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7414068420 = 223251130712197
BaseRepresentation
bin1101110011110100…
…11011010011000100
3201010200212200212200
412321322123103010
5110141000142140
63223405114500
7351504353553
oct67172332304
921120780780
107414068420
113165059380
12152ab58a30
13912031b45
14504943d9a
152d5d5b030
hex1b9e9b4c4

7414068420 has 144 divisors (see below), whose sum is σ = 24615759168. Its totient is φ = 1791348480.

The previous prime is 7414068367. The next prime is 7414068427. The reversal of 7414068420 is 248604147.

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

It is not an unprimeable number, because it can be changed into a prime (7414068427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601762 + ... + 613958.

It is an arithmetic number, because the mean of its divisors is an integer number (170942772).

Almost surely, 27414068420 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 7414068420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12307879584).

7414068420 is an abundant number, since it is smaller than the sum of its proper divisors (17201690748).

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

7414068420 is a wasteful number, since it uses less digits than its factorization.

7414068420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12530 (or 12525 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 7414068420 is about 86104.9848731187. The cubic root of 7414068420 is about 1949.9292913217.

The spelling of 7414068420 in words is "seven billion, four hundred fourteen million, sixty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 307 330 396 495 614 660 921 990 1228 1535 1842 1980 2763 3070 3377 3684 4605 5526 6140 6754 9210 10131 11052 12197 13508 13815 16885 18420 20262 24394 27630 30393 33770 36591 40524 48788 50655 55260 60786 60985 67540 73182 101310 109773 121572 121970 134167 146364 151965 182955 202620 219546 243940 268334 303930 365910 402501 439092 536668 548865 607860 670835 731820 805002 1097730 1207503 1341670 1610004 2012505 2195460 2415006 2683340 3744479 4025010 4830012 6037515 7488958 8050020 11233437 12075030 14977916 18722395 22466874 24150060 33700311 37444790 41189269 44933748 56167185 67400622 74889580 82378538 112334370 123567807 134801244 164757076 168501555 205946345 224668740 247135614 337003110 370703421 411892690 494271228 617839035 674006220 741406842 823785380 1235678070 1482813684 1853517105 2471356140 3707034210 7414068420