Search a number
-
+
41112014104300 = 225223199267133629
BaseRepresentation
bin10010101100100001000101…
…11111110010011011101100
312101120021021221122111212011
421112100202333302123230
520342034401102314200
6223234333141451004
711442150015010306
oct1126204277623354
9171507257574764
1041112014104300
11121105641a0487
12473b94a410a64
1319c2b00405299
14a21b913d2976
154b46402c75ba
hex256422ff26ec

41112014104300 has 144 divisors (see below), whose sum is σ = 93597509376000. Its totient is φ = 15644445062400.

The previous prime is 41112014104211. The next prime is 41112014104349. The reversal of 41112014104300 is 340141021114.

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, 1222499886 + ... + 1222533514.

It is an arithmetic number, because the mean of its divisors is an integer number (649982704000).

Almost surely, 241112014104300 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 41112014104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46798754688000).

41112014104300 is an abundant number, since it is smaller than the sum of its proper divisors (52485495271700).

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

41112014104300 is a wasteful number, since it uses less digits than its factorization.

41112014104300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36536 (or 36529 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 41112014104300 its reverse (340141021114), we get a palindrome (41452155125414).

The spelling of 41112014104300 in words is "forty-one trillion, one hundred twelve billion, fourteen million, one hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 199 230 398 460 575 796 995 1150 1990 2300 2671 3980 4577 4975 5342 9154 9950 10684 13355 18308 19900 22885 26710 33629 45770 53420 61433 66775 67258 91540 114425 122866 133550 134516 168145 228850 245732 267100 307165 336290 457700 531529 614330 672580 773467 840725 1063058 1228660 1535825 1546934 1681450 2126116 2657645 3071650 3093868 3362900 3867335 5315290 6143300 6692171 7734670 10630580 12225167 13288225 13384342 15469340 19336675 24450334 26576450 26768684 33460855 38673350 48900668 53152900 61125835 66921710 77346700 89823059 122251670 133843420 153919933 167304275 179646118 244503340 305629175 307839866 334608550 359292236 449115295 611258350 615679732 669217100 769599665 898230590 1222516700 1539199330 1796461180 2065930357 2245576475 3078398660 3847998325 4131860714 4491152950 7695996650 8263721428 8982305900 10329651785 15391993300 17874788741 20659303570 35749577482 41318607140 51648258925 71499154964 89373943705 103296517850 178747887410 206593035700 357495774820 411120141043 446869718525 822240282086 893739437050 1644480564172 1787478874100 2055600705215 4111201410430 8222402820860 10278003526075 20556007052150 41112014104300