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141375112192 = 210201768449
BaseRepresentation
bin1000001110101010011…
…1010000010000000000
3111111220200012211001101
42003222213100100000
54304014012042232
6144540303144144
713133256424516
oct2035247202000
9444820184041
10141375112192
1154a586242a6
12234962a5054
1310440738652
146bb21024b6
153a267ec1e7
hex20ea9d0400

141375112192 has 44 divisors (see below), whose sum is σ = 282756408700. Its totient is φ = 70651478016.

The previous prime is 141375112183. The next prime is 141375112247. The reversal of 141375112192 is 291211573141.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 60209381376 + 81165730816 = 245376^2 + 284896^2 .

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, 2031184 + ... + 2099632.

Almost surely, 2141375112192 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 141375112192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141378204350).

141375112192 is an abundant number, since it is smaller than the sum of its proper divisors (141381296508).

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

141375112192 is an equidigital number, since it uses as much as digits as its factorization.

141375112192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70486 (or 70468 counting only the distinct ones).

The product of its digits is 15120, while the sum is 37.

The spelling of 141375112192 in words is "one hundred forty-one billion, three hundred seventy-five million, one hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2017 4034 8068 16136 32272 64544 68449 129088 136898 258176 273796 516352 547592 1032704 1095184 2065408 2190368 4380736 8761472 17522944 35045888 70091776 138061633 276123266 552246532 1104493064 2208986128 4417972256 8835944512 17671889024 35343778048 70687556096 141375112192