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422344423040 = 27516319720551
BaseRepresentation
bin1100010010101011011…
…00000111011010000000
31111101010220112200001112
412021111230013122000
523404430133014130
6522004454422452
742341042235341
oct6112554073200
91441126480045
10422344423040
1115312a464121
1269a2a361a28
1330a99942c37
141662799c0c8
15aebd3ad495
hex6255b07680

422344423040 has 128 divisors (see below), whose sum is σ = 1021067752320. Its totient is φ = 167040921600.

The previous prime is 422344423019. The next prime is 422344423043. The reversal of 422344423040 is 40324443224.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 422344422988 and 422344423006.

It is not an unprimeable number, because it can be changed into a prime (422344423043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20540765 + ... + 20561315.

It is an arithmetic number, because the mean of its divisors is an integer number (7977091815).

Almost surely, 2422344423040 is an apocalyptic number.

422344423040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422344423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510533876160).

422344423040 is an abundant number, since it is smaller than the sum of its proper divisors (598723329280).

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

422344423040 is a wasteful number, since it uses less digits than its factorization.

422344423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20930 (or 20918 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 422344423040 its reverse (40324443224), we get a palindrome (462668866264).

The spelling of 422344423040 in words is "four hundred twenty-two billion, three hundred forty-four million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 163 197 320 326 394 640 652 788 815 985 1304 1576 1630 1970 2608 3152 3260 3940 5216 6304 6520 7880 10432 12608 13040 15760 20551 20864 25216 26080 31520 32111 41102 52160 63040 64222 82204 102755 104320 126080 128444 160555 164408 205510 256888 321110 328816 411020 513776 642220 657632 822040 1027552 1284440 1315264 1644080 2055104 2568880 2630528 3288160 3349813 4048547 4110208 5137760 6576320 6699626 8097094 10275520 13152640 13399252 16194188 16749065 20242735 20551040 26798504 32388376 33498130 40485470 53597008 64776752 66996260 80970940 107194016 129553504 133992520 161941880 214388032 259107008 267985040 323883760 428776064 518214016 535970080 647767520 659913161 1071940160 1295535040 1319826322 2143880320 2591070080 2639652644 3299565805 5279305288 6599131610 10558610576 13198263220 21117221152 26396526440 42234442304 52793052880 84468884608 105586105760 211172211520 422344423040