Search a number
-
+
153314213540 = 22546489164893
BaseRepresentation
bin1000111011001000111…
…1010011111010100100
3112122201201202000011012
42032302033103322210
510002441414313130
6154233115401352
714035161212255
oct2166217237244
9478651660135
10153314213540
115a024970904
1225868753258
13115c409a167
1475c59cab2c
153ec4a3d995
hex23b23d3ea4

153314213540 has 24 divisors (see below), whose sum is σ = 321968726520. Its totient is φ = 61323994368.

The previous prime is 153314213539. The next prime is 153314213597. The reversal of 153314213540 is 45312413351.

153314213540 is digitally balanced in base 3, 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 4 ways, for example, as 6145305664 + 147168907876 = 78392^2 + 383626^2 .

It is a junction number, because it is equal to n+sod(n) for n = 153314213497 and 153314213506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 847334 + ... + 1012226.

It is an arithmetic number, because the mean of its divisors is an integer number (13415363605).

Almost surely, 2153314213540 is an apocalyptic number.

153314213540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153314213540 is an abundant number, since it is smaller than the sum of its proper divisors (168654512980).

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

153314213540 is a wasteful number, since it uses less digits than its factorization.

153314213540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211391 (or 211389 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 153314213540 its reverse (45312413351), we get a palindrome (198626626891).

The spelling of 153314213540 in words is "one hundred fifty-three billion, three hundred fourteen million, two hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 46489 92978 164893 185956 232445 329786 464890 659572 824465 929780 1648930 3297860 7665710677 15331421354 30662842708 38328553385 76657106770 153314213540