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4021434131120 = 245740991751923
BaseRepresentation
bin111010100001010000001…
…001110010001010110000
3112020110000122210101020022
4322201100021302022300
51011341344114143440
612315231001503012
7563352613055240
oct72412011621260
915213018711208
104021434131120
11131053180161a
1254b46a1a1a68
132322b1642263
14dc8d1c9db20
156e917aadcb5
hex3a8502722b0

4021434131120 has 80 divisors (see below), whose sum is σ = 10688137939200. Its totient is φ = 1378440260352.

The previous prime is 4021434131089. The next prime is 4021434131123. The reversal of 4021434131120 is 211314341204.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4021434131120.

It is not an unprimeable number, because it can be changed into a prime (4021434131123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1419479 + ... + 3171401.

It is an arithmetic number, because the mean of its divisors is an integer number (133601724240).

Almost surely, 24021434131120 is an apocalyptic number.

4021434131120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4021434131120 is an abundant number, since it is smaller than the sum of its proper divisors (6666703808080).

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

4021434131120 is a wasteful number, since it uses less digits than its factorization.

4021434131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756042 (or 1756036 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 4021434131120 its reverse (211314341204), we get a palindrome (4232748472324).

The spelling of 4021434131120 in words is "four trillion, twenty-one billion, four hundred thirty-four million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4099 8198 16396 20495 28693 32792 40990 57386 65584 81980 114772 143465 163960 229544 286930 327920 459088 573860 1147720 1751923 2295440 3503846 7007692 8759615 12263461 14015384 17519230 24526922 28030768 35038460 49053844 61317305 70076920 98107688 122634610 140153840 196215376 245269220 490538440 981076880 7181132377 14362264754 28724529508 35905661885 50267926639 57449059016 71811323770 100535853278 114898118032 143622647540 201071706556 251339633195 287245295080 402143413112 502679266390 574490590160 804286826224 1005358532780 2010717065560 4021434131120