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41111404400 = 2452119343501
BaseRepresentation
bin100110010010011011…
…100011111101110000
310221010010100201201102
4212102123203331300
51133144004420100
630515240023532
72653531112603
oct462233437560
9127103321642
1041111404400
1116487352680
127b74161ba8
133b523c70c1
141dc003833a
151109371cd5
hex9926e3f70

41111404400 has 60 divisors (see below), whose sum is σ = 107749265064. Its totient is φ = 14949600000.

The previous prime is 41111404393. The next prime is 41111404409. The reversal of 41111404400 is 440411114.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41111404409) 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 11 ways as a sum of consecutive naturals, for example, 4667351 + ... + 4676150.

Almost surely, 241111404400 is an apocalyptic number.

41111404400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41111404400 is an abundant number, since it is smaller than the sum of its proper divisors (66637860664).

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

41111404400 is a wasteful number, since it uses less digits than its factorization.

41111404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9343530 (or 9343519 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 41111404400 its reverse (440411114), we get a palindrome (41551815514).

The spelling of 41111404400 in words is "forty-one billion, one hundred eleven million, four hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 9343501 18687002 37374004 46717505 74748008 93435010 102778511 149496016 186870020 205557022 233587525 373740040 411114044 467175050 513892555 747480080 822228088 934350100 1027785110 1644456176 1868700200 2055570220 2569462775 3737400400 4111140440 5138925550 8222280880 10277851100 20555702200 41111404400