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44146301136 = 24372115411151
BaseRepresentation
bin101001000111010100…
…110001100011010000
311012221122001110101020
4221013110301203100
51210402423114021
632140332235440
73121662240210
oct510724614320
9135848043336
1044146301136
11177a44884a3
12868060bb80
1342170a93a2
1421cb126240
151235a0a7c6
hexa475318d0

44146301136 has 160 divisors (see below), whose sum is σ = 131310452736. Its totient is φ = 12519360000.

The previous prime is 44146301117. The next prime is 44146301149. The reversal of 44146301136 is 63110364144.

It is a junction number, because it is equal to n+sod(n) for n = 44146301097 and 44146301106.

It is a congruent 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, 38354161 + ... + 38355311.

Almost surely, 244146301136 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 44146301136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65655226368).

44146301136 is an abundant number, since it is smaller than the sum of its proper divisors (87164151600).

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

44146301136 is a wasteful number, since it uses less digits than its factorization.

44146301136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 44146301136 in words is "forty-four billion, one hundred forty-six million, three hundred one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 211 336 422 541 633 844 1082 1151 1266 1477 1623 1688 2164 2302 2532 2954 3246 3376 3453 3787 4328 4431 4604 5064 5908 6492 6906 7574 8057 8656 8862 9208 10128 11361 11816 12984 13812 15148 16114 17724 18416 22722 23632 24171 25968 27624 30296 32228 35448 45444 48342 55248 60592 64456 70896 90888 96684 114151 128912 181776 193368 228302 242861 342453 386736 456604 485722 622691 684906 728583 799057 913208 971444 1245382 1369812 1457166 1598114 1700027 1826416 1868073 1942888 2397171 2490764 2739624 2914332 3196228 3400054 3736146 3885776 4358837 4794342 4981528 5100081 5479248 5828664 6392456 6800108 7472292 8717674 9588684 9963056 10200162 11657328 12784912 13076511 13600216 14944584 17435348 19177368 20400324 26153022 27200432 29889168 34870696 38354736 40800648 52306044 69741392 81601296 104612088 131387801 209224176 262775602 394163403 525551204 788326806 919714607 1051102408 1576653612 1839429214 2102204816 2759143821 3153307224 3678858428 5518287642 6306614448 7357716856 11036575284 14715433712 22073150568 44146301136