Search a number
-
+
240305002543232 = 27111714967379063
BaseRepresentation
bin110110101000111001011110…
…010100000111100010000000
31011111211221012210122121211222
4312220321132110013202000
5222444124121122340412
62211030332200454212
7101421314660253104
oct6650713624074200
91144757183577758
10240305002543232
116a628863219470
1222b5087717a368
13a411883bc45a3
14434ab777a5904
151cbad40725072
hexda8e5e507880

240305002543232 has 128 divisors (see below), whose sum is σ = 556685826768000. Its totient is φ = 102114316042240.

The previous prime is 240305002543213. The next prime is 240305002543241. The reversal of 240305002543232 is 232345200503042.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 240305002543192 and 240305002543201.

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, 30123068 + ... + 37255995.

It is an arithmetic number, because the mean of its divisors is an integer number (4349108021625).

Almost surely, 2240305002543232 is an apocalyptic number.

240305002543232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

240305002543232 is an abundant number, since it is smaller than the sum of its proper divisors (316380824224768).

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

240305002543232 is a wasteful number, since it uses less digits than its factorization.

240305002543232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67379254 (or 67379242 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

The spelling of 240305002543232 in words is "two hundred forty trillion, three hundred five billion, two million, five hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 149 176 187 272 298 352 374 544 596 704 748 1088 1192 1408 1496 1639 2176 2384 2533 2992 3278 4768 5066 5984 6556 9536 10132 11968 13112 19072 20264 23936 26224 27863 40528 52448 55726 81056 104896 111452 162112 209792 222904 324224 445808 891616 1783232 3566464 67379063 134758126 269516252 539032504 741169693 1078065008 1145444071 1482339386 2156130016 2290888142 2964678772 4312260032 4581776284 5929357544 8624520064 9163552568 10039480387 11858715088 12599884781 18327105136 20078960774 23717430176 25199769562 36654210272 40157921548 47434860352 50399539124 73308420544 80315843096 94869720704 100799078248 110434284257 146616841088 160631686192 170671166579 201598156496 220868568514 321263372384 341342333158 403196312992 441737137028 642526744768 682684666316 806392625984 883474274056 1285053489536 1365369332632 1612785251968 1766948548112 1877382832369 2730738665264 3533897096224 3754765664738 5461477330528 7067794192448 7509531329476 10922954661056 14135588384896 15019062658952 21845909322112 30038125317904 60076250635808 120152501271616 240305002543232