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330242002234320 = 243511340573673009
BaseRepresentation
bin100101100010110100111010…
…1001110111010101111010000
31121022021211022221112121110210
41023011221311032322233100
5321241141110032444240
63130211025331124120
7126363124450213041
oct11305516516725720
91538254287477423
10330242002234320
1196252934963020
1231057142443640
13112368c1992b07
145b79b2634c8c8
15282a544248780
hex12c5a753babd0

330242002234320 has 160 divisors (see below), whose sum is σ = 1116851504250240. Its totient is φ = 80056294686720.

The previous prime is 330242002234301. The next prime is 330242002234357. The reversal of 330242002234320 is 23432200242033.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88073976 + ... + 91746984.

It is an arithmetic number, because the mean of its divisors is an integer number (6980321901564).

Almost surely, 2330242002234320 is an apocalyptic number.

330242002234320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330242002234320 is an abundant number, since it is smaller than the sum of its proper divisors (786609502015920).

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

330242002234320 is a wasteful number, since it uses less digits than its factorization.

330242002234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707093 (or 3707087 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 330242002234320 its reverse (23432200242033), we get a palindrome (353674202476353).

The spelling of 330242002234320 in words is "three hundred thirty trillion, two hundred forty-two billion, two million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 34057 68114 102171 136228 170285 204342 272456 340570 374627 408684 510855 544912 681140 749254 817368 1021710 1123881 1362280 1498508 1634736 1873135 2043420 2247762 2724560 2997016 3673009 3746270 4086840 4495524 5619405 5994032 7346018 7492540 8173680 8991048 11019027 11238810 14692036 14985080 17982096 18365045 22038054 22477620 29384072 29970160 36730090 40403099 44076108 44955240 55095135 58768144 73460180 80806198 88152216 89910480 110190270 121209297 146920360 161612396 176304432 202015495 220380540 242418594 293840720 323224792 404030990 440761080 484837188 606046485 646449584 808061980 881522160 969674376 1212092970 1616123960 1939348752 2424185940 3232247920 4848371880 9696743760 125091667513 250183335026 375275002539 500366670052 625458337565 750550005078 1000733340104 1250916675130 1376008342643 1501100010156 1876375012695 2001466680208 2501833350260 2752016685286 3002200020312 3752750025390 4128025027929 5003666700520 5504033370572 6004400040624 6880041713215 7505500050780 8256050055858 10007333401040 11008066741144 13760083426430 15011000101560 16512100111716 20640125139645 22016133482288 27520166852860 30022000203120 33024200223432 41280250279290 55040333705720 66048400446864 82560500558580 110080667411440 165121001117160 330242002234320