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41013443113440 = 2535712206381879
BaseRepresentation
bin10010101001101001011111…
…01101010011000111100000
312101012211212100221100121220
421110310233231103013200
520333431012414112230
6223121152103215040
711432060232265230
oct1124645755230740
9171184770840556
1041013443113440
1112082781468076
12472481b147480
1319b67219902a5
14a1b0c0075cc0
154b1cc1762d10
hex254d2fb531e0

41013443113440 has 96 divisors (see below), whose sum is σ = 147648395220480. Its totient is φ = 9374501282304.

The previous prime is 41013443113427. The next prime is 41013443113459. The reversal of 41013443113440 is 4431134431014.

41013443113440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6103187580 + ... + 6103194299.

It is an arithmetic number, because the mean of its divisors is an integer number (1538004116880).

Almost surely, 241013443113440 is an apocalyptic number.

41013443113440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41013443113440 is an abundant number, since it is smaller than the sum of its proper divisors (106634952107040).

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

41013443113440 is a wasteful number, since it uses less digits than its factorization.

41013443113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12206381904 (or 12206381896 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 41013443113440 its reverse (4431134431014), we get a palindrome (45444577544454).

The spelling of 41013443113440 in words is "forty-one trillion, thirteen billion, four hundred forty-three million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 12206381879 24412763758 36619145637 48825527516 61031909395 73238291274 85444673153 97651055032 122063818790 146476582548 170889346306 183095728185 195302110064 244127637580 256334019459 292953165096 341778692612 366191456370 390604220128 427223365765 488255275160 512668038918 585906330192 683557385224 732382912740 854446731530 976510550320 1025336077836 1171812660384 1281670097295 1367114770448 1464765825480 1708893463060 1953021100640 2050672155672 2563340194590 2734229540896 2929531650960 3417786926120 4101344311344 5126680389180 5859063301920 6835573852240 8202688622688 10253360778360 13671147704480 20506721556720 41013443113440