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11314011440 = 245239719823
BaseRepresentation
bin10101000100101111…
…00001110100110000
31002012111022022221202
422202113201310300
5141132341331230
65110402310332
7550241340044
oct124227416460
932174268852
1011314011440
114886512286
1222390583a8
1310b3cbcb34
14794890024
15463419a45
hex2a25e1d30

11314011440 has 80 divisors (see below), whose sum is σ = 26484019200. Its totient is φ = 4494932736.

The previous prime is 11314011433. The next prime is 11314011451. The reversal of 11314011440 is 4411041311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 13746869 + ... + 13747691.

It is an arithmetic number, because the mean of its divisors is an integer number (331050240).

Almost surely, 211314011440 is an apocalyptic number.

11314011440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314011440 is an abundant number, since it is smaller than the sum of its proper divisors (15170007760).

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

11314011440 is a wasteful number, since it uses less digits than its factorization.

11314011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11314011440 its reverse (4411041311), we get a palindrome (15725052751).

The spelling of 11314011440 in words is "eleven billion, three hundred fourteen million, eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 239 478 719 823 956 1195 1438 1646 1912 2390 2876 3292 3595 3824 4115 4780 5752 6584 7190 8230 9560 11504 13168 14380 16460 19120 28760 32920 57520 65840 171841 196697 343682 393394 591737 687364 786788 859205 983485 1183474 1374728 1573576 1718410 1966970 2366948 2749456 2958685 3147152 3436820 3933940 4733896 5917370 6873640 7867880 9467792 11834740 13747280 15735760 23669480 47338960 141425143 282850286 565700572 707125715 1131401144 1414251430 2262802288 2828502860 5657005720 11314011440