Search a number
-
+
142314133024 = 257857741343
BaseRepresentation
bin1000010010001010010…
…1010101011000100000
3111121100010011000110201
42010202211111120200
54312424404224044
6145213405434544
713165451112550
oct2044245253040
9447303130421
10142314133024
115539a688578
12236b886ba54
1310560144c8b
146c60ad9160
153a7de857d4
hex2122955620

142314133024 has 48 divisors (see below), whose sum is σ = 320580868608. Its totient is φ = 60920520192.

The previous prime is 142314133021. The next prime is 142314133037. The reversal of 142314133024 is 420331413241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 142314132983 and 142314133001.

It is not an unprimeable number, because it can be changed into a prime (142314133021) 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 7 ways as a sum of consecutive naturals, for example, 178704 + ... + 562639.

It is an arithmetic number, because the mean of its divisors is an integer number (6678768096).

Almost surely, 2142314133024 is an apocalyptic number.

142314133024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142314133024 is an abundant number, since it is smaller than the sum of its proper divisors (178266735584).

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

142314133024 is an equidigital number, since it uses as much as digits as its factorization.

142314133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742217 (or 742209 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 142314133024 its reverse (420331413241), we get a palindrome (562645546265).

The spelling of 142314133024 in words is "one hundred forty-two billion, three hundred fourteen million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 857 1714 3428 5999 6856 11998 13712 23996 27424 47992 95984 191968 741343 1482686 2965372 5189401 5930744 10378802 11861488 20757604 23722976 41515208 83030416 166060832 635330951 1270661902 2541323804 4447316657 5082647608 8894633314 10165295216 17789266628 20330590432 35578533256 71157066512 142314133024