Search a number
-
+
154301342420 = 2259901779221
BaseRepresentation
bin1000111110110100010…
…0111010001011010100
3112202021112012100102002
42033231010322023110
510012002120424140
6154515101134432
714101505525111
oct2175504721324
9482245170362
10154301342420
115a4910a33a5
1225aa325a418
131172074b9a4
14767ab47908
15403152b415
hex23ed13a2d4

154301342420 has 24 divisors (see below), whose sum is σ = 324065962248. Its totient is φ = 61714224000.

The previous prime is 154301342389. The next prime is 154301342423. The reversal of 154301342420 is 24243103451.

154301342420 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 55445179024 + 98856163396 = 235468^2 + 314414^2 .

It is a super-2 number, since 2×1543013424202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154301342423) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 191591 + ... + 587630.

It is an arithmetic number, because the mean of its divisors is an integer number (13502748427).

Almost surely, 2154301342420 is an apocalyptic number.

154301342420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154301342420 is an abundant number, since it is smaller than the sum of its proper divisors (169764619828).

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

154301342420 is a wasteful number, since it uses less digits than its factorization.

154301342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789131 (or 789129 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 154301342420 its reverse (24243103451), we get a palindrome (178544445871).

The spelling of 154301342420 in words is "one hundred fifty-four billion, three hundred one million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 9901 19802 39604 49505 99010 198020 779221 1558442 3116884 3896105 7792210 15584420 7715067121 15430134242 30860268484 38575335605 77150671210 154301342420