Search a number
-
+
42468355080 = 2334513107517
BaseRepresentation
bin100111100011010011…
…111010110000001000
311001121200200222010000
4213203103322300020
51143433344330310
631302032123000
73032256030204
oct474323726010
9131550628100
1042468355080
1117013308818
128292696460
13400a5820b8
1420ac341b04
1511885614c0
hex9e34fac08

42468355080 has 80 divisors (see below), whose sum is σ = 142740871020. Its totient is φ = 11324893824.

The previous prime is 42468355079. The next prime is 42468355091. The reversal of 42468355080 is 8055386424.

It can be written as a sum of positive squares in 2 ways, for example, as 41232551364 + 1235803716 = 203058^2 + 35154^2 .

It is a super-2 number, since 2×424683550802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 19 ways as a sum of consecutive naturals, for example, 6550519 + ... + 6556998.

Almost surely, 242468355080 is an apocalyptic number.

42468355080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42468355080 is an abundant number, since it is smaller than the sum of its proper divisors (100272515940).

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

42468355080 is a wasteful number, since it uses less digits than its factorization.

42468355080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13107540 (or 13107527 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 42468355080 in words is "forty-two billion, four hundred sixty-eight million, three hundred fifty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 13107517 26215034 39322551 52430068 65537585 78645102 104860136 117967653 131075170 157290204 196612755 235935306 262150340 314580408 353902959 393225510 471870612 524300680 589838265 707805918 786451020 943741224 1061708877 1179676530 1415611836 1572902040 1769514795 2123417754 2359353060 2831223672 3539029590 4246835508 4718706120 5308544385 7078059180 8493671016 10617088770 14156118360 21234177540 42468355080