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4141046919144 = 233977872260229
BaseRepresentation
bin111100010000101001101…
…000010110111111101000
3112122212202200100120202110
4330100221220112333220
51020321331002403034
612450212023002320
7605116001016612
oct74205150267750
915585680316673
104141046919144
111357232035643
1256a6902993a0
132406645448c5
141045dba0ddb2
1572ab8a79de9
hex3c429a16fe8

4141046919144 has 64 divisors (see below), whose sum is σ = 10472640091200. Its totient is φ = 1364382111744.

The previous prime is 4141046919137. The next prime is 4141046919157. The reversal of 4141046919144 is 4419196401414.

4141046919144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4141046919093 and 4141046919102.

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, 702022 + ... + 2962250.

It is an arithmetic number, because the mean of its divisors is an integer number (163635001425).

Almost surely, 24141046919144 is an apocalyptic number.

It is an amenable number.

4141046919144 is an abundant number, since it is smaller than the sum of its proper divisors (6331593172056).

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

4141046919144 is a wasteful number, since it uses less digits than its factorization.

4141046919144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261122 (or 2261118 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 4141046919144 in words is "four trillion, one hundred forty-one billion, forty-six million, nine hundred nineteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 97 194 291 388 582 776 787 1164 1574 2328 2361 3148 4722 6296 9444 18888 76339 152678 229017 305356 458034 610712 916068 1832136 2260229 4520458 6780687 9040916 13561374 18081832 27122748 54245496 219242213 438484426 657726639 876968852 1315453278 1753937704 1778800223 2630906556 3557600446 5261813112 5336400669 7115200892 10672801338 14230401784 21345602676 42691205352 172543621631 345087243262 517630864893 690174486524 1035261729786 1380348973048 2070523459572 4141046919144