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130144440 = 23351736269
BaseRepresentation
bin1111100000111…
…01100010111000
3100001220000121110
413300131202320
5231304110230
620525240320
73140131566
oct760354270
9301800543
10130144440
1167510498
12377030a0
1320c6945a
14133daa36
15b65b4b0
hex7c1d8b8

130144440 has 64 divisors (see below), whose sum is σ = 392752800. Its totient is φ = 34499072.

The previous prime is 130144423. The next prime is 130144451. The reversal of 130144440 is 44441031.

It is a congruent number.

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, 17626 + ... + 23894.

Almost surely, 2130144440 is an apocalyptic number.

130144440 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 130144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196376400).

130144440 is an abundant number, since it is smaller than the sum of its proper divisors (262608360).

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

130144440 is a wasteful number, since it uses less digits than its factorization.

130144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6456 (or 6452 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 130144440 is about 11408.0866055619. The cubic root of 130144440 is about 506.7672488064.

Adding to 130144440 its reverse (44441031), we get a palindrome (174585471).

The spelling of 130144440 in words is "one hundred thirty million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 519 692 865 1038 1384 1730 2076 2595 3460 4152 5190 6269 6920 10380 12538 18807 20760 25076 31345 37614 50152 62690 75228 94035 125380 150456 188070 250760 376140 752280 1084537 2169074 3253611 4338148 5422685 6507222 8676296 10845370 13014444 16268055 21690740 26028888 32536110 43381480 65072220 130144440