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31440400404 = 22371921139323
BaseRepresentation
bin11101010001111111…
…100111000000010100
310000011010122211021020
4131101333213000110
51003342220303104
622235444521140
72162056664640
oct352177470024
9100133584236
1031440400404
1112374317196
1261153b01b0
132c7091a72a
141743875c20
15c402ee2d9
hex751fe7014

31440400404 has 96 divisors (see below), whose sum is σ = 88304993280. Its totient is φ = 8505243648.

The previous prime is 31440400399. The next prime is 31440400417. The reversal of 31440400404 is 40400404413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3367687 + ... + 3377009.

It is an arithmetic number, because the mean of its divisors is an integer number (919843680).

Almost surely, 231440400404 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 31440400404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44152496640).

31440400404 is an abundant number, since it is smaller than the sum of its proper divisors (56864592876).

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

31440400404 is a wasteful number, since it uses less digits than its factorization.

31440400404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11469 (or 11467 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 31440400404 its reverse (40400404413), we get a palindrome (71840804817).

The spelling of 31440400404 in words is "thirty-one billion, four hundred forty million, four hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 2113 4226 6339 8452 9323 12678 14791 18646 25356 27969 29582 37292 40147 44373 55938 59164 65261 80294 88746 111876 120441 130522 160588 177137 177492 195783 240882 261044 281029 354274 391566 481764 531411 562058 708548 783132 843087 1062822 1124116 1239959 1686174 2125644 2479918 3372348 3719877 4959836 7439754 14879508 19699499 39398998 59098497 78797996 118196994 137896493 236393988 275792986 374290481 413689479 551585972 748580962 827378958 1122871443 1497161924 1654757916 2245742886 2620033367 4491485772 5240066734 7860100101 10480133468 15720200202 31440400404