Search a number
-
+
1140064524500 = 225311866923911
BaseRepresentation
bin10000100101110001001…
…001000001100011010100
311000222201001112111012112
4100211301021001203110
5122134323004241000
62231423255210152
7145236601365266
oct20456111014324
94028631474175
101140064524500
113aa553780270
12164b51376958
138367a32ccc5
143d27246db36
151e9c7e81235
hex109712418d4

1140064524500 has 96 divisors (see below), whose sum is σ = 2716682492160. Its totient is φ = 414503760000.

The previous prime is 1140064524481. The next prime is 1140064524503. The reversal of 1140064524500 is 54254600411.

It is a super-2 number, since 2×11400645245002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140064524503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47667545 + ... + 47691455.

It is an arithmetic number, because the mean of its divisors is an integer number (28298775960).

Almost surely, 21140064524500 is an apocalyptic number.

1140064524500 is a gapful number since it is divisible by the number (10) 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 1140064524500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358341246080).

1140064524500 is an abundant number, since it is smaller than the sum of its proper divisors (1576617967660).

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

1140064524500 is a wasteful number, since it uses less digits than its factorization.

1140064524500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32610 (or 32598 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 1140064524500 in words is "one trillion, one hundred forty billion, sixty-four million, five hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 1100 1375 2750 5500 8669 17338 23911 34676 43345 47822 86690 95359 95644 119555 173380 190718 216725 239110 263021 381436 433450 476795 478220 526042 597775 866900 953590 1052084 1083625 1195550 1315105 1907180 2167250 2383975 2391100 2630210 2988875 4334500 4767950 5260420 5977750 6575525 9535900 11919875 11955500 13151050 23839750 26302100 32877625 47679500 65755250 131510500 207284459 414568918 829137836 1036422295 2072844590 2280129049 4145689180 4560258098 5182111475 9120516196 10364222950 11400645245 20728445900 22801290490 25910557375 45602580980 51821114750 57003226225 103642229500 114006452450 228012904900 285016131125 570032262250 1140064524500