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1354440014334 = 23211671972771871
BaseRepresentation
bin10011101101011010111…
…010100111100111111110
311210111001020211201111100
4103231122322213213332
5134142343120424314
62514115434033530
7166566200110341
oct23553272474776
94714036751440
101354440014334
11482462094780
1219a5bb2788a6
139a95299a384
14497ab84c458
15253734a9c09
hex13b5aea79fe

1354440014334 has 192 divisors, whose sum is σ = 3279220319232. Its totient is φ = 400591699200.

The previous prime is 1354440014311. The next prime is 1354440014353. The reversal of 1354440014334 is 4334100444531.

1354440014334 is a `hidden beast` number, since 1 + 3 + 544 + 40 + 0 + 1 + 43 + 34 = 666.

It is a super-2 number, since 2×13544400143342 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 723911419 + ... + 723913289.

It is an arithmetic number, because the mean of its divisors is an integer number (17079272496).

Almost surely, 21354440014334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354440014334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639610159616).

1354440014334 is an abundant number, since it is smaller than the sum of its proper divisors (1924780304898).

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

1354440014334 is a wasteful number, since it uses less digits than its factorization.

1354440014334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 1354440014334 its reverse (4334100444531), we get a palindrome (5688540458865).

The spelling of 1354440014334 in words is "one trillion, three hundred fifty-four billion, four hundred forty million, fourteen thousand, three hundred thirty-four".