Search a number
-
+
203203300314432 = 26311895331074617
BaseRepresentation
bin101110001100111111110100…
…100010000100110101000000
3222122111001020101022100210210
4232030333310202010311000
5203113240324340030212
62000102150224154120
760541645132610565
oct5614776442046500
9878431211270723
10203203300314432
115982404358a310
121a95a1b2168940
13894ccb1aa0412
14382714105a86c
151875bb686d53c
hexb8cff4884d40

203203300314432 has 112 divisors (see below), whose sum is σ = 586525713481152. Its totient is φ = 61576012615680.

The previous prime is 203203300314379. The next prime is 203203300314433. The reversal of 203203300314432 is 234413003302302.

203203300314432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2032033003144324 (a number of 58 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 203203300314432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203203300314433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188556388 + ... + 189631004.

Almost surely, 2203203300314432 is an apocalyptic number.

203203300314432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

203203300314432 is an abundant number, since it is smaller than the sum of its proper divisors (383322413166720).

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

203203300314432 is a wasteful number, since it uses less digits than its factorization.

203203300314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164176 (or 1164166 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 203203300314432 its reverse (234413003302302), we get a palindrome (437616303616734).

The spelling of 203203300314432 in words is "two hundred three trillion, two hundred three billion, three hundred million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 89533 179066 268599 358132 537198 716264 984863 1074396 1074617 1432528 1969726 2148792 2149234 2865056 2954589 3223851 3939452 4297584 4298468 5730112 5909178 6447702 7878904 8595168 8596936 11818356 11820787 12895404 15757808 17190336 17193872 23636712 23641574 25790808 31515616 34387744 35462361 47273424 47283148 51581616 63031232 68775488 70924722 94546848 94566296 103163232 141849444 189093696 189132592 206326464 283698888 378265184 567397776 756530368 1134795552 2269591104 96213683861 192427367722 288641051583 384854735444 577282103166 769709470888 1058350522471 1154564206332 1539418941776 2116701044942 2309128412664 3078837883552 3175051567413 4233402089884 4618256825328 6157675767104 6350103134826 8466804179768 9236513650656 12700206269652 16933608359536 18473027301312 25400412539304 33867216719072 50800825078608 67734433438144 101601650157216 203203300314432