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20042440130024 = 23132173132785997
BaseRepresentation
bin1001000111010011111101…
…00001100011110111101000
32121222001001010001111021022
410203221332201203313220
510111333404133130044
6110343211521232012
74136006231125244
oct443517641436750
977861033044238
1020042440130024
116427a50a47964
1222b8438792608
13b24cbca62a00
144d40b8933424
1524b53abbe3ee
hex123a7e863de8

20042440130024 has 96 divisors (see below), whose sum is σ = 43224034610520. Its totient is φ = 8678399827968.

The previous prime is 20042440129993. The next prime is 20042440130101. The reversal of 20042440130024 is 42003104424002.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 62595036100 + 19979845093924 = 250190^2 + 4469882^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 20042440129975 and 20042440130002.

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, 5800994 + ... + 8586990.

Almost surely, 220042440130024 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 20042440130024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21612017305260).

20042440130024 is an abundant number, since it is smaller than the sum of its proper divisors (23181594480496).

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

20042440130024 is a wasteful number, since it uses less digits than its factorization.

20042440130024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786359 (or 2786342 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 20042440130024 its reverse (42003104424002), we get a palindrome (62045544554026).

The spelling of 20042440130024 in words is "twenty trillion, forty-two billion, four hundred forty million, one hundred thirty thousand, twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 313 338 442 626 676 884 1252 1352 1768 2504 2873 4069 5321 5746 8138 10642 11492 16276 21284 22984 32552 42568 52897 69173 105794 138346 211588 276692 423176 553384 899249 1798498 2785997 3596996 5571994 7193992 11143988 22287976 36217961 47361949 72435922 94723898 144871844 189447796 289743688 378895592 470833493 615705337 872017061 941666986 1231410674 1744034122 1883333972 2462821348 3488068244 3766667944 4925642696 6976136488 8004169381 11336221793 14824290037 16008338762 22672443586 29648580074 32016677524 45344887172 59297160148 64033355048 90689774344 118594320296 147370883309 192715770481 294741766618 385431540962 589483533236 770863081924 1178967066472 1541726163848 2505305016253 5010610032506 10021220065012 20042440130024