Search a number
-
+
345054026151 = 32151281903569
BaseRepresentation
bin1010000010101101101…
…00101001100110100111
31012222122102000200202100
411001112310221212213
521123132312314101
6422303213143143
733633521554302
oct5012664514647
91188572020670
10345054026151
11123378002a5a
1256a59a8aab3
13266ccca7893
14129b4a35b39
158e97c1ee86
hex5056d299a7

345054026151 has 24 divisors (see below), whose sum is σ = 503498118240. Its totient is φ = 227699136000.

The previous prime is 345054026143. The next prime is 345054026171. The reversal of 345054026151 is 151620450543.

345054026151 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 540 + 2 + 61 + 51 = 666.

It is not a de Polignac number, because 345054026151 - 23 = 345054026143 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345054026171) 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 23 ways as a sum of consecutive naturals, for example, 69906 + ... + 833663.

It is an arithmetic number, because the mean of its divisors is an integer number (20979088260).

Almost surely, 2345054026151 is an apocalyptic number.

345054026151 is a deficient number, since it is larger than the sum of its proper divisors (158444092089).

345054026151 is a wasteful number, since it uses less digits than its factorization.

345054026151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904007 (or 904004 counting only the distinct ones).

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

Adding to 345054026151 its reverse (151620450543), we get a palindrome (496674476694).

The spelling of 345054026151 in words is "three hundred forty-five billion, fifty-four million, twenty-six thousand, one hundred fifty-one".

Divisors: 1 3 9 151 281 453 843 1359 2529 42431 127293 381879 903569 2710707 8132121 136438919 253902889 409316757 761708667 1227950271 2285126001 38339336239 115018008717 345054026151