Search a number
-
+
420124212456 = 233131797816587
BaseRepresentation
bin1100001110100010101…
…10101011110011101000
31111011102011211021200220
412013101112223303220
523340403244244311
6521000303530040
742232032612234
oct6072126536350
91434364737626
10420124212456
111521a0190043
126950a8b9920
1330804986370
1416496b7d5c4
15addd4ed206
hex61d15abce8

420124212456 has 128 divisors (see below), whose sum is σ = 1209987434880. Its totient is φ = 120410505216.

The previous prime is 420124212437. The next prime is 420124212499. The reversal of 420124212456 is 654212421024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106195 + ... + 922781.

It is an arithmetic number, because the mean of its divisors is an integer number (9453026835).

Almost surely, 2420124212456 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 420124212456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604993717440).

420124212456 is an abundant number, since it is smaller than the sum of its proper divisors (789863222424).

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

420124212456 is a wasteful number, since it uses less digits than its factorization.

420124212456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816723 (or 816719 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 420124212456 in words is "four hundred twenty billion, one hundred twenty-four million, two hundred twelve thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 97 102 104 136 156 194 204 221 291 312 388 408 442 582 663 776 884 1164 1261 1326 1649 1768 2328 2522 2652 3298 3783 4947 5044 5304 6596 7566 9894 10088 13192 15132 19788 21437 30264 39576 42874 64311 85748 128622 171496 257244 514488 816587 1633174 2449761 3266348 4899522 6532696 9799044 10615631 13881979 19598088 21231262 27763958 31846893 41645937 42462524 55527916 63693786 79208939 83291874 84925048 111055832 127387572 158417878 166583748 180465727 237626817 254775144 316835756 333167496 360931454 475253634 541397181 633671512 721862908 950507268 1029716207 1082794362 1346551963 1443725816 1901014536 2059432414 2165588724 2693103926 3089148621 4039655889 4118864828 4331177448 5386207852 6178297242 8079311778 8237729656 10772415704 12356594484 16158623556 17505175519 24713188968 32317247112 35010351038 52515526557 70020702076 105031053114 140041404152 210062106228 420124212456