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1113101440 = 27511433677
BaseRepresentation
bin100001001011000…
…1001010010000000
32212120111102010021
41002112021102000
54234423221230
6302241343224
736404130463
oct10226112200
92776442107
101113101440
11521353650
12270937b14
131497ba109
14a7b8d2da
1567ac2c7a
hex42589480

1113101440 has 128 divisors (see below), whose sum is σ = 2971235520. Its totient is φ = 395243520.

The previous prime is 1113101317. The next prime is 1113101441. The reversal of 1113101440 is 441013111.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (1113101441) 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, 300882 + ... + 304558.

Almost surely, 21113101440 is an apocalyptic number.

1113101440 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 1113101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485617760).

1113101440 is an abundant number, since it is smaller than the sum of its proper divisors (1858134080).

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

1113101440 is a wasteful number, since it uses less digits than its factorization.

1113101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3738 counting only the distinct ones).

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

The square root of 1113101440 is about 33363.1749088722. The cubic root of 1113101440 is about 1036.3622412099.

Adding to 1113101440 its reverse (441013111), we get a palindrome (1554114551).

The spelling of 1113101440 in words is "one billion, one hundred thirteen million, one hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 128 160 172 176 215 220 320 344 352 430 440 473 640 688 704 860 880 946 1376 1408 1720 1760 1892 2365 2752 3440 3520 3677 3784 4730 5504 6880 7040 7354 7568 9460 13760 14708 15136 18385 18920 27520 29416 30272 36770 37840 40447 58832 60544 73540 75680 80894 117664 147080 151360 158111 161788 202235 235328 294160 302720 316222 323576 404470 470656 588320 632444 647152 790555 808940 1176640 1264888 1294304 1581110 1617880 1739221 2353280 2529776 2588608 3162220 3235760 3478442 5059552 5177216 6324440 6471520 6956884 8696105 10119104 12648880 12943040 13913768 17392210 20238208 25297760 25886080 27827536 34784420 50595520 55655072 69568840 101191040 111310144 139137680 222620288 278275360 556550720 1113101440