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440401125341344 = 25412071911620107
BaseRepresentation
bin110010000100010101110000…
…0101000100111100010100000
32010202022221021122021202120011
41210020223200220213202200
5430211013001041410334
64200353252311254304
7161522634303106546
oct14410534050474240
92122287248252504
10440401125341344
11118364083026732
124148883197a394
1315b97856637bab
147aa775753dd96
1535dac9d433564
hex1908ae0a278a0

440401125341344 has 48 divisors (see below), whose sum is σ = 888191860683456. Its totient is φ = 214828647769600.

The previous prime is 440401125341329. The next prime is 440401125341357. The reversal of 440401125341344 is 443143521104044.

It is a junction number, because it is equal to n+sod(n) for n = 440401125341297 and 440401125341306.

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, 271024539 + ... + 272644645.

It is an arithmetic number, because the mean of its divisors is an integer number (18503997097572).

Almost surely, 2440401125341344 is an apocalyptic number.

It is an amenable number.

440401125341344 is an abundant number, since it is smaller than the sum of its proper divisors (447790735342112).

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

440401125341344 is a wasteful number, since it uses less digits than its factorization.

440401125341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827349 (or 1827341 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

Adding to 440401125341344 its reverse (443143521104044), we get a palindrome (883544646445388).

The spelling of 440401125341344 in words is "four hundred forty trillion, four hundred one billion, one hundred twenty-five million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 207191 414382 828764 1620107 1657528 3240214 3315056 6480428 6630112 8494831 12960856 16989662 25921712 33979324 51843424 66424387 67958648 132848774 135917296 265697548 271834592 531395096 1062790192 2125580384 335671589437 671343178874 1342686357748 2685372715496 5370745430992 10741490861984 13762535166917 27525070333834 55050140667668 110100281335336 220200562670672 440401125341344