Search a number
-
+
41114310960 = 24351710077037
BaseRepresentation
bin100110010010100110…
…101001100100110000
310221010022211101202210
4212102212221210300
51133200230422320
630515422212120
72653564606542
oct462246514460
9127108741683
1041114310960
1116488a58398
127b75124040
133b52ba4068
141dc0593692
1511097480e0
hex9929a9930

41114310960 has 80 divisors (see below), whose sum is σ = 134951692896. Its totient is φ = 10318884864.

The previous prime is 41114310949. The next prime is 41114310961. The reversal of 41114310960 is 6901341114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×411143109602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (41114310961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5034439 + ... + 5042598.

Almost surely, 241114310960 is an apocalyptic number.

41114310960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41114310960 is an abundant number, since it is smaller than the sum of its proper divisors (93837381936).

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

41114310960 is a wasteful number, since it uses less digits than its factorization.

41114310960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10077070 (or 10077064 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 41114310960 in words is "forty-one billion, one hundred fourteen million, three hundred ten thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 10077037 20154074 30231111 40308148 50385185 60462222 80616296 100770370 120924444 151155555 161232592 171309629 201540740 241848888 302311110 342619258 403081480 483697776 513928887 604622220 685238516 806162960 856548145 1027857774 1209244440 1370477032 1713096290 2055715548 2418488880 2569644435 2740954064 3426192580 4111431096 5139288870 6852385160 8222862192 10278577740 13704770320 20557155480 41114310960