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142393777201 = 132290272
BaseRepresentation
bin1000010010011101010…
…1001001110000110001
3111121112200000100202001
42010213111021300301
54313110301332301
6145225332454001
713200436064404
oct2044725116061
9447480010661
10142393777201
1155430636405
122371b47a301
13105737ac400
146c6b50bd3b
153a85e68c01
hex2127549c31

142393777201 has 9 divisors (see below), whose sum is σ = 154195023531. Its totient is φ = 131435881512.

The previous prime is 142393777199. The next prime is 142393777217. The reversal of 142393777201 is 102777393241.

The square root of 142393777201 is 377351.

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

It can be written as a sum of positive squares in only one way, i.e., 21064168225 + 121329608976 = 145135^2 + 348324^2 .

It is not a de Polignac number, because 142393777201 - 21 = 142393777199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142393777291) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4891050 + ... + 4920076.

Almost surely, 2142393777201 is an apocalyptic number.

142393777201 is the 377351-st square number.

142393777201 is the 188676-th centered octagonal number.

It is an amenable number.

142393777201 is a deficient number, since it is larger than the sum of its proper divisors (11801246330).

142393777201 is an frugal number, since it uses more digits than its factorization.

142393777201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58080 (or 29040 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 46.

The spelling of 142393777201 in words is "one hundred forty-two billion, three hundred ninety-three million, seven hundred seventy-seven thousand, two hundred one".

Divisors: 1 13 169 29027 377351 4905563 842566729 10953367477 142393777201