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41124010404114 = 232111861306736389
BaseRepresentation
bin10010101100110111011100…
…00010000010100100010010
312101121102020222210200111200
421112123232002002210102
520342233433130412424
6223244035400052030
711443053212613321
oct1126335602024422
9171542228720450
1041124010404114
111211565a855050
124742137a64016
1319c3c92872841
14a225ac72a0b8
154b4ae35668c9
hex2566ee082912

41124010404114 has 96 divisors (see below), whose sum is σ = 97288821040320. Its totient is φ = 12450721852800.

The previous prime is 41124010404101. The next prime is 41124010404121. The reversal of 41124010404114 is 41140401042114.

41124010404114 is a `hidden beast` number, since 4 + 1 + 1 + 240 + 1 + 0 + 4 + 0 + 411 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1130103832 + ... + 1130140220.

It is an arithmetic number, because the mean of its divisors is an integer number (1013425219170).

Almost surely, 241124010404114 is an apocalyptic number.

41124010404114 is an abundant number, since it is smaller than the sum of its proper divisors (56164810636206).

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

41124010404114 is a wasteful number, since it uses less digits than its factorization.

41124010404114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41336 (or 41333 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 41124010404114 its reverse (41140401042114), we get a palindrome (82264411446228).

The spelling of 41124010404114 in words is "forty-one trillion, one hundred twenty-four billion, ten million, four hundred four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1861 3067 3722 5583 6134 9201 11166 16749 18402 20471 27603 33498 33737 36389 40942 55206 61413 67474 72778 101211 109167 122826 184239 202422 218334 303633 327501 368478 400279 607266 655002 800558 1200837 2401674 3602511 5707687 7205022 11415374 17123061 34246122 51369183 62784557 67719929 102738366 111605063 125569114 135439858 188353671 203159787 223210126 334815189 376707342 406319574 565061013 609479361 669630378 744919219 1004445567 1130122026 1218958722 1227655693 1489838438 2008891134 2234757657 2455311386 3682967079 4469515314 6704272971 7365934158 11048901237 13408545942 22097802474 207697022243 415394044486 623091066729 1246182133458 1869273200187 2284667244673 3738546400374 4569334489346 6854001734019 13708003468038 20562005202057 41124010404114