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41114311040 = 275115840101
BaseRepresentation
bin100110010010100110…
…101001100110000000
310221010022211101212202
4212102212221212000
51133200230423130
630515422212332
72653564610015
oct462246514600
9127108741782
1041114311040
1116488a58460
127b751240a8
133b52ba40ca
141dc059370c
151109748145
hex9929a9980

41114311040 has 64 divisors (see below), whose sum is σ = 107224272720. Its totient is φ = 14950656000.

The previous prime is 41114311003. The next prime is 41114311057. The reversal of 41114311040 is 4011341114.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×411143110403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2913011 + ... + 2927090.

Almost surely, 241114311040 is an apocalyptic number.

41114311040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41114311040 is an abundant number, since it is smaller than the sum of its proper divisors (66109961680).

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

41114311040 is a wasteful number, since it uses less digits than its factorization.

41114311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5840131 (or 5840119 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 41114311040 its reverse (4011341114), we get a palindrome (45125652154).

The spelling of 41114311040 in words is "forty-one billion, one hundred fourteen million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 5840101 11680202 23360404 29200505 46720808 58401010 64241111 93441616 116802020 128482222 186883232 233604040 256964444 321205555 373766464 467208080 513928888 642411110 747532928 934416160 1027857776 1284822220 1868832320 2055715552 2569644440 3737664640 4111431104 5139288880 8222862208 10278577760 20557155520 41114311040