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141064953344 = 297172922753
BaseRepresentation
bin1000001101100000100…
…0000101111000000000
3111111010001121010002122
42003120020011320000
54302400112001334
6144445423303412
713122502214360
oct2033010057000
9444101533078
10141064953344
1154909541377
122340a44ab68
13103c13c18c3
146b82c469a0
153a0948332e
hex20d8205e00

141064953344 has 240 divisors, whose sum is σ = 353362303008. Its totient is φ = 54918119424.

The previous prime is 141064953319. The next prime is 141064953391. The reversal of 141064953344 is 443359460141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 141064953295 and 141064953304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51239072 + ... + 51241824.

Almost surely, 2141064953344 is an apocalyptic number.

141064953344 is a gapful number since it is divisible by the number (14) 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 141064953344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176681151504).

141064953344 is an abundant number, since it is smaller than the sum of its proper divisors (212297349664).

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

141064953344 is an equidigital number, since it uses as much as digits as its factorization.

141064953344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 141064953344 in words is "one hundred forty-one billion, sixty-four million, nine hundred fifty-three thousand, three hundred forty-four".