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13143440440 = 23513373499
BaseRepresentation
bin11000011110110100…
…01111110000111000
31020220222200221202101
430033122033300320
5203404210043230
610012113313144
7643464254224
oct141732176070
936828627671
1013143440440
115635147379
1226698657b4
131316014cc0
148c9827784
1551dd37aca
hex30f68fc38

13143440440 has 128 divisors (see below), whose sum is σ = 32797800000. Its totient is φ = 4712338944.

The previous prime is 13143440411. The next prime is 13143440441. The reversal of 13143440440 is 4404434131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13143440399 and 13143440408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13143440441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26339311 + ... + 26339809.

Almost surely, 213143440440 is an apocalyptic number.

13143440440 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 13143440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16398900000).

13143440440 is an abundant number, since it is smaller than the sum of its proper divisors (19654359560).

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

13143440440 is an equidigital number, since it uses as much as digits as its factorization.

13143440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 13143440440 its reverse (4404434131), we get a palindrome (17547874571).

The spelling of 13143440440 in words is "thirteen billion, one hundred forty-three million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 499 520 740 962 998 1369 1480 1924 1996 2405 2495 2738 3848 3992 4810 4990 5476 6487 6845 9620 9980 10952 12974 13690 17797 18463 19240 19960 25948 27380 32435 35594 36926 50653 51896 54760 64870 71188 73852 88985 92315 101306 129740 142376 147704 177970 184630 202612 240019 253265 259480 355940 369260 405224 480038 506530 658489 683131 711880 738520 960076 1013060 1200095 1316978 1366262 1920152 2026120 2400190 2633956 2732524 3292445 3415655 4800380 5267912 5465048 6584890 6831310 8880703 9600760 13169780 13662620 17761406 25275847 26339560 27325240 35522812 44403515 50551694 71045624 88807030 101103388 126379235 177614060 202206776 252758470 328586011 355228120 505516940 657172022 1011033880 1314344044 1642930055 2628688088 3285860110 6571720220 13143440440