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44146816044 = 2231711314912853
BaseRepresentation
bin101001000111010110…
…101111010000101100
311012221200000121200220
4221013112233100230
51210403041103134
632140351251340
73121666513332
oct510726572054
9135850017626
1044146816044
11177a47aa341
128680819b50
134217229876
1421cb21bb52
151235aad149
hexa475af42c

44146816044 has 96 divisors (see below), whose sum is σ = 110780913600. Its totient is φ = 13634224128.

The previous prime is 44146816033. The next prime is 44146816057. The reversal of 44146816044 is 44061864144.

44146816044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44146815987 and 44146816005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3428322 + ... + 3441174.

It is an arithmetic number, because the mean of its divisors is an integer number (1153967850).

Almost surely, 244146816044 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 44146816044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55390456800).

44146816044 is an abundant number, since it is smaller than the sum of its proper divisors (66634097556).

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

44146816044 is a wasteful number, since it uses less digits than its factorization.

44146816044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13139 (or 13137 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 44146816044 in words is "forty-four billion, one hundred forty-six million, eight hundred sixteen thousand, forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 113 149 204 226 298 339 447 452 596 678 894 1356 1788 1921 2533 3842 5066 5763 7599 7684 10132 11526 12853 15198 16837 23052 25706 30396 33674 38559 50511 51412 67348 77118 101022 154236 202044 218501 286229 437002 572458 655503 858687 874004 1144916 1311006 1452389 1717374 1915097 2622012 2904778 3434748 3830194 4357167 5745291 5809556 7660388 8714334 11490582 17428668 22981164 24690613 32556649 49381226 65113298 74071839 97669947 98762452 130226596 148143678 195339894 216405961 296287356 390679788 432811922 649217883 865623844 1298435766 2596871532 3678901337 7357802674 11036704011 14715605348 22073408022 44146816044