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153224301042 = 23225723592
BaseRepresentation
bin1000111010110011100…
…0010100100111110010
3112122111110112222101200
42032230320110213302
510002300410113132
6154220144312030
714033020032561
oct2165470244762
9478443488350
10153224301042
1159a8913a25a
1225842612616
13115ab578cb7
1475b7aa3bd8
153ebbbccd7c
hex23ace149f2

153224301042 has 54 divisors (see below), whose sum is σ = 334213736493. Its totient is φ = 50734316544.

The previous prime is 153224301029. The next prime is 153224301053. The reversal of 153224301042 is 240103422351.

153224301042 is a `hidden beast` number, since 1 + 532 + 24 + 3 + 0 + 104 + 2 = 666.

153224301042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 95542191801 + 57682109241 = 309099^2 + 240171^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=276789.

It is a junction number, because it is equal to n+sod(n) for n = 153224300997 and 153224301015.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 426808459 + ... + 426808817.

Almost surely, 2153224301042 is an apocalyptic number.

153224301042 is an abundant number, since it is smaller than the sum of its proper divisors (180989435451).

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

153224301042 is an frugal number, since it uses more digits than its factorization.

153224301042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 153224301042 its reverse (240103422351), we get a palindrome (393327723393).

The spelling of 153224301042 in words is "one hundred fifty-three billion, two hundred twenty-four million, three hundred one thousand, forty-two".

Divisors: 1 2 3 6 9 18 257 359 514 718 771 1077 1542 2154 2313 3231 4626 6462 66049 92263 128881 132098 184526 198147 257762 276789 386643 396294 553578 594441 773286 830367 1159929 1188882 1660734 2319858 23711591 33122417 47423182 66244834 71134773 99367251 142269546 198734502 213404319 298101753 426808638 596203506 8512461169 17024922338 25537383507 51074767014 76612150521 153224301042