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233143334021340 = 223252380747697423
BaseRepresentation
bin110101000000101011101001…
…100110110010100011011100
31010120111021200210211210201200
4311000223221212302203130
5221024310022002140330
62143504322525435500
7100052023105240221
oct6500535146624334
91116437623753650
10233143334021340
1168317595025856
12221948a6a0bb90
13a0124257547b2
1441802aa209948
151be48d6d51a60
hexd40ae99b28dc

233143334021340 has 144 divisors (see below), whose sum is σ = 737959532663808. Its totient is φ = 59467622873472.

The previous prime is 233143334021327. The next prime is 233143334021359. The reversal of 233143334021340 is 43120433341332.

233143334021340 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 433 + 3 + 4 + 0 + 213 + 4 + 0 = 666.

It is a super-2 number, since 2×2331433340213402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 233143334021295 and 233143334021304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333943869 + ... + 334641291.

It is an arithmetic number, because the mean of its divisors is an integer number (5124718976832).

Almost surely, 2233143334021340 is an apocalyptic number.

233143334021340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233143334021340 is an abundant number, since it is smaller than the sum of its proper divisors (504816198642468).

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

233143334021340 is a wasteful number, since it uses less digits than its factorization.

233143334021340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778208 (or 778203 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 233143334021340 its reverse (43120433341332), we get a palindrome (276263767362672).

The spelling of 233143334021340 in words is "two hundred thirty-three trillion, one hundred forty-three billion, three hundred thirty-four million, twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 80747 161494 242241 322988 403735 484482 697423 726723 807470 968964 1211205 1394846 1453446 1614940 1857181 2092269 2422410 2789692 2906892 3487115 3633615 3714362 4184538 4844820 5571543 6276807 6974230 7267230 7428724 8369076 9285905 10461345 11143086 12553614 13948460 14534460 16040729 16714629 18571810 20922690 22286172 25107228 27857715 31384035 32081458 33429258 37143620 41845380 48122187 55715430 62768070 64162916 66858516 80203645 83573145 96244374 111430860 125536140 144366561 160407290 167146290 192488748 240610935 288733122 320814580 334292580 481221870 577466244 721832805 962443740 1443665610 2887331220 56314814981 112629629962 168944444943 225259259924 281574074905 337888889886 506833334829 563148149810 675777779772 844722224715 1013666669658 1126296299620 1295240744563 1689444449430 2027333339316 2534166674145 2590481489126 3378888898860 3885722233689 5068333348290 5180962978252 6476203722815 7771444467378 10136666696580 11657166701067 12952407445630 15542888934756 19428611168445 23314333402134 25904814891260 38857222336890 46628666804268 58285833505335 77714444673780 116571667010670 233143334021340