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44149672480 = 2554112975189
BaseRepresentation
bin101001000111100001…
…101000101000100000
311012221212101201222211
4221013201220220200
51210404304004410
632140532411504
73122033011204
oct510741505040
9135855351884
1044149672480
11177a6380431
128681776b94
1342179b9a74
1421cb762b04
151235e7468a
hexa47868a20

44149672480 has 96 divisors (see below), whose sum is σ = 106950579120. Its totient is φ = 17212538880.

The previous prime is 44149672459. The next prime is 44149672481. The reversal of 44149672480 is 8427694144.

It can be written as a sum of positive squares in 8 ways, for example, as 29286161424 + 14863511056 = 171132^2 + 121916^2 .

It is not an unprimeable number, because it can be changed into a prime (44149672481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8505726 + ... + 8510914.

Almost surely, 244149672480 is an apocalyptic number.

44149672480 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 44149672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53475289560).

44149672480 is an abundant number, since it is smaller than the sum of its proper divisors (62800906640).

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

44149672480 is a wasteful number, since it uses less digits than its factorization.

44149672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542 (or 6534 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 44149672480 in words is "forty-four billion, one hundred forty-nine million, six hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1297 1312 1640 2594 3280 5188 5189 6485 6560 10376 10378 12970 20752 20756 25940 25945 41504 41512 51880 51890 53177 83024 103760 103780 106354 166048 207520 207560 212708 212749 265885 415120 425416 425498 531770 830240 850832 850996 1063540 1063745 1701664 1701992 2127080 2127490 3403984 4254160 4254980 6730133 6807968 8508320 8509960 13460266 17019920 26920532 33650665 34039840 53841064 67301330 107682128 134602660 215364256 269205320 275935453 538410640 551870906 1076821280 1103741812 1379677265 2207483624 2759354530 4414967248 5518709060 8829934496 11037418120 22074836240 44149672480