Search a number
-
+
41114236512 = 2531517613727
BaseRepresentation
bin100110010010100110…
…010111011001100000
310221010022200121122110
4212102212113121200
51133200221032022
630515420435320
72653564146516
oct462246273140
9127108617573
1041114236512
1116488a07468
127b750a8b40
133b52b791cb
141dc05744b6
15110973100c
hex992997660

41114236512 has 96 divisors (see below), whose sum is σ = 108811551744. Its totient is φ = 13592448000.

The previous prime is 41114236453. The next prime is 41114236543. The reversal of 41114236512 is 21563241114.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×411142365122 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41114236512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11029593 + ... + 11033319.

It is an arithmetic number, because the mean of its divisors is an integer number (1133453664).

Almost surely, 241114236512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41114236512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54405775872).

41114236512 is an abundant number, since it is smaller than the sum of its proper divisors (67697315232).

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

41114236512 is a wasteful number, since it uses less digits than its factorization.

41114236512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4652 (or 4644 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

Adding to 41114236512 its reverse (21563241114), we get a palindrome (62677477626).

The spelling of 41114236512 in words is "forty-one billion, one hundred fourteen million, two hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 761 906 1208 1522 1812 2283 2416 3044 3624 3727 4566 4832 6088 7248 7454 9132 11181 12176 14496 14908 18264 22362 24352 29816 36528 44724 59632 73056 89448 114911 119264 178896 229822 344733 357792 459644 562777 689466 919288 1125554 1378932 1688331 1838576 2251108 2757864 2836247 3376662 3677152 4502216 5515728 5672494 6753324 8508741 9004432 11031456 11344988 13506648 17017482 18008864 22689976 27013296 34034964 45379952 54026592 68069928 90759904 136139856 272279712 428273297 856546594 1284819891 1713093188 2569639782 3426186376 5139279564 6852372752 10278559128 13704745504 20557118256 41114236512