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142518468 = 223192167197
BaseRepresentation
bin10000111111010…
…10100011000100
3100221011200120210
420133222203010
5242441042333
622050355420
73350246511
oct1037524304
9327150523
10142518468
11734a2264
123b88bb70
13236ac771
1414cdc308
15c7a2a63
hex87ea8c4

142518468 has 72 divisors (see below), whose sum is σ = 354860352. Its totient is φ = 44509248.

The previous prime is 142518461. The next prime is 142518479. The reversal of 142518468 is 864815241.

It is not an unprimeable number, because it can be changed into a prime (142518461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 723346 + ... + 723542.

It is an arithmetic number, because the mean of its divisors is an integer number (4928616).

Almost surely, 2142518468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142518468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177430176).

142518468 is an abundant number, since it is smaller than the sum of its proper divisors (212341884).

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

142518468 is a wasteful number, since it uses less digits than its factorization.

142518468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 142518468 is about 11938.1099006501. The cubic root of 142518468 is about 522.3445267453.

It can be divided in two parts, 1425 and 18468, that multiplied together give a square (26316900 = 51302).

The spelling of 142518468 in words is "one hundred forty-two million, five hundred eighteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 167 197 228 334 361 394 501 591 668 722 788 1002 1083 1182 1444 2004 2166 2364 3173 3743 4332 6346 7486 9519 11229 12692 14972 19038 22458 32899 38076 44916 60287 65798 71117 98697 120574 131596 142234 180861 197394 213351 241148 284468 361722 394788 426702 625081 723444 853404 1250162 1875243 2500324 3750486 7500972 11876539 23753078 35629617 47506156 71259234 142518468