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11424442040 = 235118323769
BaseRepresentation
bin10101010001111001…
…10010011010111000
31002111012002210020222
422220330302122320
5141344124121130
65125345235212
7553052104124
oct125074623270
932435083228
1011424442040
114932888440
12226a032b08
131100b4619b
147a53d8584
1546ce7ece5
hex2a8f326b8

11424442040 has 96 divisors (see below), whose sum is σ = 28391266800. Its totient is φ = 4103201280.

The previous prime is 11424442031. The next prime is 11424442061. The reversal of 11424442040 is 4024442411.

11424442040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 3029276 + ... + 3033044.

Almost surely, 211424442040 is an apocalyptic number.

11424442040 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 11424442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14195633400).

11424442040 is an abundant number, since it is smaller than the sum of its proper divisors (16966824760).

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

11424442040 is a wasteful number, since it uses less digits than its factorization.

11424442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3870 counting only the distinct ones).

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

Adding to 11424442040 its reverse (4024442411), we get a palindrome (15448884451).

The spelling of 11424442040 in words is "eleven billion, four hundred twenty-four million, four hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 166 220 332 415 440 664 830 913 1660 1826 3320 3652 3769 4565 6889 7304 7538 9130 13778 15076 18260 18845 27556 30152 34445 36520 37690 41459 55112 68890 75380 75779 82918 137780 150760 151558 165836 207295 275560 303116 312827 331672 378895 414590 606232 625654 757790 829180 1251308 1515580 1564135 1658360 2502616 3031160 3128270 3441097 6256540 6882194 12513080 13764388 17205485 25964641 27528776 34410970 51929282 68821940 103858564 129823205 137643880 207717128 259646410 285611051 519292820 571222102 1038585640 1142444204 1428055255 2284888408 2856110510 5712221020 11424442040