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40344041412 = 223310719318089
BaseRepresentation
bin100101100100101100…
…010011011111000100
310212010122102122121000
4211210230103133010
51130111033311122
630311144453300
72625522456663
oct454454233704
9125118378530
1040344041412
1116123183494
12799b17a230
133a5c43056c
141d4a166dda
1510b1ce50ac
hex964b137c4

40344041412 has 96 divisors (see below), whose sum is σ = 106126070400. Its totient is φ = 13252571136.

The previous prime is 40344041407. The next prime is 40344041459. The reversal of 40344041412 is 21414044304.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2221264 + ... + 2239352.

It is an arithmetic number, because the mean of its divisors is an integer number (1105479900).

Almost surely, 240344041412 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 40344041412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53063035200).

40344041412 is an abundant number, since it is smaller than the sum of its proper divisors (65782028988).

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

40344041412 is a wasteful number, since it uses less digits than its factorization.

40344041412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18402 (or 18394 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40344041412 its reverse (21414044304), we get a palindrome (61758085716).

The spelling of 40344041412 in words is "forty billion, three hundred forty-four million, forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 193 214 321 386 428 579 642 772 963 1158 1284 1737 1926 2316 2889 3474 3852 5211 5778 6948 10422 11556 18089 20651 20844 36178 41302 54267 61953 72356 82604 108534 123906 162801 185859 217068 247812 325602 371718 488403 557577 651204 743436 976806 1115154 1935523 1953612 2230308 3491177 3871046 5806569 6982354 7742092 10473531 11613138 13964708 17419707 20947062 23226276 31420593 34839414 41894124 52259121 62841186 69678828 94261779 104518242 125682372 188523558 209036484 373555939 377047116 747111878 1120667817 1494223756 2241335634 3362003451 4482671268 6724006902 10086010353 13448013804 20172020706 40344041412