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330030043301040 = 243510345729213851
BaseRepresentation
bin100101100001010010001101…
…1011111110000010010110000
31121021112120020011102011120120
41023002210123133300102300
5321224203012041113130
63125525413035410240
7126341612064052245
oct11302443337602260
91537476204364516
10330030043301040
1196180a5663a295
12310220498b3980
131121c912b8a374
145b6d779c9d5cc
152824c8ae66910
hex12c291b7f04b0

330030043301040 has 160 divisors (see below), whose sum is σ = 1035286563657216. Its totient is φ = 86962853836800.

The previous prime is 330030043301039. The next prime is 330030043301087. The reversal of 330030043301040 is 40103340030033.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 330030043301040.

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, 3309886 + ... + 25903965.

Almost surely, 2330030043301040 is an apocalyptic number.

330030043301040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330030043301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517643281828608).

330030043301040 is an abundant number, since it is smaller than the sum of its proper divisors (705256520356176).

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

330030043301040 is a wasteful number, since it uses less digits than its factorization.

330030043301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29214427 (or 29214421 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 330030043301040 its reverse (40103340030033), we get a palindrome (370133383331073).

The spelling of 330030043301040 in words is "three hundred thirty trillion, thirty billion, forty-three million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 457 515 618 824 914 1030 1236 1371 1545 1648 1828 2060 2285 2472 2742 3090 3656 4120 4570 4944 5484 6180 6855 7312 8240 9140 10968 12360 13710 18280 21936 24720 27420 36560 47071 54840 94142 109680 141213 188284 235355 282426 376568 470710 564852 706065 753136 941420 1129704 1412130 1882840 2259408 2824260 3765680 5648520 11297040 29213851 58427702 87641553 116855404 146069255 175283106 233710808 292138510 350566212 438207765 467421616 584277020 701132424 876415530 1168554040 1402264848 1752831060 2337108080 3009026653 3505662120 6018053306 7011324240 9027079959 12036106612 13350729907 15045133265 18054159918 24072213224 26701459814 30090266530 36108319836 40052189721 45135399795 48144426448 53402919628 60180533060 66753649535 72216639672 80104379442 90270799590 106805839256 120361066120 133507299070 144433279344 160208758884 180541599180 200260948605 213611678512 240722132240 267014598140 320417517768 361083198360 400521897210 534029196280 640835035536 722166396720 801043794420 1068058392560 1375125180421 1602087588840 2750250360842 3204175177680 4125375541263 5500500721684 6875625902105 8250751082526 11001001443368 13751251804210 16501502165052 20626877706315 22002002886736 27502503608420 33003004330104 41253755412630 55005007216840 66006008660208 82507510825260 110010014433680 165015021650520 330030043301040