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40134310344 = 233229113170101
BaseRepresentation
bin100101011000001100…
…001111100111001000
310211121000210012122200
4211120030033213020
51124143340412334
630234253320200
72620365003102
oct453014174710
9124530705580
1040134310344
1116025854427
127940a96060
133a27b49c3b
141d2a370572
15109d6b7799
hex95830f9c8

40134310344 has 96 divisors (see below), whose sum is σ = 113441023800. Its totient is φ = 12802406400.

The previous prime is 40134310343. The next prime is 40134310351. The reversal of 40134310344 is 44301343104.

40134310344 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 4 + 310 + 344 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15747740100 + 24386570244 = 125490^2 + 156162^2 .

It is a super-2 number, since 2×401343103442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40134310343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150894 + ... + 320994.

Almost surely, 240134310344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40134310344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56720511900).

40134310344 is an abundant number, since it is smaller than the sum of its proper divisors (73306713456).

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

40134310344 is a wasteful number, since it uses less digits than its factorization.

40134310344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170255 (or 170248 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 40134310344 its reverse (44301343104), we get a palindrome (84435653448).

The spelling of 40134310344 in words is "forty billion, one hundred thirty-four million, three hundred ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 113 116 174 226 232 261 339 348 452 522 678 696 904 1017 1044 1356 2034 2088 2712 3277 4068 6554 8136 9831 13108 19662 26216 29493 39324 58986 78648 117972 170101 235944 340202 510303 680404 1020606 1360808 1530909 2041212 3061818 4082424 4932929 6123636 9865858 12247272 14798787 19221413 19731716 29597574 38442826 39463432 44396361 57664239 59195148 76885652 88792722 115328478 118390296 153771304 172992717 177585444 230656956 345985434 355170888 461313912 557420977 691970868 1114841954 1383941736 1672262931 2229683908 3344525862 4459367816 5016788793 6689051724 10033577586 13378103448 20067155172 40134310344