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3301414140992 = 261137658119259
BaseRepresentation
bin110000000010101011100…
…111011111110001000000
3102200121112020011002221112
4300002223213133301000
5413042244010002432
611004352042342452
7460343056116452
oct60025347376100
912617466132845
103301414140992
111063138240040
12453a04abaa28
131ac42561b916
14b5b09b8c2d2
155ad2613c7b2
hex300ab9dfc40

3301414140992 has 112 divisors (see below), whose sum is σ = 7341464859840. Its totient is φ = 1459787212800.

The previous prime is 3301414140989. The next prime is 3301414141007. The reversal of 3301414140992 is 2990414141033.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171412259 + ... + 171431517.

Almost surely, 23301414140992 is an apocalyptic number.

3301414140992 is a gapful number since it is divisible by the number (32) 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 3301414140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3670732429920).

3301414140992 is an abundant number, since it is smaller than the sum of its proper divisors (4040050718848).

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

3301414140992 is a wasteful number, since it uses less digits than its factorization.

3301414140992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25900 (or 25890 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

Adding to 3301414140992 its sum of digits (41), we get a palindrome (3301414141033).

The spelling of 3301414140992 in words is "three trillion, three hundred one billion, four hundred fourteen million, one hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 148 176 296 352 407 592 704 814 1184 1628 2368 3256 6512 6581 13024 13162 19259 26048 26324 38518 52648 72391 77036 105296 144782 154072 210592 211849 243497 289564 308144 421184 423698 486994 579128 616288 712583 847396 973988 1158256 1232576 1425166 1694792 1947976 2316512 2678467 2850332 3389584 3895952 4633024 5356934 5700664 6779168 7791904 7838413 10713868 11401328 13558336 15583808 15676826 21427736 22802656 31353652 42855472 45605312 62707304 85710944 125414608 126743479 171421888 250829216 253486958 501658432 506973916 1013947832 1394178269 2027895664 2788356538 4055791328 4689508723 5576713076 8111582656 9379017446 11153426152 18758034892 22306852304 37516069784 44613704608 51584595953 75032139568 89227409216 103169191906 150064279136 206338383812 300128558272 412676767624 825353535248 1650707070496 3301414140992