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144883460368 = 24292233973527
BaseRepresentation
bin1000011011101110111…
…0100010100100010000
3111211222011210100222201
42012323232202210100
54333210131212433
6150320351212544
713316230044043
oct2067356424420
9454864710881
10144883460368
1156498a331a9
12240b5217154
131087c538a0a
147026034c5a
153b7e807a7d
hex21bbba2910

144883460368 has 80 divisors (see below), whose sum is σ = 292511278080. Its totient is φ = 69435007488.

The previous prime is 144883460329. The next prime is 144883460429. The reversal of 144883460368 is 863064388441.

It is a happy number.

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, 41076621 + ... + 41080147.

It is an arithmetic number, because the mean of its divisors is an integer number (3656390976).

Almost surely, 2144883460368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144883460368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146255639040).

144883460368 is an abundant number, since it is smaller than the sum of its proper divisors (147627817712).

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

144883460368 is a wasteful number, since it uses less digits than its factorization.

144883460368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 55.

The spelling of 144883460368 in words is "one hundred forty-four billion, eight hundred eighty-three million, four hundred sixty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 29 58 116 223 232 397 446 464 794 892 1588 1784 3176 3527 3568 6352 6467 7054 11513 12934 14108 23026 25868 28216 46052 51736 56432 88531 92104 102283 103472 177062 184208 204566 354124 409132 708248 786521 818264 1400219 1416496 1573042 1636528 2567399 2800438 3146084 5134798 5600876 6292168 10269596 11201752 12584336 20539192 22403504 22809109 40606351 41078384 45618218 81212702 91236436 162425404 182472872 312248837 324850808 364945744 624497674 649701616 1248995348 2497990696 4995981392 9055216273 18110432546 36220865092 72441730184 144883460368