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44244262480 = 2451191954709
BaseRepresentation
bin101001001101001010…
…011101111001010000
311020012110101102002011
4221031022131321100
51211103012344410
632154152032304
73124262011615
oct511512357120
9136173342064
1044244262480
1117844807290
1286a9392694
134231487c92
1421da14650c
15123e40b18a
hexa4d29de50

44244262480 has 80 divisors (see below), whose sum is σ = 112343702400. Its totient is φ = 16071022080.

The previous prime is 44244262457. The next prime is 44244262481. The reversal of 44244262480 is 8426244244.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44244262481) by changing a digit.

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, 781366 + ... + 836074.

It is an arithmetic number, because the mean of its divisors is an integer number (1404296280).

Almost surely, 244244262480 is an apocalyptic number.

44244262480 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 44244262480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56171851200).

44244262480 is an abundant number, since it is smaller than the sum of its proper divisors (68099439920).

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

44244262480 is a wasteful number, since it uses less digits than its factorization.

44244262480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55652 (or 55646 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 40.

The spelling of 44244262480 in words is "forty-four billion, two hundred forty-four million, two hundred sixty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 919 1838 3676 4595 7352 9190 10109 14704 18380 20218 36760 40436 50545 54709 73520 80872 101090 109418 161744 202180 218836 273545 404360 437672 547090 601799 808720 875344 1094180 1203598 2188360 2407196 3008995 4376720 4814392 6017990 9628784 12035980 24071960 48143920 50277571 100555142 201110284 251387855 402220568 502775710 553053281 804441136 1005551420 1106106562 2011102840 2212213124 2765266405 4022205680 4424426248 5530532810 8848852496 11061065620 22122131240 44244262480