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3305030121440 = 255194987218003
BaseRepresentation
bin110000000110000011001…
…001010111011111100000
3102200221212020020221121022
4300012003021113133200
5413122200202341230
611010150533345012
7460531504336505
oct60060311273740
912627766227538
103305030121440
111064723383733
12454653a98168
131ac880805718
14b5d700db4ac
155ae888091e5
hex301832577e0

3305030121440 has 96 divisors (see below), whose sum is σ = 8220773877120. Its totient is φ = 1252175583744.

The previous prime is 3305030121427. The next prime is 3305030121479. The reversal of 3305030121440 is 441210305033.

It is a super-2 number, since 2×33050301214402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15051479 + ... + 15269481.

It is an arithmetic number, because the mean of its divisors is an integer number (85633061220).

Almost surely, 23305030121440 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 3305030121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110386938560).

3305030121440 is an abundant number, since it is smaller than the sum of its proper divisors (4915743755680).

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

3305030121440 is a wasteful number, since it uses less digits than its factorization.

3305030121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223024 (or 223016 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 3305030121440 its reverse (441210305033), we get a palindrome (3746240426473).

The spelling of 3305030121440 in words is "three trillion, three hundred five billion, thirty million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 4987 9974 19948 24935 39896 49870 79792 94753 99740 159584 189506 199480 218003 379012 398960 436006 473765 758024 797920 872012 947530 1090015 1516048 1744024 1895060 2180030 3032096 3488048 3790120 4142057 4360060 6976096 7580240 8284114 8720120 15160480 16568228 17440240 20710285 33136456 34880480 41420570 66272912 82841140 132545824 165682280 331364560 662729120 1087180961 2174361922 4348723844 5435904805 8697447688 10871809610 17394895376 20656438259 21743619220 34789790752 41312876518 43487238440 82625753036 86974476880 103282191295 165251506072 173948953760 206564382590 330503012144 413128765180 661006024288 826257530360 1652515060720 3305030121440