Search a number
-
+
4415515022022 = 23131741739109903
BaseRepresentation
bin100000001000001000100…
…1101000101001011000110
3120122010012211111212000020
41000100101031011023012
51034320433321201042
613220243135000010
7634003402264356
oct100202115051306
916563184455006
104415515022022
111452678132715
125b390b069006
132604c5897580
141139d7cacb66
1579cce9ec3ec
hex404113452c6

4415515022022 has 128 divisors (see below), whose sum is σ = 10329428551680. Its totient is φ = 1245813903360.

The previous prime is 4415515022003. The next prime is 4415515022089. The reversal of 4415515022022 is 2202205155144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40121523 + ... + 40231425.

It is an arithmetic number, because the mean of its divisors is an integer number (80698660560).

Almost surely, 24415515022022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4415515022022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5164714275840).

4415515022022 is an abundant number, since it is smaller than the sum of its proper divisors (5913913529658).

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

4415515022022 is a wasteful number, since it uses less digits than its factorization.

4415515022022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110718.

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 4415515022022 in words is "four trillion, four hundred fifteen billion, five hundred fifteen million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 41 51 78 82 102 123 221 246 442 533 663 697 739 1066 1326 1394 1478 1599 2091 2217 3198 4182 4434 9061 9607 12563 18122 19214 25126 27183 28821 30299 37689 54366 57642 60598 75378 90897 109903 163319 181794 219806 326638 329709 393887 489957 515083 659418 787774 979914 1030166 1181661 1428739 1545249 1868351 2363322 2857478 3090498 3736702 4286217 4506023 5605053 6696079 8572434 9012046 11210106 13392158 13518069 20088237 24288563 27036138 40176474 48577126 58578299 72865689 76602391 81218317 117156598 145731378 153204782 162436634 175734897 229807173 243654951 351469794 459614346 487309902 995831083 1055838121 1380711389 1991662166 2111676242 2761422778 2987493249 3167514363 3329950997 4142134167 5974986498 6335028726 6659901994 8284268334 9989852991 17949248057 19979705982 35898496114 43289362961 53847744171 56609166949 86578725922 107695488342 113218333898 129868088883 169827500847 259736177766 339655001694 735919170337 1471838340674 2207757511011 4415515022022