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330034042401040 = 24515023232746031
BaseRepresentation
bin100101100001010100000100…
…1110111000111000100010000
31121021112221112212102111110101
41023002220021313013010100
5321224234204323313130
63125531313534142144
7126342113143620025
oct11302501167070420
91537487485374411
10330034042401040
1196182718a6930a
1231022985051954
13112200cc555223
145b6da3905b54c
152824e220b01ca
hex12c2a09dc7110

330034042401040 has 40 divisors (see below), whose sum is σ = 767329938776448. Its totient is φ = 132013481013120.

The previous prime is 330034042401013. The next prime is 330034042401061. The reversal of 330034042401040 is 40104240430033.

It is a tau number, because it is divible by the number of its divisors (40).

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, 118812825 + ... + 121558855.

Almost surely, 2330034042401040 is an apocalyptic number.

It is an amenable number.

330034042401040 is an abundant number, since it is smaller than the sum of its proper divisors (437295896375408).

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

330034042401040 is a wasteful number, since it uses less digits than its factorization.

330034042401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248367 (or 4248361 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 330034042401040 its reverse (40104240430033), we get a palindrome (370138282831073).

The spelling of 330034042401040 in words is "three hundred thirty trillion, thirty-four billion, forty-two million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1502323 2746031 3004646 5492062 6009292 7511615 10984124 12018584 13730155 15023230 21968248 24037168 27460310 30046460 43936496 54920620 60092920 109841240 120185840 219682480 4125425530013 8250851060026 16501702120052 20627127650065 33003404240104 41254255300130 66006808480208 82508510600260 165017021200520 330034042401040