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4111023440 = 245535211861
BaseRepresentation
bin1111010100001001…
…0011110101010000
3101121111121121222102
43311002103311100
531404410222230
61515533255532
7203606060036
oct36502236520
911544547872
104111023440
11181a624837
129689345a8
13506924864
142addb4556
15190da6045
hexf5093d50

4111023440 has 80 divisors (see below), whose sum is σ = 9762406416. Its totient is φ = 1609420800.

The previous prime is 4111023439. The next prime is 4111023443. The reversal of 4111023440 is 443201114.

It can be written as a sum of positive squares in 8 ways, for example, as 755370256 + 3355653184 = 27484^2 + 57928^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111023443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2208110 + ... + 2209970.

Almost surely, 24111023440 is an apocalyptic number.

4111023440 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 4111023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881203208).

4111023440 is an abundant number, since it is smaller than the sum of its proper divisors (5651382976).

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

4111023440 is a wasteful number, since it uses less digits than its factorization.

4111023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4111023440 is about 64117.2631979875. The cubic root of 4111023440 is about 1601.9537903019.

Adding to 4111023440 its reverse (443201114), we get a palindrome (4554224554).

The spelling of 4111023440 in words is "four billion, one hundred eleven million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 521 530 848 1042 1060 1861 2084 2120 2605 3722 4168 4240 5210 7444 8336 9305 10420 14888 18610 20840 27613 29776 37220 41680 55226 74440 98633 110452 138065 148880 197266 220904 276130 394532 441808 493165 552260 789064 969581 986330 1104520 1578128 1939162 1972660 2209040 3878324 3945320 4847905 7756648 7890640 9695810 15513296 19391620 38783240 51387793 77566480 102775586 205551172 256938965 411102344 513877930 822204688 1027755860 2055511720 4111023440