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340032141054 = 23357120895279
BaseRepresentation
bin1001111001010110111…
…11101011011011111110
31012111200102110111111000
410330223133223123332
521032341212003204
6420113020511130
733365212340004
oct4745337533376
91174612414430
10340032141054
111212303083a1
1255a980ab4a6
13260ac755838
1412659ab8a74
158ca1de4039
hex4f2b7eb6fe

340032141054 has 64 divisors (see below), whose sum is σ = 757456128000. Its totient is φ = 113069960640.

The previous prime is 340032141049. The next prime is 340032141089. The reversal of 340032141054 is 450141230043.

It is a happy number.

340032141054 is a `hidden beast` number, since 340 + 0 + 3 + 214 + 105 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64409587 + ... + 64414865.

It is an arithmetic number, because the mean of its divisors is an integer number (11835252000).

Almost surely, 2340032141054 is an apocalyptic number.

340032141054 is an abundant number, since it is smaller than the sum of its proper divisors (417423986946).

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

340032141054 is a wasteful number, since it uses less digits than its factorization.

340032141054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7950 (or 7944 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 340032141054 its reverse (450141230043), we get a palindrome (790173371097).

The spelling of 340032141054 in words is "three hundred forty billion, thirty-two million, one hundred forty-one thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 54 571 1142 1713 2089 3426 4178 5139 5279 6267 10278 10558 12534 15417 15837 18801 30834 31674 37602 47511 56403 95022 112806 142533 285066 1192819 2385638 3014309 3578457 6028618 7156914 9042927 10735371 11027831 18085854 21470742 22055662 27128781 32206113 33083493 54257562 64412226 66166986 81386343 99250479 162772686 198500958 297751437 595502874 6296891501 12593783002 18890674503 37781349006 56672023509 113344047018 170016070527 340032141054