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141359456448 = 26337171997373
BaseRepresentation
bin1000001110100110101…
…1100010000011000000
3111111212120202102102000
42003221223202003000
54304001010101243
6144534543424000
713133006361120
oct2035153420300
9444776672360
10141359456448
1154a4a800971
1223490bb5000
131043a4166b2
146baddc8c80
153a252585d3
hex20e9ae20c0

141359456448 has 896 divisors, whose sum is σ = 536233420800. Its totient is φ = 35545153536.

The previous prime is 141359456443. The next prime is 141359456501. The reversal of 141359456448 is 844654953141.

141359456448 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 594 + 5 + 6 + 4 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 141359456394 and 141359456403.

It is not an unprimeable number, because it can be changed into a prime (141359456443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 378979590 + ... + 378979962.

It is an arithmetic number, because the mean of its divisors is an integer number (598474800).

Almost surely, 2141359456448 is an apocalyptic number.

141359456448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141359456448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268116710400).

141359456448 is an abundant number, since it is smaller than the sum of its proper divisors (394873964352).

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

141359456448 is a wasteful number, since it uses less digits than its factorization.

141359456448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 518 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 141359456448 in words is "one hundred forty-one billion, three hundred fifty-nine million, four hundred fifty-six thousand, four hundred forty-eight".