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4142213222420 = 2257132275941331
BaseRepresentation
bin111100010001101111001…
…001011101000000010100
3112122222202221221221002002
4330101233021131000110
51020331223041104140
612450523444534432
7605156622311660
oct74215711350024
915588687857062
104142213222420
111357780416549
1256a9569b1418
132407bc06b5a0
141046ac88b8a0
1572b3615b415
hex3c46f25d014

4142213222420 has 48 divisors (see below), whose sum is σ = 10706028025728. Its totient is φ = 1310942206080.

The previous prime is 4142213222347. The next prime is 4142213222443. The reversal of 4142213222420 is 242223122414.

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 15 ways as a sum of consecutive naturals, for example, 1137968846 + ... + 1137972485.

It is an arithmetic number, because the mean of its divisors is an integer number (223042250536).

Almost surely, 24142213222420 is an apocalyptic number.

It is an amenable number.

4142213222420 is an abundant number, since it is smaller than the sum of its proper divisors (6563814803308).

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

4142213222420 is a wasteful number, since it uses less digits than its factorization.

4142213222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275941360 (or 2275941358 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4142213222420 its reverse (242223122414), we get a palindrome (4384436344834).

The spelling of 4142213222420 in words is "four trillion, one hundred forty-two billion, two hundred thirteen million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 2275941331 4551882662 9103765324 11379706655 15931589317 22759413310 29587237303 31863178634 45518826620 59174474606 63726357268 79657946585 118348949212 147936186515 159315893170 207110661121 295872373030 318631786340 414221322242 591744746060 828442644484 1035553305605 2071106611210 4142213222420