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30323320132320 = 25325143914633677
BaseRepresentation
bin1101110010100001100101…
…01110011001001011100000
310222100212210022120020210200
412321100302232121023200
512433304124423213240
6144254201351425200
76246534066230535
oct671206256311340
9128325708506720
1030323320132320
119731058761986
123498a42685200
1313bc627756507
1476b929710d8c
15378ba4931930
hex1b9432b992e0

30323320132320 has 144 divisors (see below), whose sum is σ = 103550246916480. Its totient is φ = 8080598817792.

The previous prime is 30323320132309. The next prime is 30323320132351. The reversal of 30323320132320 is 2323102332303.

30323320132320 is a `hidden beast` number, since 3 + 0 + 3 + 2 + 3 + 320 + 13 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5244679 + ... + 9388998.

It is an arithmetic number, because the mean of its divisors is an integer number (719098936920).

Almost surely, 230323320132320 is an apocalyptic number.

30323320132320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30323320132320 is an abundant number, since it is smaller than the sum of its proper divisors (73226926784160).

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

30323320132320 is a wasteful number, since it uses less digits than its factorization.

30323320132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14635137 (or 14635126 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 30323320132320 its reverse (2323102332303), we get a palindrome (32646422464623).

The spelling of 30323320132320 in words is "thirty trillion, three hundred twenty-three billion, three hundred twenty million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1439 1440 2878 4317 5756 7195 8634 11512 12951 14390 17268 21585 23024 25902 28780 34536 43170 46048 51804 57560 64755 69072 86340 103608 115120 129510 138144 172680 207216 230240 259020 345360 414432 518040 690720 1036080 2072160 14633677 29267354 43901031 58534708 73168385 87802062 117069416 131703093 146336770 175604124 219505155 234138832 263406186 292673540 351208248 439010310 468277664 526812372 585347080 658515465 702416496 878020620 1053624744 1170694160 1317030930 1404832992 1756041240 2107249488 2341388320 2634061860 3512082480 4214498976 5268123720 7024164960 10536247440 21057861203 21072494880 42115722406 63173583609 84231444812 105289306015 126347167218 168462889624 189520750827 210578612030 252694334436 315867918045 336925779248 379041501654 421157224060 505388668872 631735836090 673851558496 758083003308 842314448120 947603754135 1010777337744 1263471672180 1516166006616 1684628896240 1895207508270 2021554675488 2526943344360 3032332013232 3369257792480 3790415016540 5053886688720 6064664026464 7580830033080 10107773377440 15161660066160 30323320132320