Search a number
-
+
1429088321848 = 231134143269283
BaseRepresentation
bin10100110010111100010…
…011010100000100111000
312001121201121210122112111
4110302330103110010320
5141403233102244343
63012303014222104
7205151066211055
oct24627423240470
95047647718474
101429088321848
11501089113000
121b0b72954934
13a49bb146c35
144d24d93802c
1527291c01c9d
hex14cbc4d4138

1429088321848 has 256 divisors, whose sum is σ = 3111833894400. Its totient is φ = 614523571200.

The previous prime is 1429088321831. The next prime is 1429088321851. The reversal of 1429088321848 is 8481238809241.

It is a junction number, because it is equal to n+sod(n) for n = 1429088321792 and 1429088321801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5049781915 + ... + 5049782197.

It is an arithmetic number, because the mean of its divisors is an integer number (12155601150).

Almost surely, 21429088321848 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 1429088321848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555916947200).

1429088321848 is an abundant number, since it is smaller than the sum of its proper divisors (1682745572552).

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

1429088321848 is a wasteful number, since it uses less digits than its factorization.

1429088321848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 58.

The spelling of 1429088321848 in words is "one trillion, four hundred twenty-nine billion, eighty-eight million, three hundred twenty-one thousand, eight hundred forty-eight".