Search a number
-
+
11443150531040 = 255715871716047
BaseRepresentation
bin1010011010000101000011…
…1011000010100111100000
31111111221202211120010220112
42212201100323002213200
52444441033013443130
640200524421230452
72260511636431664
oct246412073024740
944457684503815
1011443150531040
113712016174a08
121349913b62428
136501137529a7
142b7bcc4d48a4
1514c9e1465495
hexa6850ec29e0

11443150531040 has 96 divisors (see below), whose sum is σ = 27461929872384. Its totient is φ = 4505101242880.

The previous prime is 11443150531031. The next prime is 11443150531061. The reversal of 11443150531040 is 4013505134411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 11443150530988 and 11443150531006.

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, 5810297 + ... + 7526343.

It is an arithmetic number, because the mean of its divisors is an integer number (286061769504).

Almost surely, 211443150531040 is an apocalyptic number.

11443150531040 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 11443150531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13730964936192).

11443150531040 is an abundant number, since it is smaller than the sum of its proper divisors (16018779341344).

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

11443150531040 is a wasteful number, since it uses less digits than its factorization.

11443150531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716720 (or 1716712 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 11443150531040 its reverse (4013505134411), we get a palindrome (15456655665451).

The spelling of 11443150531040 in words is "eleven trillion, four hundred forty-three billion, one hundred fifty million, five hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 587 710 1136 1174 1420 2272 2348 2840 2935 4696 5680 5870 9392 11360 11740 18784 23480 41677 46960 83354 93920 166708 208385 333416 416770 666832 833540 1333664 1667080 1716047 3334160 3432094 6668320 6864188 8580235 13728376 17160470 27456752 34320940 54913504 68641880 121839337 137283760 243678674 274567520 487357348 609196685 974714696 1007319589 1218393370 1949429392 2014639178 2436786740 3898858784 4029278356 4873573480 5036597945 8058556712 9747146960 10073195890 16117113424 19494293920 20146391780 32234226848 40292783560 71519690819 80585567120 143039381638 161171134240 286078763276 357598454095 572157526552 715196908190 1144315053104 1430393816380 2288630106208 2860787632760 5721575265520 11443150531040