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142790271376 = 2417255572
BaseRepresentation
bin1000010011111011110…
…1101010000110010000
3111122120022002100111111
42010332331222012100
54314413302141001
6145332535023104
713213322165164
oct2047675520620
9448508070444
10142790271376
1155614427345
122381020aa94
131060799404c
146ca803cca4
153aaab88851
hex213ef6a190

142790271376 has 45 divisors (see below), whose sum is σ = 293940225219. Its totient is φ = 67183329792.

The previous prime is 142790271353. The next prime is 142790271383. The reversal of 142790271376 is 673172097241.

The square root of 142790271376 is 377876.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 79003717776 + 63786553600 = 281076^2 + 252560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25692790 + ... + 25698346.

Almost surely, 2142790271376 is an apocalyptic number.

142790271376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

142790271376 is the 377876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142790271376

142790271376 is an abundant number, since it is smaller than the sum of its proper divisors (151149953843).

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

142790271376 is an frugal number, since it uses more digits than its factorization.

142790271376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11156 (or 5576 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 49.

Multiplying 142790271376 by its sum of digits (49), we get a square (6996723297424 = 26451322).

The spelling of 142790271376 in words is "one hundred forty-two billion, seven hundred ninety million, two hundred seventy-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 5557 11114 22228 44456 88912 94469 188938 377876 755752 1511504 1605973 3211946 6423892 12847784 25695568 30880249 61760498 123520996 247041992 494083984 524964233 1049928466 2099856932 4199713864 8399427728 8924391961 17848783922 35697567844 71395135688 142790271376