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4200330440220 = 2235534243311303
BaseRepresentation
bin111101000111110111001…
…101000010111000011100
3112212112210020202111012020
4331013313031002320130
51022304234043041340
612533334414340140
7612315050440515
oct75076715027034
915775706674166
104200330440220
11137a394038462
1257a0761ba650
13246121712b65
14107423279a0c
15743d84529d0
hex3d1f7342e1c

4200330440220 has 96 divisors (see below), whose sum is σ = 11985692124672. Its totient is φ = 1098691845888.

The previous prime is 4200330440161. The next prime is 4200330440239. The reversal of 4200330440220 is 220440330024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13337089 + ... + 13648391.

It is an arithmetic number, because the mean of its divisors is an integer number (124850959632).

Almost surely, 24200330440220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200330440220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992846062336).

4200330440220 is an abundant number, since it is smaller than the sum of its proper divisors (7785361684452).

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

4200330440220 is a wasteful number, since it uses less digits than its factorization.

4200330440220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315611 (or 315609 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 4200330440220 its reverse (220440330024), we get a palindrome (4420770770244).

The spelling of 4200330440220 in words is "four trillion, two hundred billion, three hundred thirty million, four hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 4243 8486 12729 16972 21215 25458 42430 50916 63645 84860 127290 224879 254580 311303 449758 622606 674637 899516 933909 1124395 1245212 1349274 1556515 1867818 2248790 2698548 3113030 3373185 3735636 4497580 4669545 6226060 6746370 9339090 13492740 16499059 18678180 32998118 49497177 65996236 82495295 98994354 164990590 197988708 247485885 329981180 494971770 989943540 1320858629 2641717258 3962575887 5283434516 6604293145 7925151774 13208586290 15850303548 19812879435 26417172580 39625758870 70005507337 79251517740 140011014674 210016522011 280022029348 350027536685 420033044022 700055073370 840066088044 1050082610055 1400110146740 2100165220110 4200330440220