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44246541024 = 25327194911261
BaseRepresentation
bin101001001101010011…
…001010001011100000
311020012121200011122200
4221031103022023200
51211104103303044
632154312533200
73124320251610
oct511523121340
9136177604580
1044246541024
1117846023184
1286aa0b1200
134231aa512a
1421da57aa40
15123e70b369
hexa4d4ca2e0

44246541024 has 144 divisors (see below), whose sum is σ = 143887816800. Its totient is φ = 12634260480.

The previous prime is 44246541013. The next prime is 44246541037. The reversal of 44246541024 is 42014564244.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 44246541024.

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, 3923554 + ... + 3934814.

It is an arithmetic number, because the mean of its divisors is an integer number (999220950).

Almost surely, 244246541024 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 44246541024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71943908400).

44246541024 is an abundant number, since it is smaller than the sum of its proper divisors (99641275776).

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

44246541024 is a wasteful number, since it uses less digits than its factorization.

44246541024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13233 (or 13222 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 44246541024 in words is "forty-four billion, two hundred forty-six million, five hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1949 2016 3898 5847 7796 11261 11694 13643 15592 17541 22522 23388 27286 31184 33783 35082 40929 45044 46776 54572 62368 67566 70164 78827 81858 90088 93552 101349 109144 122787 135132 140328 157654 163716 180176 187104 202698 218288 236481 245574 270264 280656 315308 327432 360352 405396 436576 472962 491148 540528 561312 630616 654864 709443 810792 945924 982296 1081056 1261232 1309728 1418886 1621584 1891848 1964592 2522464 2837772 3243168 3783696 3929184 5675544 7567392 11351088 21947689 22702176 43895378 65843067 87790756 131686134 153633823 175581512 197529201 263372268 307267646 351163024 395058402 460901469 526744536 614535292 702326048 790116804 921802938 1053489072 1229070584 1382704407 1580233608 1843605876 2106978144 2458141168 2765408814 3160467216 3687211752 4916282336 5530817628 6320934432 7374423504 11061635256 14748847008 22123270512 44246541024