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40405422204 = 223271134433203
BaseRepresentation
bin100101101000010110…
…011101000001111100
310212021220221010012200
4211220112131001330
51130222242002304
630321220231500
72630166264510
oct455026350174
9125256833180
1040405422204
1116154897814
1279b783b590
133a6c071b64
141d54384140
1510b73bbe39
hex96859d07c

40405422204 has 144 divisors (see below), whose sum is σ = 118062427392. Its totient is φ = 11412850176.

The previous prime is 40405422199. The next prime is 40405422241. The reversal of 40405422204 is 40222450404.

40405422204 is a `hidden beast` number, since 404 + 0 + 54 + 2 + 2 + 204 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 12613267 + ... + 12616469.

It is an arithmetic number, because the mean of its divisors is an integer number (819877968).

Almost surely, 240405422204 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 40405422204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59031213696).

40405422204 is an abundant number, since it is smaller than the sum of its proper divisors (77657005188).

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

40405422204 is a wasteful number, since it uses less digits than its factorization.

40405422204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 40405422204 its reverse (40222450404), we get a palindrome (80627872608).

It can be divided in two parts, 4040542 and 2204, that added together give a triangular number (4042746 = T2843).

The spelling of 40405422204 in words is "forty billion, four hundred five million, four hundred twenty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 443 452 678 791 886 1017 1329 1356 1582 1772 2034 2373 2658 3101 3164 3203 3987 4068 4746 5316 6202 6406 7119 7974 9303 9492 9609 12404 12812 14238 15948 18606 19218 22421 27909 28476 28827 37212 38436 44842 50059 55818 57654 67263 89684 100118 111636 115308 134526 150177 200236 201789 269052 300354 350413 361939 403578 450531 600708 700826 723878 807156 901062 1051239 1085817 1401652 1418929 1447756 1802124 2102478 2171634 2533573 2837858 3153717 3257451 4204956 4256787 4343268 5067146 5675716 6307434 6514902 7600719 8513574 9932503 10134292 12614868 12770361 13029804 15201438 17027148 19865006 22802157 25540722 29797509 30402876 39730012 45604314 51081444 59595018 89392527 91208628 119190036 160338977 178785054 320677954 357570108 481016931 641355908 962033862 1122372839 1443050793 1924067724 2244745678 2886101586 3367118517 4489491356 5772203172 6734237034 10101355551 13468474068 20202711102 40405422204