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40404040180 = 22572833173217
BaseRepresentation
bin100101101000010001…
…001011100111110100
310212021211022220102121
4211220101023213310
51130221413241210
630321130445324
72630151450340
oct455021134764
9125254286377
1040404040180
1116154033449
1279b7293844
133a6b9a9aaa
141d54104620
1510b71e76da
hex96844b9f4

40404040180 has 96 divisors (see below), whose sum is σ = 97649669376. Its totient is φ = 13756041216.

The previous prime is 40404040153. The next prime is 40404040181. The reversal of 40404040180 is 8104040404.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40404040181) by changing a digit.

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, 12557932 + ... + 12561148.

It is an arithmetic number, because the mean of its divisors is an integer number (1017184056).

Almost surely, 240404040180 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 40404040180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48824834688).

40404040180 is an abundant number, since it is smaller than the sum of its proper divisors (57245629196).

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

40404040180 is a wasteful number, since it uses less digits than its factorization.

40404040180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 40404040180 its reverse (8104040404), we get a palindrome (48508080584).

The spelling of 40404040180 in words is "forty billion, four hundred four million, forty thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 283 317 566 634 1132 1268 1415 1585 1981 2219 2830 3170 3217 3962 4438 5660 6340 6434 7924 8876 9905 11095 12868 16085 19810 22190 22519 32170 39620 44380 45038 64340 89711 90076 112595 179422 225190 358844 448555 450380 627977 897110 910411 1019789 1255954 1794220 1820822 2039578 2511908 3139885 3641644 4079156 4552055 5098945 6279770 6372877 7138523 9104110 10197890 12559540 12745754 14277046 18208220 20395780 25491508 28554092 31864385 35692615 63728770 71385230 127457540 142770460 288600287 577200574 1154401148 1443001435 2020202009 2886002870 4040404018 5772005740 8080808036 10101010045 20202020090 40404040180