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20034362441232 = 2432190377308269
BaseRepresentation
bin1001000111000100111010…
…00011100111111000010000
32121221021012011110101101100
410203202131003213320100
510111220333241104412
6110335354204304400
74135302114656166
oct443423503477020
977837164411340
1020034362441232
1164245863377a7
1222b6963542100
13b243033bb4b9
144d394dc05236
1524b216979edc
hex12389d0e7e10

20034362441232 has 60 divisors (see below), whose sum is σ = 56071342236780. Its totient is φ = 6677769103104.

The previous prime is 20034362441213. The next prime is 20034362441237. The reversal of 20034362441232 is 23214426343002.

20034362441232 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 4 + 3 + 624 + 4 + 1 + 23 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1902810571776 + 18131551869456 = 1379424^2 + 4258116^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20034362441237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 912807 + ... + 6395462.

It is an arithmetic number, because the mean of its divisors is an integer number (934522370613).

Almost surely, 220034362441232 is an apocalyptic number.

It is an amenable number.

20034362441232 is an abundant number, since it is smaller than the sum of its proper divisors (36036979795548).

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

20034362441232 is a wasteful number, since it uses less digits than its factorization.

20034362441232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7327320 (or 7327311 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 20034362441232 its reverse (23214426343002), we get a palindrome (43248788784234).

The spelling of 20034362441232 in words is "twenty trillion, thirty-four billion, three hundred sixty-two million, four hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 19037 38074 57111 76148 114222 152296 171333 228444 304592 342666 456888 685332 913776 1370664 2741328 7308269 14616538 21924807 29233076 43849614 58466152 65774421 87699228 116932304 131548842 175398456 263097684 350796912 526195368 1052390736 139127516953 278255033906 417382550859 556510067812 834765101718 1113020135624 1252147652577 1669530203436 2226040271248 2504295305154 3339060406872 5008590610308 6678120813744 10017181220616 20034362441232