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42480273240 = 23325118000759
BaseRepresentation
bin100111100100000001…
…011000011101011000
311001122112010110202100
4213210001120131120
51143444422220430
631303135403400
73032462236056
oct474401303530
9131575113670
1042480273240
111701a009039
128296683560
13400cb95a72
1420adb651d6
151189617960
hex9e4058758

42480273240 has 48 divisors (see below), whose sum is σ = 138060889200. Its totient is φ = 11328072768.

The previous prime is 42480273239. The next prime is 42480273257. The reversal of 42480273240 is 4237208424.

It is a super-2 number, since 2×424802732402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42480273195 and 42480273204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59000020 + ... + 59000739.

It is an arithmetic number, because the mean of its divisors is an integer number (2876268525).

Almost surely, 242480273240 is an apocalyptic number.

42480273240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42480273240 is an abundant number, since it is smaller than the sum of its proper divisors (95580615960).

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

42480273240 is a wasteful number, since it uses less digits than its factorization.

42480273240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118000776 (or 118000769 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 42480273240 in words is "forty-two billion, four hundred eighty million, two hundred seventy-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 118000759 236001518 354002277 472003036 590003795 708004554 944006072 1062006831 1180007590 1416009108 1770011385 2124013662 2360015180 2832018216 3540022770 4248027324 4720030360 5310034155 7080045540 8496054648 10620068310 14160091080 21240136620 42480273240