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44144722744144 = 24111812293604343
BaseRepresentation
bin10100000100110001111101…
…00001001001001101010000
312210022012020121222212000121
422002120332201021031100
521241231343010303034
6233515450005000024
712204231245062411
oct1202307641111520
9183265217885017
1044144722744144
111307a743158410
124b4b6623b3014
131b82aa251a439
14ac888a375808
1551848b3351b4
hex28263e849350

44144722744144 has 80 divisors (see below), whose sum is σ = 93862465167744. Its totient is φ = 19946186841600.

The previous prime is 44144722744117. The next prime is 44144722744163.

It is a happy number.

44144722744144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44144722744091 and 44144722744100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72743637 + ... + 73347979.

Almost surely, 244144722744144 is an apocalyptic number.

44144722744144 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 44144722744144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46931232583872).

44144722744144 is an abundant number, since it is smaller than the sum of its proper divisors (49717742423600).

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

44144722744144 is a wasteful number, since it uses less digits than its factorization.

44144722744144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606836 (or 606830 counting only the distinct ones).

The product of its digits is 12845056, while the sum is 52.

The spelling of 44144722744144 in words is "forty-four trillion, one hundred forty-four billion, seven hundred twenty-two million, seven hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 181 362 724 1448 1991 2293 2896 3982 4586 7964 9172 15928 18344 25223 31856 36688 50446 100892 201784 403568 415033 604343 830066 1208686 1660132 2417372 3320264 4565363 4834744 6640528 6647773 9130726 9669488 13295546 18261452 26591092 36522904 53182184 73045808 106364368 109386083 218772166 437544332 875088664 1203246913 1385758499 1750177328 2406493826 2771516998 4812987652 5543033996 9625975304 11086067992 15243343489 19251950608 22172135984 30486686978 60973373956 121946747912 243893495824 250822288319 501644576638 1003289153276 2006578306552 2759045171509 4013156613104 5518090343018 11036180686036 22072361372072 44144722744144