Search a number
-
+
305145522305 = 51353137364513
BaseRepresentation
bin1000111000011000001…
…01110010100010000001
31002011122010010122101022
410130030011302202001
514444414223203210
6352103143315225
731021535100161
oct4341405624201
91064563118338
10305145522305
11108458768378
124b18074bb15
1322a0cb7c270
1410aaa6845a1
157e0e2ad155
hex470c172881

305145522305 has 32 divisors (see below), whose sum is σ = 402081182496. Its totient is φ = 220922118144.

The previous prime is 305145522301. The next prime is 305145522317. The reversal of 305145522305 is 503225541503.

It can be written as a sum of positive squares in 16 ways, for example, as 37797581056 + 267347941249 = 194416^2 + 517057^2 .

It is not a de Polignac number, because 305145522305 - 22 = 305145522301 is a prime.

It is a super-2 number, since 2×3051455223052 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (305145522301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4697729 + ... + 4762241.

It is an arithmetic number, because the mean of its divisors is an integer number (12565036953).

Almost surely, 2305145522305 is an apocalyptic number.

It is an amenable number.

305145522305 is a deficient number, since it is larger than the sum of its proper divisors (96935660191).

305145522305 is a wasteful number, since it uses less digits than its factorization.

305145522305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65957.

The product of its (nonzero) digits is 90000, while the sum is 35.

The spelling of 305145522305 in words is "three hundred five billion, one hundred forty-five million, five hundred twenty-two thousand, three hundred five".

Divisors: 1 5 13 53 65 265 689 1373 3445 6865 17849 64513 72769 89245 322565 363845 838669 945997 3419189 4193345 4729985 17095945 44449457 88576349 222247285 442881745 1151492537 4694546497 5757462685 23472732485 61029104461 305145522305