Search a number
-
+
355203242331344 = 241117148318004697
BaseRepresentation
bin101000011000011100011001…
…1000101010000110011010000
31201120200002122200112011100122
41100300320303011100303100
5333024122220014100334
63255242041122405412
7134550405321245411
oct12060706305206320
91646602580464318
10355203242331344
11a31a6938191850
1233a08927200868
13123276a2b7b774
14639dd00351808
152b0e9b8b2532e
hex1430e33150cd0

355203242331344 has 80 divisors (see below), whose sum is σ = 794987158208256. Its totient is φ = 151948341350400.

The previous prime is 355203242331307. The next prime is 355203242331397. The reversal of 355203242331344 is 443133242302553.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 355203242331295 and 355203242331304.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 40372004 + ... + 48376700.

Almost surely, 2355203242331344 is an apocalyptic number.

355203242331344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

355203242331344 is an abundant number, since it is smaller than the sum of its proper divisors (439783915876912).

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

355203242331344 is a wasteful number, since it uses less digits than its factorization.

355203242331344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8019564 (or 8019558 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 44.

Adding to 355203242331344 its reverse (443133242302553), we get a palindrome (798336484633897).

The spelling of 355203242331344 in words is "three hundred fifty-five trillion, two hundred three billion, two hundred forty-two million, three hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992 14831 29662 59324 118648 163141 237296 252127 326282 504254 652564 1008508 1305128 2017016 2610256 2773397 4034032 5546794 8004697 11093588 16009394 22187176 32018788 44374352 64037576 88051667 128075152 136079849 176103334 272159698 352206668 544319396 704413336 1088638792 1408826672 1496878339 2177277584 2993756678 5987513356 11975026712 23950053424 118717661207 237435322414 474870644828 949741289656 1305894273277 1899482579312 2018200240519 2611788546554 4036400481038 5223577093108 8072800962076 10447154186216 16145601924152 20894308372432 22200202645709 32291203848304 44400405291418 88800810582836 177601621165672 355203242331344