Search a number
-
+
442420112120 = 23572317281437
BaseRepresentation
bin1100111000000100100…
…10110010101011111000
31120021222000111100012112
412130002102302223320
524222034022041440
6535124530231452
743651403622200
oct6340222625370
91507860440175
10442420112120
111606a168a4a8
12718b1725588
1332948bcb9bc
14175add47400
15b795aca965
hex67024b2af8

442420112120 has 96 divisors (see below), whose sum is σ = 1195320862080. Its totient is φ = 146793749760.

The previous prime is 442420112119. The next prime is 442420112137. The reversal of 442420112120 is 21211024244.

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, 3579959 + ... + 3701478.

It is an arithmetic number, because the mean of its divisors is an integer number (12451258980).

Almost surely, 2442420112120 is an apocalyptic number.

442420112120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442420112120 is an abundant number, since it is smaller than the sum of its proper divisors (752900749960).

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

442420112120 is a wasteful number, since it uses less digits than its factorization.

442420112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7281493 (or 7281482 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 442420112120 its reverse (21211024244), we get a palindrome (463631136364).

The spelling of 442420112120 in words is "four hundred forty-two billion, four hundred twenty million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 49 56 62 70 98 124 140 155 196 217 245 248 280 310 392 434 490 620 868 980 1085 1240 1519 1736 1960 2170 3038 4340 6076 7595 8680 12152 15190 30380 60760 7281437 14562874 29125748 36407185 50970059 58251496 72814370 101940118 145628740 203880236 225724547 254850295 291257480 356790413 407760472 451449094 509700590 713580826 902898188 1019401180 1128622735 1427161652 1580071829 1783952065 1805796376 2038802360 2257245470 2854323304 3160143658 3567904130 4514490940 6320287316 7135808260 7900359145 9028981880 11060502803 12640574632 14271616520 15800718290 22121005606 31601436580 44242011212 55302514015 63202873160 88484022424 110605028030 221210056060 442420112120