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1434318155712 = 2634131923113431
BaseRepresentation
bin10100110111110100000…
…001100010111111000000
312002010020002122201220000
4110313310001202333000
5141444440421440322
63014525555520000
7205424512110111
oct24676401427700
95063202581800
101434318155712
1150332222a652
121b1b922b9000
13a53427a72a0
144d5c8346208
152749ae073ac
hex14df4062fc0

1434318155712 has 1120 divisors, whose sum is σ = 5085655787520. Its totient is φ = 395463720960.

The previous prime is 1434318155687. The next prime is 1434318155717. The reversal of 1434318155712 is 2175518134341.

1434318155712 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 3 + 1 + 81 + 557 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434318155717) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 3327884137 + ... + 3327884567.

It is an arithmetic number, because the mean of its divisors is an integer number (4540764096).

Almost surely, 21434318155712 is an apocalyptic number.

1434318155712 is a gapful number since it is divisible by the number (12) 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 1434318155712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542827893760).

1434318155712 is an abundant number, since it is smaller than the sum of its proper divisors (3651337631808).

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

1434318155712 is a wasteful number, since it uses less digits than its factorization.

1434318155712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 604 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 1434318155712 in words is "one trillion, four hundred thirty-four billion, three hundred eighteen million, one hundred fifty-five thousand, seven hundred twelve".