Search a number
-
+
1434510191488 = 27112293319649
BaseRepresentation
bin10100110111111111011…
…110000110101110000000
312002010201111000011110011
4110313333132012232000
5142000334102111423
63015001015514304
7205432333304143
oct24677736065600
95063644004404
101434510191488
11503410672a00
121b2026688994
13a537350351a
144d605a5405a
15274acbdbb0d
hex14dff786b80

1434510191488 has 192 divisors, whose sum is σ = 3259706310000. Its totient is φ = 627598540800.

The previous prime is 1434510191447. The next prime is 1434510191489. The reversal of 1434510191488 is 8841910154341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434510191489) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 148664488 + ... + 148674136.

Almost surely, 21434510191488 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 1434510191488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629853155000).

1434510191488 is an abundant number, since it is smaller than the sum of its proper divisors (1825196118512).

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

1434510191488 is a wasteful number, since it uses less digits than its factorization.

1434510191488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10045 (or 10022 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The spelling of 1434510191488 in words is "one trillion, four hundred thirty-four billion, five hundred ten million, one hundred ninety-one thousand, four hundred eighty-eight".