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4040142444 = 22321319454357
BaseRepresentation
bin1111000011001111…
…1010111001101100
3101102120020111112100
43300303322321230
531233234024234
61504522135100
7202055433642
oct36063727154
911376214470
104040142444
1117936118a8
12949051490
134c5038040
142a4803192
15189a54399
hexf0cfae6c

4040142444 has 72 divisors (see below), whose sum is σ = 11577041840. Its totient is φ = 1177690752.

The previous prime is 4040142433. The next prime is 4040142461. The reversal of 4040142444 is 4442410404.

4040142444 is a `hidden beast` number, since 40 + 40 + 142 + 444 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 218287 + ... + 236070.

Almost surely, 24040142444 is an apocalyptic number.

It is an amenable number.

4040142444 is an abundant number, since it is smaller than the sum of its proper divisors (7536899396).

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

4040142444 is a wasteful number, since it uses less digits than its factorization.

4040142444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454399 (or 454394 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4040142444 is about 63562.1148483906. The cubic root of 4040142444 is about 1592.6935665352.

Adding to 4040142444 its reverse (4442410404), we get a palindrome (8482552848).

The spelling of 4040142444 in words is "four billion, forty million, one hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 8892 454357 908714 1363071 1817428 2726142 4089213 5452284 5906641 8178426 8632783 11813282 16356852 17265566 17719923 23626564 25898349 34531132 35439846 51796698 53159769 70879692 77695047 103593396 106319538 112226179 155390094 212639076 224452358 310780188 336678537 448904716 673357074 1010035611 1346714148 2020071222 4040142444