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42004422422460 = 22335208137379129
BaseRepresentation
bin10011000110011111010101…
…01011010110111110111100
312111201120202102100012102000
421203033222223112332330
521001200024120004320
6225200322033102300
711563501513365531
oct1143175253267674
9174646672305360
1042004422422460
1112424a8044a353
1248648a40b7990
131a59000112a54
14a5304c43cd88
154cc9710b1c90
hex2633eaad6fbc

42004422422460 has 96 divisors (see below), whose sum is σ = 130743225748800. Its totient is φ = 11195796418560.

The previous prime is 42004422422401. The next prime is 42004422422461. The reversal of 42004422422460 is 6422422440024.

42004422422460 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 4 + 422 + 4 + 224 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42004422422461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17565825 + ... + 19813304.

It is an arithmetic number, because the mean of its divisors is an integer number (1361908601550).

Almost surely, 242004422422460 is an apocalyptic number.

It is an amenable number.

42004422422460 is an abundant number, since it is smaller than the sum of its proper divisors (88738803326340).

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

42004422422460 is a wasteful number, since it uses less digits than its factorization.

42004422422460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37381228 (or 37381220 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 42004422422460 its reverse (6422422440024), we get a palindrome (48426844862484).

The spelling of 42004422422460 in words is "forty-two trillion, four billion, four hundred twenty-two million, four hundred twenty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2081 4162 6243 8324 10405 12486 18729 20810 24972 31215 37458 41620 56187 62430 74916 93645 112374 124860 187290 224748 280935 374580 561870 1123740 37379129 74758258 112137387 149516516 186895645 224274774 336412161 373791290 448549548 560686935 672824322 747582580 1009236483 1121373870 1345648644 1682060805 2018472966 2242747740 3364121610 4036945932 5046182415 6728243220 10092364830 20184729660 77785967449 155571934898 233357902347 311143869796 388929837245 466715804694 700073707041 777859674490 933431609388 1166789511735 1400147414082 1555719348980 2100221121123 2333579023470 2800294828164 3500368535205 4200442242246 4667158046940 7000737070410 8400884484492 10501105605615 14001474140820 21002211211230 42004422422460