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400011141444040 = 23573738611114039
BaseRepresentation
bin101101011110011101101100…
…1111111011111000111001000
31221110022200200012212010010101
41122330323121333133013020
5404412240304202202130
63534430325334455144
7150153564661431430
oct13274733177370710
91843280605763111
10400011141444040
11106501855092495
1238a44a09b044b4
1314227b72869aa9
1470ac8dd2172c0
15313a31b30c1ca
hex16bced9fdf1c8

400011141444040 has 64 divisors (see below), whose sum is σ = 1056400080134400. Its totient is φ = 133440010115328.

The previous prime is 400011141444037. The next prime is 400011141444053. The reversal of 400011141444040 is 40444141110004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19305546660 + ... + 19305567379.

It is an arithmetic number, because the mean of its divisors is an integer number (16506251252100).

Almost surely, 2400011141444040 is an apocalyptic number.

400011141444040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400011141444040 is an abundant number, since it is smaller than the sum of its proper divisors (656388938690360).

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

400011141444040 is a wasteful number, since it uses less digits than its factorization.

400011141444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38611114094 (or 38611114090 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 400011141444040 its reverse (40444141110004), we get a palindrome (440455282554044).

The spelling of 400011141444040 in words is "four hundred trillion, eleven billion, one hundred forty-one million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1295 1480 2072 2590 5180 10360 38611114039 77222228078 154444456156 193055570195 270277798273 308888912312 386111140390 540555596546 772222280780 1081111193092 1351388991365 1428611219443 1544444561560 2162222386184 2702777982730 2857222438886 5405555965460 5714444877772 7143056097215 10000278536101 10811111930920 11428889755544 14286112194430 20000557072202 28572224388860 40001114144404 50001392680505 57144448777720 80002228288808 100002785361010 200005570722020 400011141444040