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233243434004240 = 245111312023277533
BaseRepresentation
bin110101000010001000111000…
…000001111010111100010000
31010120211212001221121210201202
4311002020320001322330100
5221032430023101113430
62144022315423450332
7100062165505120112
oct6502107001727420
91116755057553652
10233243434004240
1168355a91940550
12221b01821569a8
13a01b9b8b9ccca
1441850846553b2
151be72e4c3ad45
hexd4223807af10

233243434004240 has 80 divisors (see below), whose sum is σ = 596106120177216. Its totient is φ = 84168345331200.

The previous prime is 233243434004239. The next prime is 233243434004249. The reversal of 233243434004240 is 42400434342332.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 233243434004194 and 233243434004203.

It is not an unprimeable number, because it can be changed into a prime (233243434004249) by changing a digit.

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, 1011523487 + ... + 1011754046.

Almost surely, 2233243434004240 is an apocalyptic number.

233243434004240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233243434004240 is an abundant number, since it is smaller than the sum of its proper divisors (362862686172976).

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

233243434004240 is a wasteful number, since it uses less digits than its factorization.

233243434004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023277688 (or 2023277682 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 38.

Adding to 233243434004240 its reverse (42400434342332), we get a palindrome (275643868346572).

The spelling of 233243434004240 in words is "two hundred thirty-three trillion, two hundred forty-three billion, four hundred thirty-four million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 131 176 220 262 440 524 655 880 1048 1310 1441 2096 2620 2882 5240 5764 7205 10480 11528 14410 23056 28820 57640 115280 2023277533 4046555066 8093110132 10116387665 16186220264 20232775330 22256052863 32372440528 40465550660 44512105726 80931101320 89024211452 111280264315 161862202640 178048422904 222560528630 265049356823 356096845808 445121057260 530098713646 890242114520 1060197427292 1325246784115 1780484229040 2120394854584 2650493568230 2915542925053 4240789709168 5300987136460 5831085850106 10601974272920 11662171700212 14577714625265 21203948545840 23324343400424 29155429250530 46648686800848 58310858501060 116621717002120 233243434004240