Search a number
-
+
253144214423145 = 32534916118701969
BaseRepresentation
bin111001100011101110111010…
…111110100100011001101001
31020012022100110112221100121200
4321203232322332210121221
5231140003322343020040
62254220502513554413
7104215031422464213
oct7143567276443151
91205270415840550
10253144214423145
1173728949649791
1224485065275a09
13ab3352125c636
1446723613615b3
151e3ecde142630
hexe63bbafa4669

253144214423145 has 24 divisors (see below), whose sum is σ = 440040563781000. Its totient is φ = 134623398836736.

The previous prime is 253144214423137. The next prime is 253144214423207. The reversal of 253144214423145 is 541324412441352.

253144214423145 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 4 + 4 + 214 + 423 + 1 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1823212869696 + 251321001553449 = 1350264^2 + 15853107^2 .

It is not a de Polignac number, because 253144214423145 - 23 = 253144214423137 is a prime.

It is a super-2 number, since 2×2531442144231452 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 253144214423145.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8059335280 + ... + 8059366689.

It is an arithmetic number, because the mean of its divisors is an integer number (18335023490875).

Almost surely, 2253144214423145 is an apocalyptic number.

It is an amenable number.

253144214423145 is a deficient number, since it is larger than the sum of its proper divisors (186896349357855).

253144214423145 is a wasteful number, since it uses less digits than its factorization.

253144214423145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16118702329 (or 16118702326 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

Adding to 253144214423145 its reverse (541324412441352), we get a palindrome (794468626864497).

The spelling of 253144214423145 in words is "two hundred fifty-three trillion, one hundred forty-four billion, two hundred fourteen million, four hundred twenty-three thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 349 1047 1745 3141 5235 15705 16118701969 48356105907 80593509845 145068317721 241780529535 725341588605 5625426987181 16876280961543 28127134935905 50628842884629 84381404807715 253144214423145