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41522340416 = 2631712811049
BaseRepresentation
bin100110101010111011…
…001010001001000000
310222011202121102221212
4212222323022021000
51140014204343131
631024115505252
72666651033024
oct465273121100
9128152542855
1041522340416
1116678307a17
1280698b8228
133bb95972cb
14201c848384
151130495a2b
hex9aaeca240

41522340416 has 112 divisors (see below), whose sum is σ = 86641228800. Its totient is φ = 19719168000.

The previous prime is 41522340371. The next prime is 41522340443. The reversal of 41522340416 is 61404322514.

It is a super-3 number, since 3×415223404163 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39582260 + ... + 39583308.

It is an arithmetic number, because the mean of its divisors is an integer number (773582400).

Almost surely, 241522340416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41522340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43320614400).

41522340416 is an abundant number, since it is smaller than the sum of its proper divisors (45118888384).

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

41522340416 is a wasteful number, since it uses less digits than its factorization.

41522340416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 41522340416 in words is "forty-one billion, five hundred twenty-two million, three hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 71 124 142 248 281 284 496 562 568 992 1049 1124 1136 1984 2098 2201 2248 2272 4196 4402 4496 4544 8392 8711 8804 8992 16784 17422 17608 17984 19951 32519 33568 34844 35216 39902 65038 67136 69688 70432 74479 79804 130076 139376 140864 148958 159608 260152 278752 294769 297916 319216 520304 557504 589538 595832 618481 638432 1040608 1179076 1191664 1236962 1276864 2081216 2308849 2358152 2383328 2473924 4617698 4716304 4766656 4947848 9137839 9235396 9432608 9895696 18275678 18470792 18865216 19791392 20928599 36551356 36941584 39582784 41857198 73102712 73883168 83714396 146205424 147766336 167428792 292410848 334857584 584821696 648786569 669715168 1297573138 1339430336 2595146276 5190292552 10380585104 20761170208 41522340416