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44426606214144 = 21037112361263509
BaseRepresentation
bin10100001100111111000000…
…00101001111110000000000
312211022010211120110210122010
422012133200011033300000
521310341142142323034
6234253145014012520
712233500501043250
oct1206374005176000
9184263746423563
1044426606214144
1113179244010570
124b96210647140
131ba3545c380bb
14ad838b3d5960
155209882bd3e9
hex2867e014fc00

44426606214144 has 1408 divisors, whose sum is σ = 157480252047360. Its totient is φ = 10794192076800.

The previous prime is 44426606214127. The next prime is 44426606214149. The reversal of 44426606214144 is 44141260662444.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 44426606214093 and 44426606214102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44426606214149) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87282133762 + ... + 87282134270.

It is an arithmetic number, because the mean of its divisors is an integer number (111846769920).

Almost surely, 244426606214144 is an apocalyptic number.

44426606214144 is a gapful number since it is divisible by the number (44) 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 44426606214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78740126023680).

44426606214144 is an abundant number, since it is smaller than the sum of its proper divisors (113053645833216).

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

44426606214144 is a wasteful number, since it uses less digits than its factorization.

44426606214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 48.

Adding to 44426606214144 its reverse (44141260662444), we get a palindrome (88567866876588).

The spelling of 44426606214144 in words is "forty-four trillion, four hundred twenty-six billion, six hundred six million, two hundred fourteen thousand, one hundred forty-four".