Search a number
-
+
142040343034431 = 32173925992364673
BaseRepresentation
bin100000010010111101011000…
…001100001011101000111111
3200121220220221201121212211200
4200102331120030023220333
5122104142110304100211
61222032233251150543
741630035053651252
oct4022753014135077
9617826851555750
10142040343034431
1141292a757279a6
1213b204535a5453
136134468111b7a
142710b09b21099
151164bde160b56
hex812f5830ba3f

142040343034431 has 24 divisors (see below), whose sum is σ = 217238816901600. Its totient is φ = 89123087794176.

The previous prime is 142040343034409. The next prime is 142040343034493. The reversal of 142040343034431 is 134430343040241.

142040343034431 is a `hidden beast` number, since 1 + 4 + 204 + 0 + 3 + 4 + 3 + 0 + 3 + 443 + 1 = 666.

It is not a de Polignac number, because 142040343034431 - 211 = 142040343032383 is a prime.

It is a super-2 number, since 2×1420403430344312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142040343034631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58885311 + ... + 61249983.

It is an arithmetic number, because the mean of its divisors is an integer number (9051617370900).

Almost surely, 2142040343034431 is an apocalyptic number.

142040343034431 is a deficient number, since it is larger than the sum of its proper divisors (75198473867169).

142040343034431 is a wasteful number, since it uses less digits than its factorization.

142040343034431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757295 (or 2757292 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 142040343034431 its reverse (134430343040241), we get a palindrome (276470686074672).

The spelling of 142040343034431 in words is "one hundred forty-two trillion, forty billion, three hundred forty-three million, thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 17 51 153 392599 1177797 2364673 3533391 6674183 7094019 20022549 21282057 40199441 60067647 120598323 361794969 928368255127 2785104765381 8355314296143 15782260337159 47346781011477 142040343034431