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44131735662 = 23743213111467
BaseRepresentation
bin101001000110011101…
…001101100001101110
311012220121122110022020
4221012131031201232
51210340211020122
632135052131010
73121424364240
oct510635154156
9135817573266
1044131735662
111779723a213
128677766a66
134214079771
1421c9214090
1512345cec5c
hexa4674d86e

44131735662 has 64 divisors (see below), whose sum is σ = 103275853824. Its totient is φ = 12308980320.

The previous prime is 44131735591. The next prime is 44131735663. The reversal of 44131735662 is 26653713144.

44131735662 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×441317356622 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44131735663) 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, 3842853 + ... + 3854319.

It is an arithmetic number, because the mean of its divisors is an integer number (1613685216).

Almost surely, 244131735662 is an apocalyptic number.

44131735662 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 44131735662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51637926912).

44131735662 is an abundant number, since it is smaller than the sum of its proper divisors (59144118162).

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

44131735662 is a wasteful number, since it uses less digits than its factorization.

44131735662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13653.

The product of its digits is 362880, while the sum is 42.

The spelling of 44131735662 in words is "forty-four billion, one hundred thirty-one million, seven hundred thirty-five thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 602 903 1806 2131 4262 6393 11467 12786 14917 22934 29834 34401 44751 68802 80269 89502 91633 160538 183266 240807 274899 481614 493081 549798 641431 986162 1282862 1479243 1924293 2958486 3451567 3848586 6903134 10354701 20709402 24436177 48872354 73308531 146617062 171053239 342106478 513159717 1026319434 1050755611 2101511222 3152266833 6304533666 7355289277 14710578554 22065867831 44131735662