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130043144 = 237111941271
BaseRepresentation
bin1111100000001…
…00110100001000
3100001200212122202
413300010310020
5231242340034
620523135332
73136230350
oct760046410
9301625582
10130043144
1167451380
1237674548
1320c3230a
14133b1b60
15b63b47e
hex7c04d08

130043144 has 128 divisors (see below), whose sum is σ = 329011200. Its totient is φ = 46656000.

The previous prime is 130043143. The next prime is 130043153. The reversal of 130043144 is 441340031.

It is a happy number.

It is a super-2 number, since 2×1300431442 = 33822438602809472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130043143) 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, 479729 + ... + 479999.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2130043144 is an apocalyptic number.

130043144 is a gapful number since it is divisible by the number (14) 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 130043144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

130043144 is an abundant number, since it is smaller than the sum of its proper divisors (198968056).

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

130043144 is a wasteful number, since it uses less digits than its factorization.

130043144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 130043144 is about 11403.6460835998. The cubic root of 130043144 is about 506.6357364159.

Adding to 130043144 its reverse (441340031), we get a palindrome (571383175).

It can be divided in two parts, 1300 and 43144, that added together give a palindrome (44444).

The spelling of 130043144 in words is "one hundred thirty million, forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 41 44 56 76 77 82 88 133 152 154 164 209 266 271 287 308 328 418 451 532 542 574 616 779 836 902 1064 1084 1148 1463 1558 1672 1804 1897 2168 2296 2926 2981 3116 3157 3608 3794 5149 5453 5852 5962 6232 6314 7588 8569 10298 10906 11111 11704 11924 12628 15176 17138 20596 20867 21812 22222 23848 25256 34276 36043 41192 41734 43624 44444 56639 59983 68552 72086 77777 83468 88888 113278 119966 122221 144172 155554 166936 211109 226556 239932 244442 288344 311108 396473 422218 453112 479864 488884 622216 792946 844436 855547 977768 1477763 1585892 1688872 1711094 2322199 2955526 3171784 3422188 4644398 5911052 6844376 9288796 11822104 16255393 18577592 32510786 65021572 130043144