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40040222420 = 225116719713789
BaseRepresentation
bin100101010010100101…
…010100111011010100
310211100110202001021202
4211102211110323110
51124000244104140
630221052532032
72615143163222
oct452245247324
9124313661252
1040040222420
1115a87730810
127915481018
133a114c6403
141d1ba7bb12
1510952ce915
hex952954ed4

40040222420 has 96 divisors (see below), whose sum is σ = 93576954240. Its totient is φ = 14268925440.

The previous prime is 40040222399. The next prime is 40040222447. The reversal of 40040222420 is 2422204004.

It is a super-2 number, since 2×400402224202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40040222392 and 40040222401.

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 31 ways as a sum of consecutive naturals, for example, 2896886 + ... + 2910674.

It is an arithmetic number, because the mean of its divisors is an integer number (974759940).

Almost surely, 240040222420 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 40040222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46788477120).

40040222420 is an abundant number, since it is smaller than the sum of its proper divisors (53536731820).

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

40040222420 is a wasteful number, since it uses less digits than its factorization.

40040222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14073 (or 14071 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 40040222420 its reverse (2422204004), we get a palindrome (42462426424).

The spelling of 40040222420 in words is "forty billion, forty million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 197 220 268 335 394 670 737 788 985 1340 1474 1970 2167 2948 3685 3940 4334 7370 8668 10835 13199 13789 14740 21670 26398 27578 43340 52796 55156 65995 68945 131990 137890 145189 151679 263980 275780 290378 303358 580756 606716 725945 758395 923863 1451890 1516790 1847726 2716433 2903780 3033580 3695452 4619315 5432866 9238630 10162493 10865732 13582165 18477260 20324986 27164330 29880763 40649972 50812465 54328660 59761526 101624930 119523052 149403815 182001011 203249860 298807630 364002022 597615260 728004044 910005055 1820010110 2002011121 3640020220 4004022242 8008044484 10010055605 20020111210 40040222420