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131444016 = 243111731439
BaseRepresentation
bin1111101010110…
…10110100110000
3100011100001021220
413311122310300
5232122202031
621013145040
73154153464
oct765326460
9304301256
10131444016
1168218920
123802b180
1321302b32
14136584a4
15b816596
hex7d5ad30

131444016 has 80 divisors (see below), whose sum is σ = 372833280. Its totient is φ = 39573760.

The previous prime is 131444009. The next prime is 131444023. The reversal of 131444016 is 610444131.

It is an interprime number because it is at equal distance from previous prime (131444009) and next prime (131444023).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 90625 + ... + 92063.

It is an arithmetic number, because the mean of its divisors is an integer number (4660416).

Almost surely, 2131444016 is an apocalyptic number.

131444016 is a gapful number since it is divisible by the number (16) 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 131444016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186416640).

131444016 is an abundant number, since it is smaller than the sum of its proper divisors (241389264).

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

131444016 is a wasteful number, since it uses less digits than its factorization.

131444016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 131444016 is about 11464.9036629184. The cubic root of 131444016 is about 508.4484642088.

Adding to 131444016 its reverse (610444131), we get a palindrome (741888147).

The spelling of 131444016 in words is "one hundred thirty-one million, four hundred forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 173 176 264 346 519 528 692 1038 1384 1439 1903 2076 2768 2878 3806 4152 4317 5709 5756 7612 8304 8634 11418 11512 15224 15829 17268 22836 23024 30448 31658 34536 45672 47487 63316 69072 91344 94974 126632 189948 248947 253264 379896 497894 746841 759792 995788 1493682 1991576 2738417 2987364 3983152 5476834 5974728 8215251 10953668 11949456 16430502 21907336 32861004 43814672 65722008 131444016