Search a number
-
+
442313124240 = 243513141767027
BaseRepresentation
bin1100110111110111110…
…10101010100110010000
31120021200120011210102110
412123323322222212100
524221324124433430
6535110145145320
743645634344161
oct6337372524620
91507616153373
10442313124240
11160647255969
127188192b240
133292c9ac670
141759da57768
15b78b4e57b0
hex66fbeaa990

442313124240 has 80 divisors (see below), whose sum is σ = 1476645363648. Its totient is φ = 108877075968.

The previous prime is 442313124229. The next prime is 442313124251. The reversal of 442313124240 is 42421313244.

It is an interprime number because it is at equal distance from previous prime (442313124229) and next prime (442313124251).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 442313124198 and 442313124207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70880394 + ... + 70886633.

Almost surely, 2442313124240 is an apocalyptic number.

442313124240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442313124240 is an abundant number, since it is smaller than the sum of its proper divisors (1034332239408).

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

442313124240 is a wasteful number, since it uses less digits than its factorization.

442313124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141767056 (or 141767050 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 442313124240 its reverse (42421313244), we get a palindrome (484734437484).

The spelling of 442313124240 in words is "four hundred forty-two billion, three hundred thirteen million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 141767027 283534054 425301081 567068108 708835135 850602162 1134136216 1417670270 1701204324 1842971351 2126505405 2268272432 2835340540 3402408648 3685942702 4253010810 5528914053 5670681080 6804817296 7371885404 8506021620 9214856755 11057828106 11341362160 14743770808 17012043240 18429713510 22115656212 27644570265 29487541616 34024086480 36859427020 44231312424 55289140530 73718854040 88462624848 110578281060 147437708080 221156562120 442313124240