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4223241241040 = 245151557627659
BaseRepresentation
bin111101011101001100110…
…010110100000111010000
3112221201220221110202111202
4331131030302310013100
51023143144224203130
612552044044330332
7614055566151263
oct75351462640720
915851827422452
104223241241040
111389080643198
125825aab439a8
13248333170733
14108597d88cda
1574cc99e3145
hex3d74ccb41d0

4223241241040 has 80 divisors (see below), whose sum is σ = 9901823564160. Its totient is φ = 1675093670400.

The previous prime is 4223241240979. The next prime is 4223241241097. The reversal of 4223241241040 is 401421423224.

It is a happy number.

4223241241040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4223241240994 and 4223241241012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6414731 + ... + 7042389.

It is an arithmetic number, because the mean of its divisors is an integer number (123772794552).

Almost surely, 24223241241040 is an apocalyptic number.

4223241241040 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 4223241241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950911782080).

4223241241040 is an abundant number, since it is smaller than the sum of its proper divisors (5678582323120).

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

4223241241040 is a wasteful number, since it uses less digits than its factorization.

4223241241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628380 (or 628374 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4223241241040 its reverse (401421423224), we get a palindrome (4624662664264).

The spelling of 4223241241040 in words is "four trillion, two hundred twenty-three billion, two hundred forty-one million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 557 604 755 1114 1208 1510 2228 2416 2785 3020 4456 5570 6040 8912 11140 12080 22280 44560 84107 168214 336428 420535 627659 672856 841070 1255318 1345712 1682140 2510636 3138295 3364280 5021272 6276590 6728560 10042544 12553180 25106360 50212720 94776509 189553018 349606063 379106036 473882545 699212126 758212072 947765090 1398424252 1516424144 1748030315 1895530180 2796848504 3496060630 3791060360 5593697008 6992121260 7582120720 13984242520 27968485040 52790515513 105581031026 211162062052 263952577565 422324124104 527905155130 844648248208 1055810310260 2111620620520 4223241241040