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1024231221024 = 25311969915929
BaseRepresentation
bin11101110011110001111…
…00000010011100100000
310121220201102201222210120
432321320330002130200
5113240111143033044
62102305245400240
7133666255506204
oct16717074023440
93556642658716
101024231221024
113654129059a0
12146604b69080
137577a460b4b
1437804670b04
151b998bcc519
hexee78f02720

1024231221024 has 48 divisors (see below), whose sum is σ = 2933025772320. Its totient is φ = 310373096960.

The previous prime is 1024231220953. The next prime is 1024231221029. The reversal of 1024231221024 is 4201221324201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1024231220985 and 1024231221003.

It is not an unprimeable number, because it can be changed into a prime (1024231221029) 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 7 ways as a sum of consecutive naturals, for example, 484956909 + ... + 484959020.

It is an arithmetic number, because the mean of its divisors is an integer number (61104703590).

Almost surely, 21024231221024 is an apocalyptic number.

It is an amenable number.

1024231221024 is an abundant number, since it is smaller than the sum of its proper divisors (1908794551296).

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

1024231221024 is a wasteful number, since it uses less digits than its factorization.

1024231221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969915953 (or 969915945 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1024231221024 its reverse (4201221324201), we get a palindrome (5225452545225).

The spelling of 1024231221024 in words is "one trillion, twenty-four billion, two hundred thirty-one million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 969915929 1939831858 2909747787 3879663716 5819495574 7759327432 10669075219 11638991148 15518654864 21338150438 23277982296 31037309728 32007225657 42676300876 46555964592 64014451314 85352601752 93111929184 128028902628 170705203504 256057805256 341410407008 512115610512 1024231221024