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41009473045332 = 223211421613401279
BaseRepresentation
bin10010101001100010000110…
…00100101100001101010100
312101012110121200120000000100
421110301003010230031110
520333344400044422312
6223115254123014100
711431556654254521
oct1124610304541524
9171173550500010
1041009473045332
1112081024468150
124723ab166a330
1319b623b31b86c
14a1ac24ab4148
154b1b3ce515dc
hex254c4312c354

41009473045332 has 144 divisors (see below), whose sum is σ = 113540545198080. Its totient is φ = 12377339654400.

The previous prime is 41009473045319. The next prime is 41009473045351. The reversal of 41009473045332 is 23354037490014.

41009473045332 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 9 + 4 + 7 + 304 + 5 + 332 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101996269 + ... + 102397547.

It is an arithmetic number, because the mean of its divisors is an integer number (788476008320).

Almost surely, 241009473045332 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 41009473045332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56770272599040).

41009473045332 is an abundant number, since it is smaller than the sum of its proper divisors (72531072152748).

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

41009473045332 is a wasteful number, since it uses less digits than its factorization.

41009473045332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402334 (or 402329 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 41009473045332 in words is "forty-one trillion, nine billion, four hundred seventy-three million, forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 421 613 842 1226 1263 1684 1839 2452 2526 3678 3789 4631 5052 5517 6743 7356 7578 9262 11034 13486 13893 15156 18524 20229 22068 26972 27786 40458 41679 55572 60687 80916 83358 121374 166716 242748 258073 401279 516146 774219 802558 1032292 1203837 1548438 1605116 2322657 2407674 2838803 3096876 3611511 4414069 4645314 4815348 5677606 7223022 8516409 8828138 9290628 11355212 13242207 14446044 17032818 17656276 25549227 26484414 34065636 39726621 51098454 52968828 79453242 102196908 158906484 168938459 245984027 337876918 491968054 506815377 675753836 737952081 983936108 1013630754 1475904162 1520446131 1858323049 2027261508 2213856243 2705824297 2951808324 3040892262 3716646098 4427712486 5411648594 5574969147 6081784524 7433292196 8117472891 8855424972 10823297188 11149938294 16234945782 16724907441 22299876588 24352418673 32469891564 33449814882 48704837346 66899629764 97409674692 103559275367 207118550734 310677826101 414237101468 621355652202 932033478303 1139152029037 1242711304404 1864066956606 2278304058074 3417456087111 3728133913212 4556608116148 6834912174222 10252368261333 13669824348444 20504736522666 41009473045332