Search a number
-
+
42160025424 = 24311555714369
BaseRepresentation
bin100111010000111011…
…101110111101010000
311000211012112012100010
4213100323232331100
51142320431303144
631211255354520
73021523206006
oct472073567520
9130735465303
1042160025424
1116975265120
128207382a40
133c8b728b0a
14207d400a76
15116b4595b9
hex9d0eeef50

42160025424 has 80 divisors (see below), whose sum is σ = 118844268480. Its totient is φ = 12772577280.

The previous prime is 42160025407. The next prime is 42160025429. The reversal of 42160025424 is 42452006124.

It is a junction number, because it is equal to n+sod(n) for n = 42160025391 and 42160025400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42160025429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2926912 + ... + 2941280.

It is an arithmetic number, because the mean of its divisors is an integer number (1485553356).

Almost surely, 242160025424 is an apocalyptic number.

42160025424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42160025424 is an abundant number, since it is smaller than the sum of its proper divisors (76684243056).

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

42160025424 is a wasteful number, since it uses less digits than its factorization.

42160025424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19948 (or 19942 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 42160025424 in words is "forty-two billion, one hundred sixty million, twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 5557 11114 14369 16671 22228 28738 33342 43107 44456 57476 61127 66684 86214 88912 114952 122254 133368 158059 172428 183381 229904 244508 266736 316118 344856 366762 474177 489016 632236 689712 733524 948354 978032 1264472 1467048 1896708 2528944 2934096 3793416 7586832 79848533 159697066 239545599 319394132 479091198 638788264 878333863 958182396 1277576528 1756667726 1916364792 2635001589 3513335452 3832729584 5270003178 7026670904 10540006356 14053341808 21080012712 42160025424