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13144022760 = 23351183119971
BaseRepresentation
bin11000011110111000…
…11101111011101000
31020221000210112112210
430033130131323220
5203404332212020
610012134005120
7643502231031
oct141734357350
936830715483
1013144022760
115635504930
122669aa67a0
13131618a07b
148c9939a88
1551de003e0
hex30f71dee8

13144022760 has 128 divisors (see below), whose sum is σ = 43535439360. Its totient is φ = 3148012800.

The previous prime is 13144022663. The next prime is 13144022777. The reversal of 13144022760 is 6722044131.

It is a super-4 number, since 4×131440227604 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49575 + ... + 169545.

It is an arithmetic number, because the mean of its divisors is an integer number (340120620).

Almost surely, 213144022760 is an apocalyptic number.

13144022760 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 13144022760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21767719680).

13144022760 is an abundant number, since it is smaller than the sum of its proper divisors (30391416600).

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

13144022760 is a wasteful number, since it uses less digits than its factorization.

13144022760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120079 (or 120075 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 13144022760 its reverse (6722044131), we get a palindrome (19866066891).

The spelling of 13144022760 in words is "thirteen billion, one hundred forty-four million, twenty-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 83 88 110 120 132 165 166 220 249 264 330 332 415 440 498 660 664 830 913 996 1245 1320 1660 1826 1992 2490 2739 3320 3652 4565 4980 5478 7304 9130 9960 10956 13695 18260 21912 27390 36520 54780 109560 119971 239942 359913 479884 599855 719826 959768 1199710 1319681 1439652 1799565 2399420 2639362 2879304 3599130 3959043 4798840 5278724 6598405 7198260 7918086 9957593 10557448 13196810 14396520 15836172 19795215 19915186 26393620 29872779 31672344 39590430 39830372 49787965 52787240 59745558 79180860 79660744 99575930 109533523 119491116 149363895 158361720 199151860 219067046 238982232 298727790 328600569 398303720 438134092 547667615 597455580 657201138 876268184 1095335230 1194911160 1314402276 1643002845 2190670460 2628804552 3286005690 4381340920 6572011380 13144022760