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340020314323040 = 25513273159857673
BaseRepresentation
bin100110101001111110010011…
…0000011010011100001100000
31122120220121212022212010120102
41031103330212003103201200
5324031343100431314130
63203055102003001532
7131422441235453321
oct11523744603234140
91576817768763512
10340020314323040
119938289514011a
123217626b3692a8
1311795a1651b470
145dd70dcc58448
152949a96bd4645
hex1353f260d3860

340020314323040 has 96 divisors (see below), whose sum is σ = 865406927127456. Its totient is φ = 125499989422080.

The previous prime is 340020314323031. The next prime is 340020314323091. The reversal of 340020314323040 is 40323413020043.

It is a super-2 number, since 2×3400203143230402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340020314322994 and 340020314323012.

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, 24248357 + ... + 35609316.

It is an arithmetic number, because the mean of its divisors is an integer number (9014655490911).

Almost surely, 2340020314323040 is an apocalyptic number.

It is an amenable number.

340020314323040 is an abundant number, since it is smaller than the sum of its proper divisors (525386612804416).

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

340020314323040 is a wasteful number, since it uses less digits than its factorization.

340020314323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59860432 (or 59860424 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 340020314323040 its reverse (40323413020043), we get a palindrome (380343727343083).

The spelling of 340020314323040 in words is "three hundred forty trillion, twenty billion, three hundred fourteen million, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2731 5462 10924 13655 21848 27310 35503 43696 54620 71006 87392 109240 142012 177515 218480 284024 355030 436960 568048 710060 1136096 1420120 2840240 5680480 59857673 119715346 239430692 299288365 478861384 598576730 778149749 957722768 1197153460 1556299498 1915445536 2394306920 3112598996 3890748745 4788613840 6225197992 7781497490 9577227680 12450395984 15562994980 24900791968 31125989960 62251979920 124503959840 163471304963 326942609926 653885219852 817356524815 1307770439704 1634713049630 2125126964519 2615540879408 3269426099260 4250253929038 5231081758816 6538852198520 8500507858076 10625634822595 13077704397040 17001015716152 21251269645190 26155408794080 34002031432304 42502539290380 68004062864608 85005078580760 170010157161520 340020314323040