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44720444402744 = 231117167359498613
BaseRepresentation
bin10100010101100010010100…
…01100111110110000111000
312212100020021122212101012012
422022301022030332300320
521330144432231341434
6235040142154105052
712263642205325115
oct1212611214766070
9185306248771165
1044720444402744
111328191a007750
12502315641b188
131bc51732c4b56
14b086a404790c
15528434a303ce
hex28ac4a33ec38

44720444402744 has 128 divisors (see below), whose sum is σ = 97706006092800. Its totient is φ = 18964168919040.

The previous prime is 44720444402657. The next prime is 44720444402747.

44720444402744 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44720444402692 and 44720444402701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44720444402747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89440382 + ... + 89938994.

It is an arithmetic number, because the mean of its divisors is an integer number (763328172600).

Almost surely, 244720444402744 is an apocalyptic number.

44720444402744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44720444402744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48853003046400).

44720444402744 is an abundant number, since it is smaller than the sum of its proper divisors (52985561690056).

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

44720444402744 is a wasteful number, since it uses less digits than its factorization.

44720444402744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499173 (or 499169 counting only the distinct ones).

The product of its (nonzero) digits is 12845056, while the sum is 50.

It can be divided in two parts, 4472044 and 4402744, that added together give a palindrome (8874788).

The spelling of 44720444402744 in words is "forty-four trillion, seven hundred twenty billion, four hundred forty-four million, four hundred two thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 167 187 334 359 374 668 718 748 1336 1436 1496 1837 2839 2872 3674 3949 5678 6103 7348 7898 11356 12206 14696 15796 22712 24412 31229 31592 48824 59953 62458 67133 119906 124916 134266 239812 249832 268532 479624 498613 537064 659483 997226 1019201 1318966 1994452 2038402 2637932 3988904 4076804 5275864 5484743 8153608 8476421 10969486 11211211 16952842 21938972 22422422 33905684 43877944 44844844 67811368 83268371 89689688 93240631 166536742 179002067 186481262 333073484 358004134 372962524 666146968 716008268 745925048 915952081 1415562307 1432016536 1831904162 1969022737 2831124614 3043035139 3663808324 3938045474 5662249228 6086070278 7327616648 7876090948 11324498456 12172140556 15571185377 15752181896 24344281112 29893345189 31142370754 33473386529 59786690378 62284741508 66946773058 119573380756 124569483016 133893546116 239146761512 267787092232 328826797079 508186868213 657653594158 1016373736426 1315307188316 2032747472852 2630614376632 4065494945704 5590055550343 11180111100686 22360222201372 44720444402744