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11424411240 = 23351149117627
BaseRepresentation
bin10101010001111001…
…01010111001101000
31002111012001020000020
422220330222321220
5141344122124430
65125344440440
7553051615254
oct125074527150
932435036006
1011424411240
114932867290
12226a019120
131100b35168
147a53cb264
1546ce75b10
hex2a8f2ae68

11424411240 has 128 divisors (see below), whose sum is σ = 37467256320. Its totient is φ = 2763756800.

The previous prime is 11424411239. The next prime is 11424411253. The reversal of 11424411240 is 4211442411.

11424411240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11424411240.

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 31 ways as a sum of consecutive naturals, for example, 639307 + ... + 656933.

It is an arithmetic number, because the mean of its divisors is an integer number (292712940).

Almost surely, 211424411240 is an apocalyptic number.

11424411240 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 11424411240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18733628160).

11424411240 is an abundant number, since it is smaller than the sum of its proper divisors (26042845080).

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

11424411240 is a wasteful number, since it uses less digits than its factorization.

11424411240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18143 (or 18139 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 11424411240 its reverse (4211442411), we get a palindrome (15635853651).

The spelling of 11424411240 in words is "eleven billion, four hundred twenty-four million, four hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 491 660 982 1320 1473 1964 2455 2946 3928 4910 5401 5892 7365 9820 10802 11784 14730 16203 17627 19640 21604 27005 29460 32406 35254 43208 52881 54010 58920 64812 70508 81015 88135 105762 108020 129624 141016 162030 176270 193897 211524 216040 264405 324060 352540 387794 423048 528810 581691 648120 705080 775588 969485 1057620 1163382 1551176 1938970 2115240 2326764 2908455 3877940 4653528 5816910 7755880 8654857 11633820 17309714 23267640 25964571 34619428 43274285 51929142 69238856 86548570 95203427 103858284 129822855 173097140 190406854 207716568 259645710 285610281 346194280 380813708 476017135 519291420 571220562 761627416 952034270 1038582840 1142441124 1428051405 1904068540 2284882248 2856102810 3808137080 5712205620 11424411240