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42325242120 = 2333575598577
BaseRepresentation
bin100111011010110001…
…111111000100001000
311001020201102002001000
4213122301333010020
51143140230221440
631235520455000
73025600423230
oct473261770410
9131221362030
1042325242120
1116a4a54a947
12825277a460
133cb6a24b85
14209732acc0
15117abe2730
hex9dac7f108

42325242120 has 128 divisors (see below), whose sum is σ = 161239046400. Its totient is φ = 9674339328.

The previous prime is 42325242109. The next prime is 42325242217. The reversal of 42325242120 is 2124252324.

42325242120 is a `hidden beast` number, since 4 + 232 + 5 + 2 + 421 + 2 + 0 = 666.

42325242120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×423252421202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2791729 + ... + 2806848.

It is an arithmetic number, because the mean of its divisors is an integer number (1259680050).

Almost surely, 242325242120 is an apocalyptic number.

42325242120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42325242120 is an abundant number, since it is smaller than the sum of its proper divisors (118913804280).

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

42325242120 is a wasteful number, since it uses less digits than its factorization.

42325242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5598604 (or 5598594 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 42325242120 its reverse (2124252324), we get a palindrome (44449494444).

The spelling of 42325242120 in words is "forty-two billion, three hundred twenty-five million, two hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 5598577 11197154 16795731 22394308 27992885 33591462 39190039 44788616 50387193 55985770 67182924 78380078 83978655 100774386 111971540 117570117 134365848 151161579 156760156 167957310 195950195 201548772 223943080 235140234 251935965 302323158 313520312 335914620 352710351 391900390 403097544 470280468 503871930 587850585 604646316 671829240 705420702 755807895 783800780 940560936 1007743860 1058131053 1175701170 1209292632 1410841404 1511615790 1567601560 1763551755 2015487720 2116262106 2351402340 2821682808 3023231580 3527103510 4232524212 4702804680 5290655265 6046463160 7054207020 8465048424 10581310530 14108414040 21162621060 42325242120