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44311351056 = 24377115112301
BaseRepresentation
bin101001010001001010…
…011000111100010000
311020101010121212022020
4221101022120330100
51211222201213211
632204550011440
73126035161260
oct512112307420
9136333555266
1044311351056
1117879669995
128707946b80
13424234756b
14220500b7a0
15124525e306
hexa51298f10

44311351056 has 160 divisors (see below), whose sum is σ = 133556023296. Its totient is φ = 12398400000.

The previous prime is 44311351001. The next prime is 44311351079. The reversal of 44311351056 is 65015311344.

It is a happy number.

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, 3596106 + ... + 3608406.

Almost surely, 244311351056 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 44311351056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66778011648).

44311351056 is an abundant number, since it is smaller than the sum of its proper divisors (89244672240).

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

44311351056 is a wasteful number, since it uses less digits than its factorization.

44311351056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12541 (or 12535 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 44311351056 in words is "forty-four billion, three hundred eleven million, three hundred fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 151 168 213 284 302 336 426 453 497 568 604 852 906 994 1057 1136 1208 1491 1704 1812 1988 2114 2416 2982 3171 3408 3624 3976 4228 5964 6342 7248 7952 8456 10721 11928 12301 12684 16912 21442 23856 24602 25368 32163 36903 42884 49204 50736 64326 73806 75047 85768 86107 98408 128652 147612 150094 171536 172214 196816 225141 257304 258321 295224 300188 344428 450282 514608 516642 590448 600376 688856 873371 900564 1033284 1200752 1377712 1746742 1801128 1857451 2066568 2620113 3493484 3602256 3714902 4133136 5240226 5572353 6113597 6986968 7429804 10480452 11144706 12227194 13002157 13973936 14859608 18340791 20960904 22289412 24454388 26004314 29719216 36681582 39006471 41921808 44578824 48908776 52008628 73363164 78012942 89157648 97817552 104017256 131879021 146726328 156025884 208034512 263758042 293452656 312051768 395637063 527516084 624103536 791274126 923153147 1055032168 1582548252 1846306294 2110064336 2769459441 3165096504 3692612588 5538918882 6330193008 7385225176 11077837764 14770450352 22155675528 44311351056