Search a number
-
+
142744122361 = 375218538681
BaseRepresentation
bin1000010011110000110…
…1100111001111111001
3111122110002020201221201
42010330031213033321
54314314443403421
6145324205534201
713212222010021
oct2047415471771
9448402221851
10142744122361
11555a0376965
12237b8874361
13105cb256739
146ca1c68a81
153aa6abeb91
hex213c3673f9

142744122361 has 16 divisors (see below), whose sum is σ = 147072593808. Its totient is φ = 138441139200.

The previous prime is 142744122329. The next prime is 142744122373. The reversal of 142744122361 is 163221447241.

142744122361 = 2671552 + 2671562.

It can be written as a sum of positive squares in 8 ways, for example, as 71723961 + 142672398400 = 8469^2 + 377720^2 .

It is a cyclic number.

It is not a de Polignac number, because 142744122361 - 25 = 142744122329 is a prime.

It is a super-2 number, since 2×1427441223612 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 142744122361.

It is not an unprimeable number, because it can be changed into a prime (142744120361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16438941 + ... + 16447621.

It is an arithmetic number, because the mean of its divisors is an integer number (9192037113).

Almost surely, 2142744122361 is an apocalyptic number.

142744122361 is the 267156-th centered square number.

It is an amenable number.

142744122361 is a deficient number, since it is larger than the sum of its proper divisors (4328471447).

142744122361 is an equidigital number, since it uses as much as digits as its factorization.

142744122361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10092.

The product of its digits is 64512, while the sum is 37.

The spelling of 142744122361 in words is "one hundred forty-two billion, seven hundred forty-four million, one hundred twenty-two thousand, three hundred sixty-one".

Divisors: 1 37 521 853 8681 19277 31561 321197 444413 4522801 7404893 16443281 167343637 273981041 3857949253 142744122361