Search a number
-
+
153314154540 = 223451373132207
BaseRepresentation
bin1000111011001000111…
…1000101100000101100
3112122201201122000020000
42032302033011200230
510002441410421130
6154233114224300
714035160545251
oct2166217054054
9478651560200
10153314154540
115a024930548
1225868725090
13115c4079351
1475c59b3428
153ec4a2b260
hex23b23c582c

153314154540 has 240 divisors, whose sum is σ = 486230798592. Its totient is φ = 40437356544.

The previous prime is 153314154529. The next prime is 153314154569. The reversal of 153314154540 is 45451413351.

153314154540 is a `hidden beast` number, since 1 + 5 + 3 + 31 + 41 + 545 + 40 = 666.

It is a super-2 number, since 2×1533141545402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 153314154495 and 153314154504.

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 79 ways as a sum of consecutive naturals, for example, 69466117 + ... + 69468323.

Almost surely, 2153314154540 is an apocalyptic number.

153314154540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153314154540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243115399296).

153314154540 is an abundant number, since it is smaller than the sum of its proper divisors (332916644052).

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

153314154540 is a wasteful number, since it uses less digits than its factorization.

153314154540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 153314154540 its reverse (45451413351), we get a palindrome (198765567891).

The spelling of 153314154540 in words is "one hundred fifty-three billion, three hundred fourteen million, one hundred fifty-four thousand, five hundred forty".