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400331244012 = 223757327191
BaseRepresentation
bin1011101001101011001…
…10100000000111101100
31102021022202212022100120
411310311212200013230
523024334244302022
6503524251524540
740631403300000
oct5646546400754
91367282768316
10400331244012
11144863606987
1265706159750
132b99c15840b
141553a18a700
15a630a29d5c
hex5d359a01ec

400331244012 has 144 divisors (see below), whose sum is σ = 1104750484992. Its totient is φ = 112809352320.

The previous prime is 400331244011. The next prime is 400331244013. The reversal of 400331244012 is 210442133004.

It is an interprime number because it is at equal distance from previous prime (400331244011) and next prime (400331244013).

It is a super-2 number, since 2×4003312440122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (400331244011) 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 47 ways as a sum of consecutive naturals, for example, 14709337 + ... + 14736527.

It is an arithmetic number, because the mean of its divisors is an integer number (7671878368).

Almost surely, 2400331244012 is an apocalyptic number.

400331244012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400331244012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552375242496).

400331244012 is an abundant number, since it is smaller than the sum of its proper divisors (704419240980).

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

400331244012 is an equidigital number, since it uses as much as digits as its factorization.

400331244012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27306 (or 27276 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 400331244012 its reverse (210442133004), we get a palindrome (610773377016).

The spelling of 400331244012 in words is "four hundred billion, three hundred thirty-one million, two hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 73 84 98 146 147 196 219 292 294 343 438 511 588 686 876 1022 1029 1372 1533 2044 2058 2401 3066 3577 4116 4802 6132 7154 7203 9604 10731 14308 14406 16807 21462 25039 27191 28812 33614 42924 50078 50421 54382 67228 75117 81573 100156 100842 108764 150234 163146 175273 190337 201684 300468 326292 350546 380674 525819 571011 701092 761348 1051638 1142022 1226911 1332359 1984943 2103276 2284044 2453822 2664718 3680733 3969886 3997077 4907644 5329436 5954829 7361466 7939772 7994154 9326513 11909658 13894601 14722932 15988308 18653026 23819316 27789202 27979539 37306052 41683803 55578404 55959078 65285591 83367606 97262207 111918156 130571182 166735212 194524414 195856773 261142364 291786621 389048828 391713546 456999137 583573242 680835449 783427092 913998274 1167146484 1361670898 1370997411 1827996548 2042506347 2723341796 2741994822 4085012694 4765848143 5483989644 8170025388 9531696286 14297544429 19063392572 28595088858 33360937001 57190177716 66721874002 100082811003 133443748004 200165622006 400331244012