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1434402455460 = 22351347971992027
BaseRepresentation
bin10100110111111001000…
…011000111111110100100
312002010102222021121101220
4110313321003013332210
5142000124012033320
63014542210420340
7205426554462012
oct24677103077644
95063388247356
101434402455460
11503365878267
121b1bb65916b0
13a53570b17b0
144d5d560b8b2
15274a3509e40
hex14df90c7fa4

1434402455460 has 384 divisors, whose sum is σ = 4487480524800. Its totient is φ = 340122157056.

The previous prime is 1434402455401. The next prime is 1434402455641. The reversal of 1434402455460 is 645542044341.

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 127 ways as a sum of consecutive naturals, for example, 707646967 + ... + 707648993.

It is an arithmetic number, because the mean of its divisors is an integer number (11686147200).

Almost surely, 21434402455460 is an apocalyptic number.

1434402455460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434402455460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243740262400).

1434402455460 is an abundant number, since it is smaller than the sum of its proper divisors (3053078069340).

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

1434402455460 is a wasteful number, since it uses less digits than its factorization.

1434402455460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 1434402455460 in words is "one trillion, four hundred thirty-four billion, four hundred two million, four hundred fifty-five thousand, four hundred sixty".