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34204023141144 = 23315180449117319
BaseRepresentation
bin1111100011011101111101…
…01001100011001100011000
311111002212120011220220001020
413301232332221203030120
513440344314411004034
6200425040013122440
710130105402443653
oct761567651431430
9144085504826036
1034204023141144
11a99793240335a
123a04b76189420
13161156bbbb62c
148636aac2689a
153e4ad2500249
hex1f1bbea63318

34204023141144 has 64 divisors (see below), whose sum is σ = 86078153280000. Its totient is φ = 11325598156800.

The previous prime is 34204023141103. The next prime is 34204023141151. The reversal of 34204023141144 is 44114132040243.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291488517 + ... + 291605835.

It is an arithmetic number, because the mean of its divisors is an integer number (1344971145000).

Almost surely, 234204023141144 is an apocalyptic number.

It is an amenable number.

34204023141144 is an abundant number, since it is smaller than the sum of its proper divisors (51874130138856).

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

34204023141144 is a wasteful number, since it uses less digits than its factorization.

34204023141144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197928 (or 197924 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 34204023141144 its reverse (44114132040243), we get a palindrome (78318155181387).

The spelling of 34204023141144 in words is "thirty-four trillion, two hundred four billion, twenty-three million, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 151 302 453 604 906 1208 1812 3624 80449 117319 160898 234638 241347 321796 351957 469276 482694 643592 703914 938552 965388 1407828 1930776 2815656 12147799 17715169 24295598 35430338 36443397 48591196 53145507 70860676 72886794 97182392 106291014 141721352 145773588 212582028 291547176 425164056 9438196231 18876392462 28314588693 37752784924 56629177386 75505569848 113258354772 226516709544 1425167630881 2850335261762 4275502892643 5700670523524 8551005785286 11401341047048 17102011570572 34204023141144