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340135011041 = 71492551127837
BaseRepresentation
bin1001111001100011010…
…00000110001011100001
31012111221121000211120112
410330301220012023201
521033044030323131
6420131133421105
733400601614340
oct4746150061341
91174847024515
10340135011041
1112128338a111
1255b0663a795
13260c7b62757
1412669615b57
158caae6402b
hex4f31a062e1

340135011041 has 16 divisors (see below), whose sum is σ = 391491091200. Its totient is φ = 289471838400.

The previous prime is 340135011011. The next prime is 340135011071. The reversal of 340135011041 is 140110531043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (340135011011) and next prime (340135011071).

It is a cyclic number.

It is not a de Polignac number, because 340135011041 - 234 = 322955141857 is a prime.

It is a super-2 number, since 2×3401350110412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 340135010998 and 340135011016.

It is not an unprimeable number, because it can be changed into a prime (340135011011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2596775 + ... + 2724611.

It is an arithmetic number, because the mean of its divisors is an integer number (24468193200).

Almost surely, 2340135011041 is an apocalyptic number.

It is an amenable number.

340135011041 is a deficient number, since it is larger than the sum of its proper divisors (51356080159).

340135011041 is a wasteful number, since it uses less digits than its factorization.

340135011041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130544.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 340135011041 its reverse (140110531043), we get a palindrome (480245542084).

The spelling of 340135011041 in words is "three hundred forty billion, one hundred thirty-five million, eleven thousand, forty-one".

Divisors: 1 7 149 1043 2551 17857 127837 380099 894859 2660693 19047713 133333991 326112187 2282785309 48590715863 340135011041