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40622240049120 = 25325307547167987
BaseRepresentation
bin10010011110010000110100…
…01100000010011111100000
312022211110002202100121202200
421033020122030002133200
520311023321423032440
6222221333252013200
711361600656146062
oct1117103214023740
9168743082317680
1040622240049120
1111a41882540754
124680a42001200
131988878a14242
14a061ac349732
154a6a272d3c30
hex24f21a3027e0

40622240049120 has 288 divisors, whose sum is σ = 139330015913088. Its totient is φ = 10777508711424.

The previous prime is 40622240049043. The next prime is 40622240049179. The reversal of 40622240049120 is 2194004222604.

40622240049120 is a `hidden beast` number, since 4 + 0 + 6 + 222 + 400 + 4 + 9 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×406222400491203 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 241733767 + ... + 241901753.

It is an arithmetic number, because the mean of its divisors is an integer number (483784777476).

Almost surely, 240622240049120 is an apocalyptic number.

40622240049120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40622240049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69665007956544).

40622240049120 is an abundant number, since it is smaller than the sum of its proper divisors (98707775863968).

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

40622240049120 is a wasteful number, since it uses less digits than its factorization.

40622240049120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168862 (or 168851 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 40622240049120 in words is "forty trillion, six hundred twenty-two billion, two hundred forty million, forty-nine thousand, one hundred twenty".