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11442124232 = 23711292292797
BaseRepresentation
bin10101010100000000…
…01111010111001000
31002112102101010122222
422222000033113020
5141413140433412
65131220233212
7553355310530
oct125200172710
932472333588
1011442124232
114941865320
122273b3b808
1311046c7616
147a78bc4c0
1546e7c4072
hex2aa00f5c8

11442124232 has 128 divisors (see below), whose sum is σ = 27800928000. Its totient is φ = 4283919360.

The previous prime is 11442124229. The next prime is 11442124279. The reversal of 11442124232 is 23242124411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4089458 + ... + 4092254.

It is an arithmetic number, because the mean of its divisors is an integer number (217194750).

Almost surely, 211442124232 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 11442124232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13900464000).

11442124232 is an abundant number, since it is smaller than the sum of its proper divisors (16358803768).

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

11442124232 is a wasteful number, since it uses less digits than its factorization.

11442124232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3075 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

Adding to 11442124232 its reverse (23242124411), we get a palindrome (34684248643).

The spelling of 11442124232 in words is "eleven billion, four hundred forty-two million, one hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 154 203 229 232 308 319 406 458 616 638 812 916 1276 1603 1624 1832 2233 2519 2552 2797 3206 4466 5038 5594 6412 6641 8932 10076 11188 12824 13282 17633 17864 19579 20152 22376 26564 30767 35266 39158 46487 53128 61534 70532 73051 78316 81113 92974 123068 141064 146102 156632 162226 185948 215369 246136 292204 324452 371896 430738 511357 567791 584408 640513 648904 861476 892243 1022714 1135582 1281026 1722952 1784486 2045428 2271164 2562052 3568972 4090856 4483591 4542328 5124104 6245701 7045643 7137944 8967182 12491402 14091286 17934364 18574877 24982804 28182572 35868728 37149754 49319501 49965608 56365144 74299508 98639002 130024139 148599016 197278004 204323647 260048278 394556008 408647294 520096556 817294588 1040193112 1430265529 1634589176 2860531058 5721062116 11442124232