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11141024240 = 245971678597
BaseRepresentation
bin10100110000000111…
…01000100111110000
31001202102210200010102
422120003220213300
5140304100233430
65041302451532
7543041100143
oct123003504760
931672720112
1011141024240
1147a78aa455
1221ab133ba8
131087202c48
1477990005a
15453149345
hex2980e89f0

11141024240 has 80 divisors (see below), whose sum is σ = 26329689792. Its totient is φ = 4383547392.

The previous prime is 11141024233. The next prime is 11141024263. The reversal of 11141024240 is 4242014111.

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

It is a super-2 number, since 2×111410242402 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1291622 + ... + 1300218.

Almost surely, 211141024240 is an apocalyptic number.

11141024240 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 11141024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13164844896).

11141024240 is an abundant number, since it is smaller than the sum of its proper divisors (15188665552).

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

11141024240 is a wasteful number, since it uses less digits than its factorization.

11141024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8874 (or 8868 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11141024240 its reverse (4242014111), we get a palindrome (15383038351).

The spelling of 11141024240 in words is "eleven billion, one hundred forty-one million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 167 194 334 388 485 668 776 835 970 1336 1552 1670 1940 2672 3340 3880 6680 7760 8597 13360 16199 17194 32398 34388 42985 64796 68776 80995 85970 129592 137552 161990 171940 259184 323980 343880 647960 687760 833909 1295920 1435699 1667818 2871398 3335636 4169545 5742796 6671272 7178495 8339090 11485592 13342544 14356990 16678180 22971184 28713980 33356360 57427960 66712720 114855920 139262803 278525606 557051212 696314015 1114102424 1392628030 2228204848 2785256060 5570512120 11141024240