670473738 5167005710607 10334011421214