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11443132040 = 2352329439977
BaseRepresentation
bin10101010100001000…
…00101011010001000
31002112111021100010012
422222010011122020
5141413420211130
65131254011052
7553400005664
oct125204053210
932474240105
1011443132040
11494239351a
122274346a88
13110498b262
147a7aa18a4
1546e922995
hex2aa105688

11443132040 has 128 divisors (see below), whose sum is σ = 27884736000. Its totient is φ = 4213321728.

The previous prime is 11443132039. The next prime is 11443132073. The reversal of 11443132040 is 4023134411.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 11443131997 and 11443132015.

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, 11712032 + ... + 11713008.

It is an arithmetic number, because the mean of its divisors is an integer number (217849500).

Almost surely, 211443132040 is an apocalyptic number.

11443132040 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 11443132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942368000).

11443132040 is an abundant number, since it is smaller than the sum of its proper divisors (16441603960).

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

11443132040 is a wasteful number, since it uses less digits than its factorization.

11443132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 11443132040 its reverse (4023134411), we get a palindrome (15466266451).

The spelling of 11443132040 in words is "eleven billion, four hundred forty-three million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 115 116 145 184 230 232 290 439 460 580 667 878 920 977 1160 1334 1756 1954 2195 2668 3335 3512 3908 4390 4885 5336 6670 7816 8780 9770 10097 12731 13340 17560 19540 20194 22471 25462 26680 28333 39080 40388 44942 50485 50924 56666 63655 80776 89884 100970 101848 112355 113332 127310 141665 179768 201940 224710 226664 254620 283330 292813 403880 428903 449420 509240 566660 585626 651659 857806 898840 1133320 1171252 1303318 1464065 1715612 2144515 2342504 2606636 2928130 3258295 3431224 4289030 5213272 5856260 6516590 8578060 9864769 11712520 12438187 13033180 17156120 19729538 24876374 26066360 39459076 49323845 49752748 62190935 78918152 98647690 99505496 124381870 197295380 248763740 286078301 394590760 497527480 572156602 1144313204 1430391505 2288626408 2860783010 5721566020 11443132040