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34240332303140 = 2253121015485457
BaseRepresentation
bin1111100100100001100101…
…10110000000101100100100
311111020100021122000102121212
413302100302312000230210
513441443200032200030
6200453442544330552
710132532232310055
oct762206266005444
9144210248012555
1034240332303140
11aa01274a3a157
123a1000a013a58
131614b07407582
1486535315a72c
153e5a09e80595
hex1f2432d80b24

34240332303140 has 24 divisors (see below), whose sum is σ = 71904941334072. Its totient is φ = 13696086540800.

The previous prime is 34240332303131. The next prime is 34240332303167. The reversal of 34240332303140 is 4130323304243.

It can be written as a sum of positive squares in 4 ways, for example, as 3018343326244 + 31221988976896 = 1737338^2 + 5587664^2 .

It is a super-3 number, since 3×342403323031403 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34240332303097 and 34240332303106.

It is an unprimeable number.

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, 3499292 + ... + 8984748.

It is an arithmetic number, because the mean of its divisors is an integer number (2996039222253).

Almost surely, 234240332303140 is an apocalyptic number.

It is an amenable number.

34240332303140 is an abundant number, since it is smaller than the sum of its proper divisors (37664609030932).

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

34240332303140 is a wasteful number, since it uses less digits than its factorization.

34240332303140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797567 (or 5797565 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 34240332303140 its reverse (4130323304243), we get a palindrome (38370655607383).

The spelling of 34240332303140 in words is "thirty-four trillion, two hundred forty billion, three hundred thirty-two million, three hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 312101 624202 1248404 1560505 3121010 5485457 6242020 10970914 21941828 27427285 54854570 109709140 1712016615157 3424033230314 6848066460628 8560083075785 17120166151570 34240332303140