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11141024424 = 23329531492027
BaseRepresentation
bin10100110000000111…
…01000101010101000
31001202102210200101020
422120003220222220
5140304100240144
65041302452440
7543041100525
oct123003505250
931672720336
1011141024424
1147a78aa602
1221ab134120
13108720305a
1477990014c
15453149419
hex2980e8aa8

11141024424 has 128 divisors (see below), whose sum is σ = 29568240000. Its totient is φ = 3492629504.

The previous prime is 11141024399. The next prime is 11141024437. The reversal of 11141024424 is 42442014111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11141024394 and 11141024403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5495299 + ... + 5497325.

It is an arithmetic number, because the mean of its divisors is an integer number (231001875).

Almost surely, 211141024424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11141024424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784120000).

11141024424 is an abundant number, since it is smaller than the sum of its proper divisors (18427215576).

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

11141024424 is a wasteful number, since it uses less digits than its factorization.

11141024424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2263 counting only the distinct ones).

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

Adding to 11141024424 its reverse (42442014111), we get a palindrome (53583038535).

The spelling of 11141024424 in words is "eleven billion, one hundred forty-one million, twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 53 58 87 106 116 149 159 174 212 232 298 318 348 424 447 596 636 696 894 1192 1272 1537 1788 2027 3074 3576 4054 4321 4611 6081 6148 7897 8108 8642 9222 12162 12296 12963 15794 16216 17284 18444 23691 24324 25926 31588 34568 36888 47382 48648 51852 58783 63176 94764 103704 107431 117566 176349 189528 214862 229013 235132 302023 322293 352698 429724 458026 470264 604046 644586 687039 705396 859448 906069 916052 1208092 1289172 1374078 1410792 1812138 1832104 2416184 2578344 2748156 3115499 3624276 5496312 6230998 7248552 8758667 9346497 12461996 16007219 17517334 18692994 24923992 26276001 32014438 35034668 37385988 48021657 52552002 64028876 70069336 74771976 96043314 105104004 128057752 192086628 210208008 384173256 464209351 928418702 1392628053 1856837404 2785256106 3713674808 5570512212 11141024424