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41124024440 = 23537124922247
BaseRepresentation
bin100110010011001011…
…101101000001111000
310221011000002220011022
4212103023231001320
51133210222240230
630520410322012
72654043303662
oct462313550170
9127130086138
1041124024440
1116493492264
127b78429308
133b54bc5395
141dc19a1532
15110a5161e5
hex9932ed078

41124024440 has 64 divisors (see below), whose sum is σ = 95110200000. Its totient is φ = 15991492608.

The previous prime is 41124024427. The next prime is 41124024521. The reversal of 41124024440 is 4442042114.

It is a super-2 number, since 2×411240244402 (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1837397 + ... + 1859643.

It is an arithmetic number, because the mean of its divisors is an integer number (1486096875).

Almost surely, 241124024440 is an apocalyptic number.

41124024440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41124024440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47555100000).

41124024440 is an abundant number, since it is smaller than the sum of its proper divisors (53986175560).

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

41124024440 is a wasteful number, since it uses less digits than its factorization.

41124024440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23544 (or 23540 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 41124024440 its reverse (4442042114), we get a palindrome (45566066554).

The spelling of 41124024440 in words is "forty-one billion, one hundred twenty-four million, twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1249 1480 2498 4996 6245 9992 12490 22247 24980 44494 46213 49960 88988 92426 111235 177976 184852 222470 231065 369704 444940 462130 823139 889880 924260 1646278 1848520 3292556 4115695 6585112 8231390 16462780 27786503 32925560 55573006 111146012 138932515 222292024 277865030 555730060 1028100611 1111460120 2056201222 4112402444 5140503055 8224804888 10281006110 20562012220 41124024440