Search a number
-
+
34010121440 = 255212563259
BaseRepresentation
bin11111101011001010…
…010100010011100000
310020210020001011211102
4133223022110103200
51024123042341230
623342442533532
72312542156001
oct375312242340
9106706034742
1034010121440
1113472910689
126711b072a8
13329011b719
141908c751a8
15d40bed045
hex7eb2944e0

34010121440 has 24 divisors (see below), whose sum is σ = 80348912280. Its totient is φ = 13604048512.

The previous prime is 34010121419. The next prime is 34010121503. The reversal of 34010121440 is 4412101043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106281470 + ... + 106281789.

It is an arithmetic number, because the mean of its divisors is an integer number (3347871345).

Almost surely, 234010121440 is an apocalyptic number.

It is an amenable number.

34010121440 is an abundant number, since it is smaller than the sum of its proper divisors (46338790840).

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

34010121440 is a wasteful number, since it uses less digits than its factorization.

34010121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212563274 (or 212563266 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34010121440 its reverse (4412101043), we get a palindrome (38422222483).

The spelling of 34010121440 in words is "thirty-four billion, ten million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 212563259 425126518 850253036 1062816295 1700506072 2125632590 3401012144 4251265180 6802024288 8502530360 17005060720 34010121440