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41403430440 = 23325731575473
BaseRepresentation
bin100110100011110101…
…100011011000101000
310221212110212012010200
4212203311203120220
51134243234233230
631004231112200
72664005231511
oct464365433050
9127773765120
1041403430440
1116617180109
128035b12660
133b9aa62588
14200ab33a08
151124d08160
hex9a3d63628

41403430440 has 96 divisors (see below), whose sum is σ = 136404538920. Its totient is φ = 10889662464.

The previous prime is 41403430429. The next prime is 41403430501. The reversal of 41403430440 is 4403430414.

It can be written as a sum of positive squares in 4 ways, for example, as 23576374116 + 17827056324 = 153546^2 + 133518^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 761457 + ... + 814016.

Almost surely, 241403430440 is an apocalyptic number.

41403430440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41403430440 is an abundant number, since it is smaller than the sum of its proper divisors (95001108480).

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

41403430440 is a wasteful number, since it uses less digits than its factorization.

41403430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575563 (or 1575556 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 41403430440 its reverse (4403430414), we get a palindrome (45806860854).

The spelling of 41403430440 in words is "forty-one billion, four hundred three million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 26280 1575473 3150946 4726419 6301892 7877365 9452838 12603784 14179257 15754730 18905676 23632095 28358514 31509460 37811352 47264190 56717028 63018920 70896285 94528380 113434056 115009529 141792570 189056760 230019058 283585140 345028587 460038116 567170280 575047645 690057174 920076232 1035085761 1150095290 1380114348 1725142935 2070171522 2300190580 2760228696 3450285870 4140343044 4600381160 5175428805 6900571740 8280686088 10350857610 13801143480 20701715220 41403430440