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21121144044 = 223721113251191
BaseRepresentation
bin10011101010111010…
…110001010011101100
32000111222011021202020
4103222322301103230
5321224003102134
613411455230140
71345254522300
oct235272612354
960458137666
1021121144044
118a59376150
124115518350
131cb7a4c690
141045169d00
158393cbb49
hex4eaeb14ec

21121144044 has 144 divisors (see below), whose sum is σ = 67351608576. Its totient is φ = 5063990400.

The previous prime is 21121144039. The next prime is 21121144049. The reversal of 21121144044 is 44044112112.

It is an interprime number because it is at equal distance from previous prime (21121144039) and next prime (21121144049).

It is a super-2 number, since 2×211211440442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21121144049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41512 + ... + 209679.

It is an arithmetic number, because the mean of its divisors is an integer number (467719504).

Almost surely, 221121144044 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 21121144044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33675804288).

21121144044 is an abundant number, since it is smaller than the sum of its proper divisors (46230464532).

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

21121144044 is a wasteful number, since it uses less digits than its factorization.

21121144044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251236 (or 251227 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 21121144044 its reverse (44044112112), we get a palindrome (65165256156).

It can be divided in two parts, 211211 and 44044, that added together give a triangular number (255255 = T714).

The spelling of 21121144044 in words is "twenty-one billion, one hundred twenty-one million, one hundred forty-four thousand, forty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 66 77 78 84 91 98 132 143 147 154 156 182 196 231 273 286 294 308 364 429 462 539 546 572 588 637 858 924 1001 1078 1092 1274 1617 1716 1911 2002 2156 2548 3003 3234 3822 4004 6006 6468 7007 7644 12012 14014 21021 28028 42042 84084 251191 502382 753573 1004764 1507146 1758337 2763101 3014292 3265483 3516674 5275011 5526202 6530966 7033348 8289303 9796449 10550022 11052404 12308359 13061932 16578606 19341707 19592898 21100044 22858381 24616718 33157212 35920313 36925077 38683414 39185796 45716762 49233436 58025121 68575143 71840626 73850154 77366828 91433524 107760939 116050242 135391949 137150286 143681252 147700308 160008667 215521878 232100484 251442191 270783898 274300572 320017334 406175847 431043756 480026001 502884382 541567796 640034668 754326573 812351694 960052002 1005768764 1508653146 1624703388 1760095337 1920104004 3017306292 3520190674 5280286011 7040381348 10560572022 21121144044