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3001034235144 = 2331188312873787
BaseRepresentation
bin101011101010111011100…
…101000101110100001000
3101121220012020100212100110
4223222323211011310020
5343132104231011034
610214353414434320
7426550266052641
oct53527345056410
911556166325313
103001034235144
11a57805652970
124057543629a0
13189cc4b9596a
14a53723d66c8
15530e5438de9
hex2babb945d08

3001034235144 has 64 divisors (see below), whose sum is σ = 8193908586240. Its totient is φ = 908374340160.

The previous prime is 3001034235131. The next prime is 3001034235151. The reversal of 3001034235144 is 4415324301003.

3001034235144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6203782 + ... + 6670005.

It is an arithmetic number, because the mean of its divisors is an integer number (128029821660).

Almost surely, 23001034235144 is an apocalyptic number.

It is an amenable number.

3001034235144 is an abundant number, since it is smaller than the sum of its proper divisors (5192874351096).

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

3001034235144 is a wasteful number, since it uses less digits than its factorization.

3001034235144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12874690 (or 12874686 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 3001034235144 its reverse (4415324301003), we get a palindrome (7416358536147).

The spelling of 3001034235144 in words is "three trillion, one billion, thirty-four million, two hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 883 1766 2649 3532 5298 7064 9713 10596 19426 21192 29139 38852 58278 77704 116556 233112 12873787 25747574 38621361 51495148 77242722 102990296 141611657 154485444 283223314 308970888 424834971 566446628 849669942 1132893256 1699339884 3398679768 11367553921 22735107842 34102661763 45470215684 68205323526 90940431368 125043093131 136410647052 250086186262 272821294104 375129279393 500172372524 750258558786 1000344745048 1500517117572 3001034235144