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10414035440464 = 2413137201133559
BaseRepresentation
bin1001011110001011010011…
…1000100001001101010000
31100212120110000221212120111
42113202310320201031100
52331110421033043324
634052050345251104
72123250335461645
oct227426470411520
940776400855514
1010414035440464
113355627570597
121202387493a94
135a7068533b06
14280083391dcc
15130d5db20794
hex978b4e21350

10414035440464 has 40 divisors (see below), whose sum is σ = 20331916799040. Its totient is φ = 5167091904000.

The previous prime is 10414035440443. The next prime is 10414035440467. The reversal of 10414035440464 is 46404453041401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414035440467) 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 7 ways as a sum of consecutive naturals, for example, 77906517 + ... + 78040075.

It is an arithmetic number, because the mean of its divisors is an integer number (508297919976).

Almost surely, 210414035440464 is an apocalyptic number.

It is an amenable number.

10414035440464 is a deficient number, since it is larger than the sum of its proper divisors (9917881358576).

10414035440464 is a wasteful number, since it uses less digits than its factorization.

10414035440464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170899 (or 170893 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

Adding to 10414035440464 its reverse (46404453041401), we get a palindrome (56818488481865).

The spelling of 10414035440464 in words is "ten trillion, four hundred fourteen billion, thirty-five million, four hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 131 262 524 1048 2096 37201 74402 133559 148804 267118 297608 534236 595216 1068472 2136944 4873331 9746662 17496229 19493324 34992458 38986648 69984916 77973296 139969832 279939664 4968528359 9937056718 19874113436 39748226872 79496453744 650877215029 1301754430058 2603508860116 5207017720232 10414035440464