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142433054244 = 2232138914292393
BaseRepresentation
bin1000010010100110101…
…0111110111000100100
3111121122101220211201100
42010221222332320210
54313200330213434
6145233254400100
713201423661625
oct2045152767044
9447571824640
10142433054244
1155450822878
1223730660030
131057b981b70
146c72813a4c
153a89626699
hex2129abee24

142433054244 has 144 divisors (see below), whose sum is σ = 392529337200. Its totient is φ = 43284713472.

The previous prime is 142433054233. The next prime is 142433054251. The reversal of 142433054244 is 442450334241.

142433054244 is a `hidden beast` number, since 1 + 4 + 2 + 43 + 30 + 542 + 44 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 93287484900 + 49145569344 = 305430^2 + 221688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142433054199 and 142433054208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59519512 + ... + 59521904.

It is an arithmetic number, because the mean of its divisors is an integer number (2725898175).

Almost surely, 2142433054244 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 142433054244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196264668600).

142433054244 is an abundant number, since it is smaller than the sum of its proper divisors (250096282956).

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

142433054244 is a wasteful number, since it uses less digits than its factorization.

142433054244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 142433054244 its reverse (442450334241), we get a palindrome (584883388485).

The spelling of 142433054244 in words is "one hundred forty-two billion, four hundred thirty-three million, fifty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 89 117 156 178 234 267 356 468 534 801 1068 1157 1429 1602 2314 2393 2858 3204 3471 4287 4628 4786 5716 6942 7179 8574 9572 10413 12861 13884 14358 17148 18577 20826 21537 25722 28716 31109 37154 41652 43074 51444 55731 62218 74308 86148 93327 111462 124436 127181 167193 186654 212977 222924 254362 279981 334386 373308 381543 425954 508724 559962 638931 668772 763086 851908 1119924 1144629 1277862 1526172 1653353 1916793 2289258 2555724 2768701 3306706 3419597 3833586 4578516 4960059 5537402 6613412 6839194 7667172 8306103 9920118 10258791 11074804 13678388 14880177 16612206 19840236 20517582 24918309 29760354 30776373 33224412 41035164 44454761 49836618 59520708 61552746 88909522 99673236 123105492 133364283 177819044 266728566 304344133 400092849 533457132 608688266 800185698 913032399 1217376532 1600371396 1826064798 2739097197 3652129596 3956473729 5478194394 7912947458 10956388788 11869421187 15825894916 23738842374 35608263561 47477684748 71216527122 142433054244