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40400042200 = 23527139920627
BaseRepresentation
bin100101101000000001…
…111011100011011000
310212021112210210020021
4211220001323203120
51130214402322300
630320505040224
72630102456410
oct455001734330
9125245723207
1040400042200
1116151852731
1279b5a86074
133a6ac0a11b
141d53783640
1510b6ba7d1a
hex96807b8d8

40400042200 has 96 divisors (see below), whose sum is σ = 107430624000. Its totient is φ = 13840871040.

The previous prime is 40400042167. The next prime is 40400042219. The reversal of 40400042200 is 224000404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1948287 + ... + 1968913.

It is an arithmetic number, because the mean of its divisors is an integer number (1119069000).

Almost surely, 240400042200 is an apocalyptic number.

40400042200 is a gapful number since it is divisible by the number (40) 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 40400042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53715312000).

40400042200 is an abundant number, since it is smaller than the sum of its proper divisors (67030581800).

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

40400042200 is a wasteful number, since it uses less digits than its factorization.

40400042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22049 (or 22040 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 40400042200 its reverse (224000404), we get a palindrome (40624042604).

The spelling of 40400042200 in words is "forty billion, four hundred million, forty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1399 1400 2798 5596 6995 9793 11192 13990 19586 20627 27980 34975 39172 41254 48965 55960 69950 78344 82508 97930 103135 139900 144389 165016 195860 206270 244825 279800 288778 391720 412540 489650 515675 577556 721945 825080 979300 1031350 1155112 1443890 1958600 2062700 2887780 3609725 4125400 5775560 7219450 14438900 28857173 28877800 57714346 115428692 144285865 202000211 230857384 288571730 404000422 577143460 721429325 808000844 1010001055 1154286920 1442858650 1616001688 2020002110 2885717300 4040004220 5050005275 5771434600 8080008440 10100010550 20200021100 40400042200