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41331544540240 = 2451139345347521
BaseRepresentation
bin10010110010111010000000…
…00001111100010001010000
312102100020221101220010210211
421121131000001330101100
520404134000400241430
6223523241024533504
711464051126636633
oct1131350001742120
9172306841803724
1041331544540240
1112195678422229
1247763b6781294
131a0a717a42516
14a2c659287c1a
154ba1dd16272a
hex25974007c450

41331544540240 has 40 divisors (see below), whose sum is σ = 96104277814248. Its totient is φ = 16531166330880.

The previous prime is 41331544540193. The next prime is 41331544540271. The reversal of 41331544540240 is 4204544513314.

It can be written as a sum of positive squares in 4 ways, for example, as 15972907478544 + 25358637061696 = 3996612^2 + 5035736^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 41331544540193 and 41331544540202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21762321 + ... + 23585200.

Almost surely, 241331544540240 is an apocalyptic number.

41331544540240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41331544540240 is an abundant number, since it is smaller than the sum of its proper divisors (54772733274008).

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

41331544540240 is a wasteful number, since it uses less digits than its factorization.

41331544540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45358927 (or 45358921 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 41331544540240 in words is "forty-one trillion, three hundred thirty-one billion, five hundred forty-four million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 11393 22786 45572 56965 91144 113930 182288 227860 455720 911440 45347521 90695042 181390084 226737605 362780168 453475210 725560336 906950420 1813900840 3627801680 516644306753 1033288613506 2066577227012 2583221533765 4133154454024 5166443067530 8266308908048 10332886135060 20665772270120 41331544540240