Search a number
-
+
4223100000420 = 22325730710917481
BaseRepresentation
bin111101011101000100011…
…000000001100010100100
3112221201120002200222210200
4331131010120001202210
51023142402100003140
612552022041150500
7614052232503120
oct75350430014244
915851502628720
104223100000420
111389008944004
1258256b78b430
1324830cb1a7c2
14108583300580
1574cbc3e4030
hex3d7446018a4

4223100000420 has 144 divisors (see below), whose sum is σ = 14687768903808. Its totient is φ = 962135677440.

The previous prime is 4223100000419. The next prime is 4223100000433. The reversal of 4223100000420 is 240000013224.

It is a super-2 number, since 2×42231000004202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4223100000393 and 4223100000402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5071921 + ... + 5845560.

Almost surely, 24223100000420 is an apocalyptic number.

It is an amenable number.

4223100000420 is an abundant number, since it is smaller than the sum of its proper divisors (10464668903388).

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

4223100000420 is a wasteful number, since it uses less digits than its factorization.

4223100000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10917810 (or 10917805 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 4223100000420 its reverse (240000013224), we get a palindrome (4463100013644).

The spelling of 4223100000420 in words is "four trillion, two hundred twenty-three billion, one hundred million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 307 315 420 614 630 921 1228 1260 1535 1842 2149 2763 3070 3684 4298 4605 5526 6140 6447 8596 9210 10745 11052 12894 13815 18420 19341 21490 25788 27630 32235 38682 42980 55260 64470 77364 96705 128940 193410 386820 10917481 21834962 32752443 43669924 54587405 65504886 76422367 98257329 109174810 131009772 152844734 163762215 196514658 218349620 229267101 305689468 327524430 382111835 393029316 458534202 491286645 655048860 687801303 764223670 917068404 982573290 1146335505 1375602606 1528447340 1965146580 2292671010 2751205212 3351666667 3439006515 4585342020 6703333334 6878013030 10055000001 13406666668 13756026060 16758333335 20110000002 23461666669 30165000003 33516666670 40220000004 46923333338 50275000005 60330000006 67033333340 70385000007 93846666676 100550000010 117308333345 120660000012 140770000014 150825000015 201100000020 211155000021 234616666690 281540000028 301650000030 351925000035 422310000042 469233333380 603300000060 703850000070 844620000084 1055775000105 1407700000140 2111550000210 4223100000420