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141321204224 = 29929297113
BaseRepresentation
bin1000001110011101100…
…1100111001000000000
3111111202220210000012222
42003213121213020000
54303411212013344
6144531055510212
713132033262444
oct2034731471000
9444686700188
10141321204224
1154a30154462
1223480228368
1310432512545
146ba8cac824
153a21bee5ee
hex20e7667200

141321204224 has 40 divisors (see below), whose sum is σ = 282671288460. Its totient is φ = 70584303616.

The previous prime is 141321204161. The next prime is 141321204253. The reversal of 141321204224 is 422402123141.

It can be written as a sum of positive squares in 2 ways, for example, as 130488557824 + 10832646400 = 361232^2 + 104080^2 .

It is a junction number, because it is equal to n+sod(n) for n = 141321204193 and 141321204202.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327092 + ... + 624204.

Almost surely, 2141321204224 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 141321204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141335644230).

141321204224 is an abundant number, since it is smaller than the sum of its proper divisors (141350084236).

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

141321204224 is an frugal number, since it uses more digits than its factorization.

141321204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298060 (or 298044 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 141321204224 its reverse (422402123141), we get a palindrome (563723327365).

The spelling of 141321204224 in words is "one hundred forty-one billion, three hundred twenty-one million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 929 1858 3716 7432 14864 29728 59456 118912 237824 297113 475648 594226 1188452 2376904 4753808 9507616 19015232 38030464 76060928 152121856 276017977 552035954 1104071908 2208143816 4416287632 8832575264 17665150528 35330301056 70660602112 141321204224