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4142004222420 = 22325109147210827
BaseRepresentation
bin111100010001100010101…
…100001011100111010100
3112122222020101200121222100
4330101202230023213110
51020330311040104140
612450451021202100
7605151503661351
oct74214254134724
915588211617870
104142004222420
111357683446779
1256a8b8a00330
1324078798294c
1410468cc05628
1572b22b25530
hex3c462b0b9d4

4142004222420 has 72 divisors (see below), whose sum is σ = 12564254181024. Its totient is φ = 1104519100608.

The previous prime is 4142004222373. The next prime is 4142004222439. The reversal of 4142004222420 is 242224002414.

4142004222420 is a `hidden beast` number, since 4 + 14 + 2 + 0 + 0 + 4 + 222 + 420 = 666.

It is a super-4 number, since 4×41420042224204 (a number of 52 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19541047 + ... + 19751873.

It is an arithmetic number, because the mean of its divisors is an integer number (174503530292).

Almost surely, 24142004222420 is an apocalyptic number.

It is an amenable number.

4142004222420 is an abundant number, since it is smaller than the sum of its proper divisors (8422249958604).

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

4142004222420 is a wasteful number, since it uses less digits than its factorization.

4142004222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319989 (or 319984 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4142004222420 its reverse (242224002414), we get a palindrome (4384228224834).

The spelling of 4142004222420 in words is "four trillion, one hundred forty-two billion, four million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 109147 210827 218294 327441 421654 436588 545735 632481 654882 843308 982323 1054135 1091470 1264962 1309764 1637205 1897443 1964646 2108270 2182940 2529924 3162405 3274410 3794886 3929292 4216540 4911615 6324810 6548820 7589772 9487215 9823230 12649620 18974430 19646460 37948860 23011134569 46022269138 69033403707 92044538276 115055672845 138066807414 207100211121 230111345690 276133614828 345167018535 414200422242 460222691380 690334037070 828400844484 1035501055605 1380668074140 2071002111210 4142004222420