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422440401440 = 25519713402297
BaseRepresentation
bin1100010010110110110…
…10001111101000100000
31111101101121010212200002
412021123122033220200
523410124220321230
6522022203515132
742343316110631
oct6113332175040
91441347125602
10422440401440
11153179659112
1269a56528aa8
1330ab37a90a5
1416636623888
15aec6a1b545
hex625b68fa20

422440401440 has 48 divisors (see below), whose sum is σ = 1003081591512. Its totient is φ = 168118401024.

The previous prime is 422440401421. The next prime is 422440401457. The reversal of 422440401440 is 44104044224.

It can be written as a sum of positive squares in 4 ways, for example, as 383522581264 + 38917820176 = 619292^2 + 197276^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6669629 + ... + 6732668.

Almost surely, 2422440401440 is an apocalyptic number.

422440401440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422440401440 is an abundant number, since it is smaller than the sum of its proper divisors (580641190072).

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

422440401440 is a wasteful number, since it uses less digits than its factorization.

422440401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13402509 (or 13402501 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 422440401440 its reverse (44104044224), we get a palindrome (466544445664).

The spelling of 422440401440 in words is "four hundred twenty-two billion, four hundred forty million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 197 394 788 985 1576 1970 3152 3940 6304 7880 15760 31520 13402297 26804594 53609188 67011485 107218376 134022970 214436752 268045940 428873504 536091880 1072183760 2144367520 2640252509 5280505018 10561010036 13201262545 21122020072 26402525090 42244040144 52805050180 84488080288 105610100360 211220200720 422440401440