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20440141024 = 251970947417
BaseRepresentation
bin10011000010010100…
…111100110011100000
31221202111201202020011
4103002110330303200
5313330134003044
613220131054304
71322345221612
oct230224746340
957674652204
1020440141024
118739a21536
123b65441394
131c09932004
14dbc938db2
157e970d134
hex4c253cce0

20440141024 has 48 divisors (see below), whose sum is σ = 42420142800. Its totient is φ = 9668312064.

The previous prime is 20440141003. The next prime is 20440141061. The reversal of 20440141024 is 42014104402.

It is a junction number, because it is equal to n+sod(n) for n = 20440140986 and 20440141004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407364 + ... + 454780.

It is an arithmetic number, because the mean of its divisors is an integer number (883752975).

Almost surely, 220440141024 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 20440141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21210071400).

20440141024 is an abundant number, since it is smaller than the sum of its proper divisors (21980001776).

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

20440141024 is a wasteful number, since it uses less digits than its factorization.

20440141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48155 (or 48147 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 20440141024 its reverse (42014104402), we get a palindrome (62454245426).

It can be divided in two parts, 20 and 440141024, that added together give a palindrome (440141044).

The spelling of 20440141024 in words is "twenty billion, four hundred forty million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 709 1418 2836 5672 11344 13471 22688 26942 47417 53884 94834 107768 189668 215536 379336 431072 758672 900923 1517344 1801846 3603692 7207384 14414768 28829536 33618653 67237306 134474612 268949224 537898448 638754407 1075796896 1277508814 2555017628 5110035256 10220070512 20440141024