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41417151426440 = 2352963432780761
BaseRepresentation
bin10010110101011001011101…
…00110010010111110001000
312102122102220111100112201122
421122230232212102332020
520412034311231121230
6224030435433334412
711503201423315346
oct1132545646227610
9172572814315648
1041417151426440
1112218a08267959
12478ab08267408
131a1580b672c7a
14a3285a940996
154bc54d9b5be5
hex25ab2e992f88

41417151426440 has 64 divisors (see below), whose sum is σ = 93242739807360. Its totient is φ = 16557236881920.

The previous prime is 41417151426437. The next prime is 41417151426449. The reversal of 41417151426440 is 4462415171414.

41417151426440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41417151426391 and 41417151426400.

It is not an unprimeable number, because it can be changed into a prime (41417151426449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512795660 + ... + 512876420.

It is an arithmetic number, because the mean of its divisors is an integer number (1456917809490).

Almost surely, 241417151426440 is an apocalyptic number.

41417151426440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41417151426440 is an abundant number, since it is smaller than the sum of its proper divisors (51825588380920).

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

41417151426440 is a wasteful number, since it uses less digits than its factorization.

41417151426440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88062 (or 88058 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

Adding to 41417151426440 its reverse (4462415171414), we get a palindrome (45879566597854).

The spelling of 41417151426440 in words is "forty-one trillion, four hundred seventeen billion, one hundred fifty-one million, four hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2963 4327 5926 8654 11852 14815 17308 21635 23704 29630 34616 43270 59260 80761 86540 118520 161522 173080 323044 403805 646088 807610 1615220 3230440 12820901 25641802 51283604 64104505 102567208 128209010 239294843 256418020 349452847 478589686 512836040 698905694 957179372 1196474215 1397811388 1747264235 1914358744 2392948430 2795622776 3494528470 4785896860 6989056940 9571793720 13978113880 1035428785661 2070857571322 4141715142644 5177143928305 8283430285288 10354287856610 20708575713220 41417151426440