Search a number
-
+
3407403700737 = 3214940961710069
BaseRepresentation
bin110001100101011001000…
…101100101001000000001
3110001202002211012121112100
4301211121011211020001
5421311330321410422
611125201210421013
7501114432401331
oct61453105451001
913052084177470
103407403700737
1110a4087616013
12470464731769
131b9416cb004a
14bacc24a10c1
155d97b0eb7ac
hex31959165201

3407403700737 has 48 divisors (see below), whose sum is σ = 4975496370000. Its totient is φ = 2246968829952.

The previous prime is 3407403700699. The next prime is 3407403700819. The reversal of 3407403700737 is 7370073047043.

It can be written as a sum of positive squares in 8 ways, for example, as 542224576881 + 2865179123856 = 736359^2 + 1692684^2 .

It is not a de Polignac number, because 3407403700737 - 223 = 3407395312129 is a prime.

It is a super-2 number, since 2×34074037007372 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3407403700692 and 3407403700701.

It is not an unprimeable number, because it can be changed into a prime (3407403720737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338400339 + ... + 338410407.

It is an arithmetic number, because the mean of its divisors is an integer number (103656174375).

Almost surely, 23407403700737 is an apocalyptic number.

It is an amenable number.

3407403700737 is a deficient number, since it is larger than the sum of its proper divisors (1568092669263).

3407403700737 is a wasteful number, since it uses less digits than its factorization.

3407403700737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11250 (or 11247 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 45.

The spelling of 3407403700737 in words is "three trillion, four hundred seven billion, four hundred three million, seven hundred thousand, seven hundred thirty-seven".

Divisors: 1 3 9 149 409 447 617 1227 1341 1851 3681 5553 10069 30207 60941 90621 91933 182823 252353 275799 548469 757059 827397 1500281 2271177 4118221 4500843 6212573 12354663 13502529 18637719 37063989 37600597 55913157 112801791 338405373 613614929 925673377 1840844787 2540942357 2777020131 5522534361 7622827071 8331060393 22868481213 378600411193 1135801233579 3407403700737