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442530412240 = 24571746484287
BaseRepresentation
bin1100111000010001101…
…11100011011011010000
31120022020201001011112011
412130020313203123100
524222300241142430
6535143510312304
743654213303660
oct6341067433320
91508221034464
10442530412240
11160748976624
1271922658694
1332965a0a847
14175c085a1a0
15b7a061722a
hex6708de36d0

442530412240 has 80 divisors (see below), whose sum is σ = 1245035169792. Its totient is φ = 142799726592.

The previous prime is 442530412217. The next prime is 442530412241. The reversal of 442530412240 is 42214035244.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442530412241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23232624 + ... + 23251663.

Almost surely, 2442530412240 is an apocalyptic number.

442530412240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442530412240 is an abundant number, since it is smaller than the sum of its proper divisors (802504757552).

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

442530412240 is a wasteful number, since it uses less digits than its factorization.

442530412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46484324 (or 46484318 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 442530412240 its reverse (42214035244), we get a palindrome (484744447484).

The spelling of 442530412240 in words is "four hundred forty-two billion, five hundred thirty million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520 46484287 92968574 185937148 232421435 325390009 371874296 464842870 650780018 743748592 790232879 929685740 1301560036 1580465758 1626950045 1859371480 2603120072 3160931516 3253900090 3718742960 3951164395 5206240144 5531630153 6321863032 6507800180 7902328790 11063260306 12643726064 13015600360 15804657580 22126520612 26031200720 27658150765 31609315160 44253041224 55316301530 63218630320 88506082448 110632603060 221265206120 442530412240