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444101135136 = 253263148911813
BaseRepresentation
bin1100111011001100111…
…11011000101100100000
31120110022011122011021020
412131212133120230200
524234004342311021
6540003420325440
744041145236011
oct6354637305440
91513264564236
10444101135136
11161384570a1a
12720a06a3880
1332b56262689
14176cd2cd008
15b8434817c6
hex67667d8b20

444101135136 has 96 divisors (see below), whose sum is σ = 1171083070080. Its totient is φ = 147359330304.

The previous prime is 444101135129. The next prime is 444101135167. The reversal of 444101135136 is 631531101444.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 444101135097 and 444101135106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37588366 + ... + 37600178.

It is an arithmetic number, because the mean of its divisors is an integer number (12198781980).

Almost surely, 2444101135136 is an apocalyptic number.

It is an amenable number.

444101135136 is an abundant number, since it is smaller than the sum of its proper divisors (726981934944).

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

444101135136 is a wasteful number, since it uses less digits than its factorization.

444101135136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13578 (or 13570 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 444101135136 in words is "four hundred forty-four billion, one hundred one million, one hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 263 526 789 1052 1489 1578 2104 2978 3156 4208 4467 5956 6312 8416 8934 11813 11912 12624 17868 23626 23824 25248 35439 35736 47252 47648 70878 71472 94504 141756 142944 189008 283512 378016 391607 567024 783214 1134048 1174821 1566428 2349642 3106819 3132856 4699284 6213638 6265712 9320457 9398568 12427276 12531424 17589557 18640914 18797136 24854552 35179114 37281828 37594272 49709104 52768671 70358228 74563656 99418208 105537342 140716456 149127312 211074684 281432912 298254624 422149368 562865824 844298736 1688597472 4626053491 9252106982 13878160473 18504213964 27756320946 37008427928 55512641892 74016855856 111025283784 148033711712 222050567568 444101135136