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41433214440 = 2335734729819
BaseRepresentation
bin100110100101100111…
…001010110111101000
310221221112220101002210
4212211213022313220
51134323400330230
631011213325120
72664516340362
oct464547126750
9127845811083
1041433214440
1116631a73292
128043a967a0
133ba3c90147
142010a87d32
15112773ceb0
hex9a59cade8

41433214440 has 64 divisors (see below), whose sum is σ = 126002404800. Its totient is φ = 10897500672.

The previous prime is 41433214423. The next prime is 41433214463. The reversal of 41433214440 is 4441233414.

It is a super-2 number, since 2×414332144402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41433214398 and 41433214407.

It is an unprimeable number.

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, 2356150 + ... + 2373669.

It is an arithmetic number, because the mean of its divisors is an integer number (1968787575).

Almost surely, 241433214440 is an apocalyptic number.

41433214440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41433214440 is an abundant number, since it is smaller than the sum of its proper divisors (84569190360).

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

41433214440 is a wasteful number, since it uses less digits than its factorization.

41433214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4729906 (or 4729902 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 41433214440 its reverse (4441233414), we get a palindrome (45874447854).

The spelling of 41433214440 in words is "forty-one billion, four hundred thirty-three million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 4729819 9459638 14189457 18919276 23649095 28378914 37838552 47298190 56757828 70947285 94596380 113515656 141894570 189192760 283789140 345276787 567578280 690553574 1035830361 1381107148 1726383935 2071660722 2762214296 3452767870 4143321444 5179151805 6905535740 8286642888 10358303610 13811071480 20716607220 41433214440