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34250064144 = 2436311130813
BaseRepresentation
bin11111111001011101…
…101000000100010000
310021101221112112100020
4133321131220010100
51030121004023034
623422333423440
72321514512262
oct377135500420
9107357475306
1034250064144
11135862a513a
12677a33ab80
1332caa4c45a
14192ca93b32
15d56ce7249
hex7f9768110

34250064144 has 40 divisors (see below), whose sum is σ = 88619631552. Its totient is φ = 11398584960.

The previous prime is 34250064137. The next prime is 34250064197. The reversal of 34250064144 is 44146005243.

It is a happy number.

It is a super-2 number, since 2×342500641442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 535119 + ... + 595694.

Almost surely, 234250064144 is an apocalyptic number.

It is an amenable number.

34250064144 is an abundant number, since it is smaller than the sum of its proper divisors (54369567408).

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

34250064144 is a wasteful number, since it uses less digits than its factorization.

34250064144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131455 (or 1131449 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 34250064144 its reverse (44146005243), we get a palindrome (78396069387).

The spelling of 34250064144 in words is "thirty-four billion, two hundred fifty million, sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 631 1262 1893 2524 3786 5048 7572 10096 15144 30288 1130813 2261626 3392439 4523252 6784878 9046504 13569756 18093008 27139512 54279024 713543003 1427086006 2140629009 2854172012 4281258018 5708344024 8562516036 11416688048 17125032072 34250064144