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142373793338401 = 5322251332
BaseRepresentation
bin100000010111110011111011…
…011000001001010000100001
3200200002210122110012102012211
4200113303323120021100201
5122130123012043312101
61222445341232322121
741663111215532002
oct4027637330112041
9620083573172184
10142373793338401
1141401428731709
1213b74bb33a3341
136159a39092241
142722cdd6111a9
15116d7082dac51
hex817cfb609421

142373793338401 has 9 divisors (see below), whose sum is σ = 145111420752249. Its totient is φ = 139686874884336.

The previous prime is 142373793338393. The next prime is 142373793338407. The reversal of 142373793338401 is 104833397373241.

It is a happy number.

The square root of 142373793338401 is 11932049.

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 37847706898401 + 104526086440000 = 6152049^2 + 10223800^2 .

It is not a de Polignac number, because 142373793338401 - 23 = 142373793338393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142373793338407) 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, 632286031 + ... + 632511163.

Almost surely, 2142373793338401 is an apocalyptic number.

142373793338401 is the 11932049-th square number.

142373793338401 is the 5966025-th centered octagonal number.

It is an amenable number.

142373793338401 is a deficient number, since it is larger than the sum of its proper divisors (2737627413848).

142373793338401 is an frugal number, since it uses more digits than its factorization.

142373793338401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450372 (or 225186 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 58.

The spelling of 142373793338401 in words is "one hundred forty-two trillion, three hundred seventy-three billion, seven hundred ninety-three million, three hundred thirty-eight thousand, four hundred one".

Divisors: 1 53 2809 225133 11932049 632398597 50684867689 2686297987517 142373793338401