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34044407334040 = 2351750065304903
BaseRepresentation
bin1111011110110100101001…
…10011100100010010011000
311110112121120021121202121211
413233122110303210102120
513430240421234142130
6200223441304312504
710112425102455445
oct757322463442230
9143477507552554
1034044407334040
11a936174449a94
12399a04b172734
1315cc4b241a4ac
14859a883609cc
153e088e652a2a
hex1ef694ce4498

34044407334040 has 32 divisors (see below), whose sum is σ = 81105793944480. Its totient is φ = 12816718054912.

The previous prime is 34044407333987. The next prime is 34044407334079. The reversal of 34044407334040 is 4043370444043.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 34044407333984 and 34044407334002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25032651772 + ... + 25032653131.

It is an arithmetic number, because the mean of its divisors is an integer number (2534556060765).

Almost surely, 234044407334040 is an apocalyptic number.

It is an amenable number.

34044407334040 is an abundant number, since it is smaller than the sum of its proper divisors (47061386610440).

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

34044407334040 is a wasteful number, since it uses less digits than its factorization.

34044407334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50065304931 (or 50065304927 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 40.

Adding to 34044407334040 its reverse (4043370444043), we get a palindrome (38087777778083).

The spelling of 34044407334040 in words is "thirty-four trillion, forty-four billion, four hundred seven million, three hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 50065304903 100130609806 200261219612 250326524515 400522439224 500653049030 851110183351 1001306098060 1702220366702 2002612196120 3404440733404 4255550916755 6808881466808 8511101833510 17022203667020 34044407334040