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13114334341000 = 235313114334341
BaseRepresentation
bin1011111011010110101100…
…1111010110011110001000
31201102201101111201211201201
42332311223033112132020
53204331124042403000
643520350402153544
72522323300433464
oct276655317263610
951381344654651
1013114334341000
1141a6837933402
1215797900528b4
137418a4139629
14334a46b114a4
1517b20204896a
hexbed6b3d6788

13114334341000 has 32 divisors (see below), whose sum is σ = 30687542360280. Its totient is φ = 5245733736000.

The previous prime is 13114334340997. The next prime is 13114334341001. The reversal of 13114334341000 is 14343341131.

It can be written as a sum of positive squares in 4 ways, for example, as 2127986572644 + 10986347768356 = 1458762^2 + 3314566^2 .

It is a super-4 number, since 4×131143343410004 (a number of 54 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13114334341000.

It is not an unprimeable number, because it can be changed into a prime (13114334341001) 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, 6557166171 + ... + 6557168170.

Almost surely, 213114334341000 is an apocalyptic number.

13114334341000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114334341000 is an abundant number, since it is smaller than the sum of its proper divisors (17573208019280).

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

13114334341000 is a wasteful number, since it uses less digits than its factorization.

13114334341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13114334362 (or 13114334348 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13114334341000 its reverse (14343341131), we get a palindrome (13128677682131).

The spelling of 13114334341000 in words is "thirteen trillion, one hundred fourteen billion, three hundred thirty-four million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 13114334341 26228668682 52457337364 65571671705 104914674728 131143343410 262286686820 327858358525 524573373640 655716717050 1311433434100 1639291792625 2622866868200 3278583585250 6557167170500 13114334341000