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1436312276140 = 22571710318132371
BaseRepresentation
bin10100111001101010111…
…000100000110010101100
312002022101001221112212011
4110321222320200302230
5142013031420314030
63015455512451004
7205525104623230
oct24715270406254
95068331845764
101436312276140
11504155920865
121b244a0a9a64
13a559c9733c1
144d7371105c0
1527566007b2a
hex14e6ae20cac

1436312276140 has 192 divisors, whose sum is σ = 3705834682368. Its totient is φ = 456432537600.

The previous prime is 1436312276117. The next prime is 1436312276227. The reversal of 1436312276140 is 416722136341.

It is a super-2 number, since 2×14363122761402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1436312276093 and 1436312276102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44354155 + ... + 44386525.

It is an arithmetic number, because the mean of its divisors is an integer number (19301222304).

Almost surely, 21436312276140 is an apocalyptic number.

1436312276140 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 1436312276140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852917341184).

1436312276140 is an abundant number, since it is smaller than the sum of its proper divisors (2269522406228).

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

1436312276140 is a wasteful number, since it uses less digits than its factorization.

1436312276140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32688 (or 32686 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 1436312276140 in words is "one trillion, four hundred thirty-six billion, three hundred twelve million, two hundred seventy-six thousand, one hundred forty".