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13444001130 = 235729419719
BaseRepresentation
bin11001000010101001…
…10010110101101010
31021200221021000111210
430201110302311222
5210013131014010
610102011333550
7654104060400
oct144124626552
937627230453
1013444001130
11577987403a
1227324512b6
13136337b071
14917705470
1553a407b20
hex321532d6a

13444001130 has 96 divisors (see below), whose sum is σ = 37577208960. Its totient is φ = 3069333120.

The previous prime is 13444001113. The next prime is 13444001143. The reversal of 13444001130 is 3110044431.

It is a super-3 number, since 3×134440011303 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13444001097 and 13444001106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1378411 + ... + 1388129.

It is an arithmetic number, because the mean of its divisors is an integer number (391429260).

Almost surely, 213444001130 is an apocalyptic number.

13444001130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13444001130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18788604480).

13444001130 is an abundant number, since it is smaller than the sum of its proper divisors (24133207830).

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

13444001130 is a wasteful number, since it uses less digits than its factorization.

13444001130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10684 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13444001130 its reverse (3110044431), we get a palindrome (16554045561).

The spelling of 13444001130 in words is "thirteen billion, four hundred forty-four million, one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 941 1470 1882 2823 4705 5646 6587 9410 9719 13174 14115 19438 19761 28230 29157 32935 39522 46109 48595 58314 65870 68033 92218 97190 98805 136066 138327 145785 197610 204099 230545 276654 291570 340165 408198 461090 476231 680330 691635 952462 1020495 1383270 1428693 2040990 2381155 2857386 4762310 7143465 9145579 14286930 18291158 27436737 45727895 54873474 64019053 91455790 128038106 137183685 192057159 274367370 320095265 384114318 448133371 640190530 896266742 960285795 1344400113 1920571590 2240666855 2688800226 4481333710 6722000565 13444001130