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11440140000 = 25354190669
BaseRepresentation
bin10101010011110001…
…01010111011100000
31002112021122022210220
422221320222323200
5141412133440000
65131105523040
7553332404562
oct125170527340
932467568726
1011440140000
11494072a563
122273343480
131104181413
147a7523332
1546e5311a0
hex2a9e2aee0

11440140000 has 120 divisors (see below), whose sum is σ = 37526144040. Its totient is φ = 3050688000.

The previous prime is 11440139957. The next prime is 11440140091. The reversal of 11440140000 is 4104411.

11440140000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 19 ways as a sum of consecutive naturals, for example, 35335 + ... + 155334.

It is an arithmetic number, because the mean of its divisors is an integer number (312717867).

Almost surely, 211440140000 is an apocalyptic number.

11440140000 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 11440140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18763072020).

11440140000 is an abundant number, since it is smaller than the sum of its proper divisors (26086004040).

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

11440140000 is an equidigital number, since it uses as much as digits as its factorization.

11440140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190702 (or 190679 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11440140000 its reverse (4104411), we get a palindrome (11444244411).

The spelling of 11440140000 in words is "eleven billion, four hundred forty million, one hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 190669 381338 572007 762676 953345 1144014 1525352 1906690 2288028 2860035 3050704 3813380 4576056 4766725 5720070 6101408 7626760 9152112 9533450 11440140 14300175 15253520 18304224 19066900 22880280 23833625 28600350 30507040 38133800 45760560 47667250 57200700 71500875 76267600 91521120 95334500 114401400 119168125 143001750 152535200 190669000 228802800 238336250 286003500 357504375 381338000 457605600 476672500 572007000 715008750 762676000 953345000 1144014000 1430017500 1906690000 2288028000 2860035000 3813380000 5720070000 11440140000