Search a number
-
+
143920596928 = 2661149924593
BaseRepresentation
bin1000011000001001010…
…1100000011111000000
3111202111001222211122211
42012002111200133000
54324222133100203
6150041033511504
713253325614023
oct2060225403700
9452431884584
10143920596928
1156044474699
1223a86872594
1310757c01c34
146d741d31ba
153b2500ec6d
hex21825607c0

143920596928 has 56 divisors (see below), whose sum is σ = 290479734000. Its totient is φ = 70730526720.

The previous prime is 143920596923. The next prime is 143920596949. The reversal of 143920596928 is 829695029341.

It is a super-2 number, since 2×1439205969282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143920596923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5839800 + ... + 5864392.

Almost surely, 2143920596928 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 143920596928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145239867000).

143920596928 is an abundant number, since it is smaller than the sum of its proper divisors (146559137072).

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

143920596928 is a wasteful number, since it uses less digits than its factorization.

143920596928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26165 (or 26155 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 58.

The spelling of 143920596928 in words is "one hundred forty-three billion, nine hundred twenty million, five hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1499 1952 2998 3904 5996 11992 23984 24593 47968 49186 91439 95936 98372 182878 196744 365756 393488 731512 786976 1463024 1500173 1573952 2926048 3000346 5852096 6000692 12001384 24002768 36864907 48005536 73729814 96011072 147459628 294919256 589838512 1179677024 2248759327 2359354048 4497518654 8995037308 17990074616 35980149232 71960298464 143920596928