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4133441040 = 243573235927
BaseRepresentation
bin1111011001011111…
…0100111000010000
3101200001210120010220
43312113310320100
531431130103130
61522053553040
7204300445341
oct36627647020
911601716126
104133441040
111831246483
12974345780
1350b473501
142b2d6c0c8
15192d33410
hexf65f4e10

4133441040 has 80 divisors (see below), whose sum is σ = 12989251968. Its totient is φ = 1087147008.

The previous prime is 4133441029. The next prime is 4133441063. The reversal of 4133441040 is 401443314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4133441040.

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 15 ways as a sum of consecutive naturals, for example, 100444 + ... + 135483.

Almost surely, 24133441040 is an apocalyptic number.

4133441040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4133441040 is an abundant number, since it is smaller than the sum of its proper divisors (8855810928).

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

4133441040 is a wasteful number, since it uses less digits than its factorization.

4133441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236016 (or 236010 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4133441040 is about 64291.8427174086. The cubic root of 4133441040 is about 1604.8603560535.

Adding to 4133441040 its reverse (401443314), we get a palindrome (4534884354).

The spelling of 4133441040 in words is "four billion, one hundred thirty-three million, four hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 8760 17520 235927 471854 707781 943708 1179635 1415562 1887416 2359270 2831124 3538905 3774832 4718540 5662248 7077810 9437080 11324496 14155620 17222671 18874160 28311240 34445342 51668013 56622480 68890684 86113355 103336026 137781368 172226710 206672052 258340065 275562736 344453420 413344104 516680130 688906840 826688208 1033360260 1377813680 2066720520 4133441040