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44402423440 = 24531107167329
BaseRepresentation
bin101001010110100101…
…110011011010010000
311020121110222211010111
4221112211303122100
51211414010022230
632222002011104
73131222241364
oct512645633220
9136543884114
1044402423440
1117916012a21
128732346a94
13425818364b
1422131572a4
15124d24d92a
hexa56973690

44402423440 has 80 divisors (see below), whose sum is σ = 107562401280. Its totient is φ = 17027297280.

The previous prime is 44402423419. The next prime is 44402423477. The reversal of 44402423440 is 4432420444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×444024234402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181696 + ... + 349024.

It is an arithmetic number, because the mean of its divisors is an integer number (1344530016).

Almost surely, 244402423440 is an apocalyptic number.

44402423440 is a gapful number since it is divisible by the number (40) 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 44402423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53781200640).

44402423440 is an abundant number, since it is smaller than the sum of its proper divisors (63159977840).

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

44402423440 is a wasteful number, since it uses less digits than its factorization.

44402423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167480 (or 167474 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

Adding to 44402423440 its reverse (4432420444), we get a palindrome (48834843884).

The spelling of 44402423440 in words is "forty-four billion, four hundred two million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 107 124 155 214 248 310 428 496 535 620 856 1070 1240 1712 2140 2480 3317 4280 6634 8560 13268 16585 26536 33170 53072 66340 132680 167329 265360 334658 669316 836645 1338632 1673290 2677264 3346580 5187199 6693160 10374398 13386320 17904203 20748796 25935995 35808406 41497592 51871990 71616812 82995184 89521015 103743980 143233624 179042030 207487960 286467248 358084060 414975920 555030293 716168120 1110060586 1432336240 2220121172 2775151465 4440242344 5550302930 8880484688 11100605860 22201211720 44402423440