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41505414728 = 231721922232
BaseRepresentation
bin100110101001111010…
…100101111001001000
310222010120202112021112
4212221322211321020
51140000341232403
631022313025452
72666354130011
oct465172457110
9128116675245
1041505414728
11166697a7448
1280640b5288
133bb5c1c2cb
14201a4c0008
15112dc509d8
hex9a9ea5e48

41505414728 has 108 divisors (see below), whose sum is σ = 87642788265. Its totient is φ = 18420984576.

The previous prime is 41505414721. The next prime is 41505414751. The reversal of 41505414728 is 82741450514.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

41505414728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37986789604 + 3518625124 = 194902^2 + 59318^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=144058.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41505414721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 186122825 + ... + 186123047.

Almost surely, 241505414728 is an apocalyptic number.

It is an amenable number.

41505414728 is an abundant number, since it is smaller than the sum of its proper divisors (46137373537).

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

41505414728 is a wasteful number, since it uses less digits than its factorization.

41505414728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 41.

The spelling of 41505414728 in words is "forty-one billion, five hundred five million, four hundred fourteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 17 19 34 38 68 76 136 152 223 289 323 361 446 578 646 722 892 1156 1292 1444 1784 2312 2584 2888 3791 4237 5491 6137 7582 8474 10982 12274 15164 16948 21964 24548 30328 33896 43928 49096 49729 64447 72029 80503 99458 104329 128894 144058 161006 198916 208658 257788 288116 322012 397832 417316 515576 576232 644024 834632 845393 944851 1224493 1368551 1690786 1889702 2448986 2737102 3381572 3779404 4897972 5474204 6763144 7558808 9795944 10948408 14371681 16062467 17952169 23265367 28743362 32124934 35904338 46530734 57486724 64249868 71808676 93061468 114973448 128499736 143617352 186122936 273061939 305186873 546123878 610373746 1092247756 1220747492 2184495512 2441494984 5188176841 10376353682 20752707364 41505414728