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4011241440 = 253549916747
BaseRepresentation
bin1110111100010110…
…1010111111100000
3101100112212011210210
43233011222333200
531203334211230
61502010454120
7201254663313
oct35705527740
911315764723
104011241440
111779272078
1293b434340
134bc05935b
142a0a3c97a
15187245eb0
hexef16afe0

4011241440 has 96 divisors (see below), whose sum is σ = 12661488000. Its totient is φ = 1067457024.

The previous prime is 4011241433. The next prime is 4011241441. The reversal of 4011241440 is 441421104.

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

It is a super-3 number, since 3×40112414403 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011241441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231147 + ... + 247893.

It is an arithmetic number, because the mean of its divisors is an integer number (131890500).

Almost surely, 24011241440 is an apocalyptic number.

4011241440 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 4011241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6330744000).

4011241440 is an abundant number, since it is smaller than the sum of its proper divisors (8650246560).

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

4011241440 is a wasteful number, since it uses less digits than its factorization.

4011241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17264 (or 17256 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4011241440 is about 63334.3622372563. The cubic root of 4011241440 is about 1588.8867172249.

Adding to 4011241440 its reverse (441421104), we get a palindrome (4452662544).

The spelling of 4011241440 in words is "four billion, eleven million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 499 998 1497 1996 2495 2994 3992 4990 5988 7485 7984 9980 11976 14970 15968 16747 19960 23952 29940 33494 39920 47904 50241 59880 66988 79840 83735 100482 119760 133976 167470 200964 239520 251205 267952 334940 401928 502410 535904 669880 803856 1004820 1339760 1607712 2009640 2679520 4019280 8038560 8356753 16713506 25070259 33427012 41783765 50140518 66854024 83567530 100281036 125351295 133708048 167135060 200562072 250702590 267416096 334270120 401124144 501405180 668540240 802248288 1002810360 1337080480 2005620720 4011241440