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10340121044214 = 2331336973984181
BaseRepresentation
bin1001011001110111111100…
…1111011110010011110110
31100121111122210222111112000
42112131333033132103312
52323403031441403324
633554104103240130
72115022560461223
oct226357717362366
940544583874460
1010340121044214
1133272478436a5
1211abb99749046
135a00b913a980
1427a67094a94a
1512de84a489c9
hex9677f3de4f6

10340121044214 has 64 divisors (see below), whose sum is σ = 24752288460480. Its totient is φ = 3180714324480.

The previous prime is 10340121044191. The next prime is 10340121044237. The reversal of 10340121044214 is 41244012104301.

10340121044214 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 0 + 1 + 210 + 442 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10340121044191) and next prime (10340121044237).

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 (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603204 + ... + 4587384.

It is an arithmetic number, because the mean of its divisors is an integer number (386754507195).

Almost surely, 210340121044214 is an apocalyptic number.

10340121044214 is an abundant number, since it is smaller than the sum of its proper divisors (14412167416266).

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

10340121044214 is a wasteful number, since it uses less digits than its factorization.

10340121044214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987902 (or 3987896 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10340121044214 its reverse (41244012104301), we get a palindrome (51584133148515).

The spelling of 10340121044214 in words is "ten trillion, three hundred forty billion, one hundred twenty-one million, forty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 3697 7394 11091 22182 33273 48061 66546 96122 99819 144183 199638 288366 432549 865098 1297647 2595294 3984181 7968362 11952543 23905086 35857629 51794353 71715258 103588706 107572887 155383059 215145774 310766118 466149177 932298354 1398447531 2796895062 14729517157 29459034314 44188551471 88377102942 132565654413 191483723041 265131308826 382967446082 397696963239 574451169123 795393926478 1148902338246 1723353507369 3446707014738 5170060522107 10340121044214