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142242504312 = 2331711326311731
BaseRepresentation
bin1000010001111001010…
…0000101111001111000
3111121011010100220100110
42010132110011321320
54312303040114222
6145202330304320
713163621223516
oct2043624057170
9447133326313
10142242504312
1155363204897
12236988880a0
131054b35601c
146c553b14b6
153a77a3730c
hex211e505e78

142242504312 has 128 divisors (see below), whose sum is σ = 381333173760. Its totient is φ = 44058255360.

The previous prime is 142242504301. The next prime is 142242504359. The reversal of 142242504312 is 213405242241.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 142242504312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12119487 + ... + 12131217.

It is an arithmetic number, because the mean of its divisors is an integer number (2979165420).

Almost surely, 2142242504312 is an apocalyptic number.

142242504312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142242504312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190666586880).

142242504312 is an abundant number, since it is smaller than the sum of its proper divisors (239090669448).

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

142242504312 is a wasteful number, since it uses less digits than its factorization.

142242504312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12133 (or 12129 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 142242504312 its reverse (213405242241), we get a palindrome (355647746553).

The spelling of 142242504312 in words is "one hundred forty-two billion, two hundred forty-two million, five hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 113 136 204 226 263 339 408 452 526 678 789 904 1052 1356 1578 1921 2104 2712 3156 3842 4471 5763 6312 7684 8942 11526 11731 13413 15368 17884 23052 23462 26826 29719 35193 35768 46104 46924 53652 59438 70386 89157 93848 107304 118876 140772 178314 199427 237752 281544 356628 398854 505223 598281 713256 797708 1010446 1196562 1325603 1515669 1595416 2020892 2393124 2651206 3031338 3085253 3976809 4041784 4786248 5302412 6062676 6170506 7953618 9255759 10604824 12125352 12341012 15907236 18511518 22535251 24682024 31814472 37023036 45070502 52449301 67605753 74046072 90141004 104898602 135211506 157347903 180282008 209797204 270423012 314695806 348633589 419594408 540846024 629391612 697267178 1045900767 1258783224 1394534356 2091801534 2789068712 4183603068 5926771013 8367206136 11853542026 17780313039 23707084052 35560626078 47414168104 71121252156 142242504312