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412134334240 = 2556746378291
BaseRepresentation
bin1011111111101010001…
…11101101111100100000
31110101210100110102021111
411333311013231330200
523223022342143430
6513155405033104
741530034016526
oct5776507557440
91411710412244
10412134334240
111498700a6302
1267a5ab55794
132cb30578385
1415d3998c316
15aac1d51c2a
hex5ff51edf20

412134334240 has 96 divisors (see below), whose sum is σ = 988532040384. Its totient is φ = 162338626560.

The previous prime is 412134334223. The next prime is 412134334247. The reversal of 412134334240 is 42433431214.

It is not an unprimeable number, because it can be changed into a prime (412134334247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49704495 + ... + 49712785.

It is an arithmetic number, because the mean of its divisors is an integer number (10297208754).

Almost surely, 2412134334240 is an apocalyptic number.

412134334240 is a gapful number since it is divisible by the number (40) 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 412134334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494266020192).

412134334240 is an abundant number, since it is smaller than the sum of its proper divisors (576397706144).

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

412134334240 is a wasteful number, since it uses less digits than its factorization.

412134334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13010 (or 13002 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 412134334240 its reverse (42433431214), we get a palindrome (454567765454).

The spelling of 412134334240 in words is "four hundred twelve billion, one hundred thirty-four million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1340 2144 2680 4637 5360 8291 9274 10720 16582 18548 23185 33164 37096 41455 46370 66328 74192 82910 92740 132656 148384 165820 185480 265312 310679 331640 370960 555497 621358 663280 741920 1110994 1242716 1326560 1553395 2221988 2485432 2777485 3106790 4443976 4970864 5554970 6213580 8887952 9941728 11109940 12427160 17775904 22219880 24854320 38445367 44439760 49708640 76890734 88879520 153781468 192226835 307562936 384453670 615125872 768907340 1230251744 1537814680 2575839589 3075629360 5151679178 6151258720 10303358356 12879197945 20606716712 25758395890 41213433424 51516791780 82426866848 103033583560 206067167120 412134334240