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1047311669430 = 2335132171350133
BaseRepresentation
bin11110011110110001010…
…00111101100010110110
310201010021221200020212000
433033120220331202312
5114124343241410210
62121043415440130
7135444234210225
oct17173050754266
93633257606760
101047311669430
11374187152444
1214ab86686046
13779b80a9500
1438993b00cbc
151c39a0cdac0
hexf3d8a3d8b6

1047311669430 has 192 divisors, whose sum is σ = 3202085805120. Its totient is φ = 242634921984.

The previous prime is 1047311669387. The next prime is 1047311669449. The reversal of 1047311669430 is 349661137401.

1047311669430 is a `hidden beast` number, since 1 + 0 + 47 + 3 + 116 + 69 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100644 + ... + 1450776.

It is an arithmetic number, because the mean of its divisors is an integer number (16677530235).

Almost surely, 21047311669430 is an apocalyptic number.

1047311669430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1047311669430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601042902560).

1047311669430 is an abundant number, since it is smaller than the sum of its proper divisors (2154774135690).

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

1047311669430 is a wasteful number, since it uses less digits than its factorization.

1047311669430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350192 (or 1350173 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 1047311669430 in words is "one trillion, forty-seven billion, three hundred eleven million, six hundred sixty-nine thousand, four hundred thirty".