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44115729912 = 233217313115151
BaseRepresentation
bin101001000101100000…
…001001110111111000
311012212111112021112200
4221011200021313320
51210322111324122
632133321110200
73121141342242
oct510540116770
9135774467480
1044115729912
11177891a7921
128672328360
1342109643c7
1421c7049092
151232ebc5ac
hexa45809df8

44115729912 has 96 divisors (see below), whose sum is σ = 126913625280. Its totient is φ = 13795891200.

The previous prime is 44115729893. The next prime is 44115729923. The reversal of 44115729912 is 21992751144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325537 + ... + 440687.

It is an arithmetic number, because the mean of its divisors is an integer number (1322016930).

Almost surely, 244115729912 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 44115729912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63456812640).

44115729912 is an abundant number, since it is smaller than the sum of its proper divisors (82797895368).

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

44115729912 is a wasteful number, since it uses less digits than its factorization.

44115729912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115493 (or 115486 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 44115729912 in words is "forty-four billion, one hundred fifteen million, seven hundred twenty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 313 408 612 626 939 1224 1252 1878 2504 2817 3756 5321 5634 7512 10642 11268 15963 21284 22536 31926 42568 47889 63852 95778 115151 127704 191556 230302 345453 383112 460604 690906 921208 1036359 1381812 1957567 2072718 2763624 3915134 4145436 5872701 7830268 8290872 11745402 15660536 17618103 23490804 35236206 36042263 46981608 70472412 72084526 108126789 140944824 144169052 216253578 288338104 324380367 432507156 612718471 648760734 865014312 1225436942 1297521468 1838155413 2450873884 2595042936 3676310826 4901747768 5514466239 7352621652 11028932478 14705243304 22057864956 44115729912