Search a number
-
+
142514401122 = 232172113476361
BaseRepresentation
bin1000010010111010000…
…1010010111101100010
3111121212001222200122200
42010232201102331202
54313332141313442
6145245322114030
713203432264552
oct2045641227542
9447761880580
10142514401122
11554927339a5
122375394b916
1310592794302
146c7d54b162
153a9184434c
hex212e852f62

142514401122 has 96 divisors (see below), whose sum is σ = 329492764224. Its totient is φ = 44363289600.

The previous prime is 142514401103. The next prime is 142514401217. The reversal of 142514401122 is 221104415241.

142514401122 is a `hidden beast` number, since 1 + 4 + 251 + 4 + 401 + 1 + 2 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 22401222 + ... + 22407582.

It is an arithmetic number, because the mean of its divisors is an integer number (3432216294).

Almost surely, 2142514401122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142514401122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164746382112).

142514401122 is an abundant number, since it is smaller than the sum of its proper divisors (186978363102).

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

142514401122 is a wasteful number, since it uses less digits than its factorization.

142514401122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944 (or 6941 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 142514401122 its reverse (221104415241), we get a palindrome (363618816363).

The spelling of 142514401122 in words is "one hundred forty-two billion, five hundred fourteen million, four hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 211 306 347 422 633 694 1041 1266 1899 2082 3123 3587 3798 5899 6246 6361 7174 10761 11798 12722 17697 19083 21522 32283 35394 38166 53091 57249 64566 73217 106182 108137 114498 146434 216274 219651 324411 439302 648822 658953 973233 1244689 1317906 1342171 1946466 2207267 2489378 2684342 3734067 4026513 4414534 6621801 7468134 8053026 11202201 12079539 13243602 19865403 22404402 22816907 24159078 37523539 39730806 45633814 68450721 75047078 112570617 136901442 205352163 225141234 337711851 410704326 465733337 675423702 931466674 1397200011 2794400022 4191600033 7917466729 8383200066 15834933458 23752400187 47504800374 71257200561 142514401122