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41134320042200 = 23527112242823613
BaseRepresentation
bin10010101101001010101001…
…00010001100000011011000
312101122101212111012120020022
421112211110202030003120
520342421041412322300
6223252502403250012
711443566540236240
oct1126452442140330
9171571774176208
1041134320042200
1112119a70326800
124744134679908
1319c4c467539c8
14a22ca9a50b20
154b4ee86d9285
hex25695488c0d8

41134320042200 has 144 divisors (see below), whose sum is σ = 120139411262640. Its totient is φ = 12821086713600.

The previous prime is 41134320042199. The next prime is 41134320042323. The reversal of 41134320042200 is 224002343114.

It is a self number, because there is not a number n which added to its sum of digits gives 41134320042200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121242407 + ... + 121581206.

Almost surely, 241134320042200 is an apocalyptic number.

41134320042200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41134320042200 is an abundant number, since it is smaller than the sum of its proper divisors (79005091220440).

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

41134320042200 is a wasteful number, since it uses less digits than its factorization.

41134320042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242823658 (or 242823638 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 41134320042200 its reverse (224002343114), we get a palindrome (41358322385314).

The spelling of 41134320042200 in words is "forty-one trillion, one hundred thirty-four billion, three hundred twenty million, forty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 121 140 154 175 200 220 242 275 280 308 350 385 440 484 550 605 616 700 770 847 968 1100 1210 1400 1540 1694 1925 2200 2420 3025 3080 3388 3850 4235 4840 6050 6776 7700 8470 12100 15400 16940 21175 24200 33880 42350 84700 169400 242823613 485647226 971294452 1214118065 1699765291 1942588904 2428236130 2671059743 3399530582 4856472260 5342119486 6070590325 6799061164 8498826455 9712944520 10684238972 12141180650 13355298715 13598122328 16997652910 18697418201 21368477944 24282361300 26710597430 29381657173 33995305820 37394836402 42494132275 48564722600 53421194860 58763314346 66776493575 67990611640 74789672804 84988264550 93487091005 106842389720 117526628692 133552987150 146908285865 149579345608 169976529100 186974182010 205671600211 235053257384 267105974300 293816571730 339953058200 373948364020 411343200422 467435455025 534211948600 587633143460 734541429325 747896728040 822686400844 934870910050 1028358001055 1175266286920 1469082858650 1645372801688 1869741820100 2056716002110 2938165717300 3739483640200 4113432004220 5141790005275 5876331434600 8226864008440 10283580010550 20567160021100 41134320042200