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11110431040 = 265371098609
BaseRepresentation
bin10100101100011101…
…11011100101000000
31001200022020101010221
422112032323211000
5140223232243130
65034251032424
7542220051142
oct122616734500
931608211127
1011110431040
114791604315
1221a0a3b714
131080a80c67
14775818c92
1545060487a
hex2963bb940

11110431040 has 112 divisors (see below), whose sum is σ = 27424227600. Its totient is φ = 4283891712.

The previous prime is 11110431023. The next prime is 11110431041. The reversal of 11110431040 is 4013401111.

It can be written as a sum of positive squares in 8 ways, for example, as 157552704 + 10952878336 = 12552^2 + 104656^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110431041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1286256 + ... + 1294864.

It is an arithmetic number, because the mean of its divisors is an integer number (244859175).

Almost surely, 211110431040 is an apocalyptic number.

11110431040 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 11110431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13712113800).

11110431040 is an abundant number, since it is smaller than the sum of its proper divisors (16313796560).

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

11110431040 is a wasteful number, since it uses less digits than its factorization.

11110431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8772 (or 8762 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11110431040 its reverse (4013401111), we get a palindrome (15123832151).

The spelling of 11110431040 in words is "eleven billion, one hundred ten million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 109 148 160 185 218 296 320 370 436 545 592 740 872 1090 1184 1480 1744 2180 2368 2960 3488 4033 4360 5920 6976 8066 8609 8720 11840 16132 17218 17440 20165 32264 34436 34880 40330 43045 64528 68872 80660 86090 129056 137744 161320 172180 258112 275488 318533 322640 344360 550976 637066 645280 688720 938381 1274132 1290560 1377440 1592665 1876762 2548264 2754880 3185330 3753524 4691905 5096528 6370660 7507048 9383810 10193056 12741320 15014096 18767620 20386112 25482640 30028192 34720097 37535240 50965280 60056384 69440194 75070480 101930560 138880388 150140960 173600485 277760776 300281920 347200970 555521552 694401940 1111043104 1388803880 2222086208 2777607760 5555215520 11110431040