Search a number
-
+
41521106440 = 23511273117517
BaseRepresentation
bin100110101010110110…
…011100111000001000
310222011200021202021001
4212222312130320020
51140013400401230
631024033224344
72666634403312
oct465266347010
9128150252231
1041521106440
1116677644900
1280694020b4
133bb9254748
14201c6067b2
1511303000ca
hex9aad9ce08

41521106440 has 96 divisors (see below), whose sum is σ = 104095094040. Its totient is φ = 14891627520.

The previous prime is 41521106437. The next prime is 41521106449. The reversal of 41521106440 is 4460112514.

It can be written as a sum of positive squares in 4 ways, for example, as 27465107076 + 14055999364 = 165726^2 + 118558^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41521106399 and 41521106408.

It is not an unprimeable number, because it can be changed into a prime (41521106449) by changing a digit.

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, 294562 + ... + 412078.

Almost surely, 241521106440 is an apocalyptic number.

41521106440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41521106440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52047547020).

41521106440 is an abundant number, since it is smaller than the sum of its proper divisors (62573987600).

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

41521106440 is a wasteful number, since it uses less digits than its factorization.

41521106440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117623 (or 117608 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 41521106440 its reverse (4460112514), we get a palindrome (45981218954).

The spelling of 41521106440 in words is "forty-one billion, five hundred twenty-one million, one hundred six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 121 146 220 242 292 365 440 484 584 605 730 803 968 1210 1460 1606 2420 2920 3212 4015 4840 6424 8030 8833 16060 17666 32120 35332 44165 70664 88330 117517 176660 235034 353320 470068 587585 940136 1175170 1292687 2350340 2585374 4700680 5170748 6463435 8578741 10341496 12926870 14219557 17157482 25853740 28439114 34314964 42893705 51707480 56878228 68629928 71097785 85787410 94366151 113756456 142195570 171574820 188732302 284391140 343149640 377464604 471830755 568782280 754929208 943661510 1038027661 1887323020 2076055322 3774646040 4152110644 5190138305 8304221288 10380276610 20760553220 41521106440