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330442300024340 = 2257210710313305563
BaseRepresentation
bin100101100100010010001011…
…1111010010110011000010100
31121022222222100001011121002012
41023020210113322112120110
5321302431312301234330
63130443032540003352
7126413445145303400
oct11310442772263024
91538888301147065
10330442300024340
119631a879829279
1231089b21830558
131124c7628b7baa
145b856c7bca100
1528308688e1c95
hex12c8917e96614

330442300024340 has 144 divisors (see below), whose sum is σ = 814849146844992. Its totient is φ = 112224425531904.

The previous prime is 330442300024313. The next prime is 330442300024351. The reversal of 330442300024340 is 43420003244033.

It is a super-2 number, since 2×3304423000243402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330442300024297 and 330442300024306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1081268399 + ... + 1081573961.

It is an arithmetic number, because the mean of its divisors is an integer number (5658674630868).

Almost surely, 2330442300024340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330442300024340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407424573422496).

330442300024340 is an abundant number, since it is smaller than the sum of its proper divisors (484406846820652).

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

330442300024340 is a wasteful number, since it uses less digits than its factorization.

330442300024340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316006 (or 315997 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 330442300024340 its reverse (43420003244033), we get a palindrome (373862303268373).

The spelling of 330442300024340 in words is "three hundred thirty trillion, four hundred forty-two billion, three hundred million, twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 107 140 196 214 245 428 490 535 749 980 1070 1498 2140 2996 3745 5243 7490 10313 10486 14980 20626 20972 26215 41252 51565 52430 72191 103130 104860 144382 206260 288764 305563 360955 505337 611126 721910 1010674 1103491 1222252 1443820 1527815 2021348 2138941 2206982 2526685 3055630 4277882 4413964 5053370 5517455 6111260 7724437 8555764 10106740 10694705 11034910 14972587 15448874 21389410 22069820 29945174 30897748 32695241 38622185 42778820 54071059 59890348 65390482 74862935 77244370 108142118 130780964 149725870 154488740 163476205 216284236 228866687 270355295 299451740 326952410 457733374 540710590 653904820 915466748 1081421180 1144333435 1602066809 2288666870 3151271219 3204133618 4577333740 6302542438 6408267236 8010334045 12605084876 15756356095 16020668090 22058898533 31512712190 32041336180 44117797066 63025424380 88235594132 110294492665 154412289731 220588985330 308824579462 337186020433 441177970660 617649158924 674372040866 772061448655 1348744081732 1544122897310 1685930102165 2360302143031 3088245794620 3371860204330 4720604286062 6743720408660 9441208572124 11801510715155 16522115001217 23603021430310 33044230002434 47206042860620 66088460004868 82610575006085 165221150012170 330442300024340