Search a number
-
+
142401311310132 = 223471912347267643
BaseRepresentation
bin100000011000001101100011…
…100100111000000100110100
3200200012102200020010012220000
4200120031203210320010310
5122131100341143411012
61222510132002111300
741665104146452560
oct4030154344700464
9620172606105800
10142401311310132
1141412069927106
1213b7a3b304b530
13615c50317b054
1427243901666a0
15116e2b9088ddc
hex818363938134

142401311310132 has 240 divisors, whose sum is σ = 447875726538240. Its totient is φ = 38541450051648.

The previous prime is 142401311310103. The next prime is 142401311310161. The reversal of 142401311310132 is 231013113104241.

142401311310132 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 0 + 1 + 311 + 310 + 1 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (142401311310103) and next prime (142401311310161).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 142401311310096 and 142401311310105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 531923103 + ... + 532190745.

It is an arithmetic number, because the mean of its divisors is an integer number (1866148860576).

Almost surely, 2142401311310132 is an apocalyptic number.

142401311310132 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 142401311310132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223937863269120).

142401311310132 is an abundant number, since it is smaller than the sum of its proper divisors (305474415228108).

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

142401311310132 is a wasteful number, since it uses less digits than its factorization.

142401311310132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280032 (or 280021 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 142401311310132 its reverse (231013113104241), we get a palindrome (373414424414373).

The spelling of 142401311310132 in words is "one hundred forty-two trillion, four hundred one billion, three hundred eleven million, three hundred ten thousand, one hundred thirty-two".