Search a number
-
+
332132011320000 = 263542767766761
BaseRepresentation
bin100101110000100101000001…
…0100011011010001011000000
31121112222111202221002002021110
41023201022002203122023000
5322013122324344220000
63134215201205123320
7126646513601321403
oct11341120243321300
91545874687062243
10332132011320000
11969114387a9a21
12313014aa6b9540
1311342bb688b918
145c033bcd01d3a
15285e7b0d25850
hex12e12828da2c0

332132011320000 has 140 divisors (see below), whose sum is σ = 1098105927289976. Its totient is φ = 88568536320000.

The previous prime is 332132011319963. The next prime is 332132011320029. The reversal of 332132011320000 is 23110231233.

It is a super-2 number, since 2×3321320113200002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1383763381 + ... + 1384003380.

Almost surely, 2332132011320000 is an apocalyptic number.

332132011320000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332132011320000 is an abundant number, since it is smaller than the sum of its proper divisors (765973915969976).

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

332132011320000 is an equidigital number, since it uses as much as digits as its factorization.

332132011320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767766796 (or 2767766771 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 332132011320000 its reverse (23110231233), we get a palindrome (332155121551233).

The spelling of 332132011320000 in words is "three hundred thirty-two trillion, one hundred thirty-two billion, eleven million, three hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 2767766761 5535533522 8303300283 11071067044 13838833805 16606600566 22142134088 27677667610 33213201132 41516501415 44284268176 55355335220 66426402264 69194169025 83033002830 88568536352 110710670440 132852804528 138388338050 166066005660 177137072704 207582507075 221421340880 265705609056 276776676100 332132011320 345970845125 415165014150 442842681760 531411218112 553553352200 664264022640 691941690250 830330028300 885685363520 1037912535375 1107106704400 1328528045280 1383883380500 1660660056600 1729854225625 2075825070750 2214213408800 2657056090560 2767766761000 3321320113200 3459708451250 4151650141500 4428426817600 5189562676875 5535533522000 6642640226400 6919416902500 8303300283000 10379125353750 11071067044000 13285280452800 13838833805000 16606600566000 20758250707500 22142134088000 27677667610000 33213201132000 41516501415000 55355335220000 66426402264000 83033002830000 110710670440000 166066005660000 332132011320000