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141443044416 = 2632245560841
BaseRepresentation
bin1000001110111010101…
…0011001010001000000
3111112002102001010112200
42003232222121101000
54304133404410131
6144551131153200
713135043016612
oct2035652312100
9445072033480
10141443044416
1154a92a02833
12234b4ba5800
1310451831c2b
146bbb146db2
153a2c76a2e6
hex20eea99440

141443044416 has 42 divisors (see below), whose sum is σ = 405420950142. Its totient is φ = 47147681280.

The previous prime is 141443044399. The next prime is 141443044417. The reversal of 141443044416 is 614440344141.

141443044416 is a `hidden beast` number, since 141 + 4 + 430 + 44 + 41 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 140103484416 + 1339560000 = 374304^2 + 36600^2 .

It is a super-2 number, since 2×1414430444162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (141443044417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122779845 + ... + 122780996.

Almost surely, 2141443044416 is an apocalyptic number.

141443044416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

141443044416 is an abundant number, since it is smaller than the sum of its proper divisors (263977905726).

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

141443044416 is a wasteful number, since it uses less digits than its factorization.

141443044416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245560859 (or 245560846 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 141443044416 its reverse (614440344141), we get a palindrome (755883388557).

The spelling of 141443044416 in words is "one hundred forty-one billion, four hundred forty-three million, forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 245560841 491121682 736682523 982243364 1473365046 1964486728 2210047569 2946730092 3928973456 4420095138 5893460184 7857946912 8840190276 11786920368 15715893824 17680380552 23573840736 35360761104 47147681472 70721522208 141443044416