Search a number
-
+
141413202132132 = 22375261319994393
BaseRepresentation
bin100000001001110101010011…
…101011011111110010100100
3200112200222012012101010200210
4200021311103223133302210
5122013403214221212012
61220432154521135420
741533523656151220
oct4011652353376244
9615628165333623
10141413202132132
1141071002a72837
1213a3a9ab32a570
1360ba29153bb78
1426cc61503b780
1511537366c923c
hex809d53adfca4

141413202132132 has 48 divisors (see below), whose sum is σ = 377173552275072. Its totient is φ = 40396092046080.

The previous prime is 141413202132131. The next prime is 141413202132143. The reversal of 141413202132132 is 231231202314141.

141413202132132 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 141413202132132.

It is not an unprimeable number, because it can be changed into a prime (141413202132131) 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, 159555273 + ... + 160439120.

It is an arithmetic number, because the mean of its divisors is an integer number (7857782339064).

Almost surely, 2141413202132132 is an apocalyptic number.

141413202132132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141413202132132 is an abundant number, since it is smaller than the sum of its proper divisors (235760350142940).

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

141413202132132 is a wasteful number, since it uses less digits than its factorization.

141413202132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319999668 (or 319999666 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 141413202132132 its reverse (231231202314141), we get a palindrome (372644404446273).

The spelling of 141413202132132 in words is "one hundred forty-one trillion, four hundred thirteen billion, two hundred two million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 5261 10522 15783 21044 31566 36827 63132 73654 110481 147308 220962 441924 319994393 639988786 959983179 1279977572 1919966358 2239960751 3839932716 4479921502 6719882253 8959843004 13439764506 26879529012 1683490501573 3366981003146 5050471504719 6733962006292 10100943009438 11784433511011 20201886018876 23568867022022 35353300533033 47137734044044 70706601066066 141413202132132