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330132134341104 = 24313687502502579
BaseRepresentation
bin100101100010000001110000…
…0100110001010100111110000
31121021220022202001201100112120
41023010003200212022213300
5321232341102342403404
63130044335300554240
7126352155021426414
oct11304034046124760
91537808661640476
10330132134341104
1196210285343777
123103999b9b2980
131122943296b604
145b746a2916d44
152827763a489d9
hex12c40e098a9f0

330132134341104 has 40 divisors (see below), whose sum is σ = 852903659064960. Its totient is φ = 110036004520128.

The previous prime is 330132134341081. The next prime is 330132134341147. The reversal of 330132134341104 is 401143431231033.

It is a super-2 number, since 2×3301321343411042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 250594314 + ... + 251908265.

It is an arithmetic number, because the mean of its divisors is an integer number (21322591476624).

Almost surely, 2330132134341104 is an apocalyptic number.

It is an amenable number.

330132134341104 is an abundant number, since it is smaller than the sum of its proper divisors (522771524723856).

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

330132134341104 is a wasteful number, since it uses less digits than its factorization.

330132134341104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502516277 (or 502516271 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 330132134341104 its reverse (401143431231033), we get a palindrome (731275565572137).

The spelling of 330132134341104 in words is "three hundred thirty trillion, one hundred thirty-two billion, one hundred thirty-four million, three hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 13687 27374 41061 54748 82122 109496 164244 218992 328488 656976 502502579 1005005158 1507507737 2010010316 3015015474 4020020632 6030030948 8040041264 12060061896 24120123792 6877752798773 13755505597546 20633258396319 27511011195092 41266516792638 55022022390184 82533033585276 110044044780368 165066067170552 330132134341104