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4114322143020 = 2232552382153233
BaseRepresentation
bin111011110111110000101…
…101011011011100101100
3112120022210011222021220100
4323313300231123130230
51014402112432034040
612430032110151100
7603151511122455
oct73676055333454
915508704867810
104114322143020
111346968653801
125654721b2490
1323ac958987cb
141031c457212c
157205275cb30
hex3bdf0b5b72c

4114322143020 has 144 divisors (see below), whose sum is σ = 12519438396192. Its totient is φ = 1093700413440.

The previous prime is 4114322142949. The next prime is 4114322143021. The reversal of 4114322143020 is 203412234114.

4114322143020 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 3 + 221 + 430 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4114322143021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77262324 + ... + 77315556.

It is an arithmetic number, because the mean of its divisors is an integer number (86940544418).

Almost surely, 24114322143020 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 4114322143020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259719198096).

4114322143020 is an abundant number, since it is smaller than the sum of its proper divisors (8405116253172).

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

4114322143020 is a wasteful number, since it uses less digits than its factorization.

4114322143020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54592 (or 54587 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4114322143020 its reverse (203412234114), we get a palindrome (4317734377134).

The spelling of 4114322143020 in words is "four trillion, one hundred fourteen billion, three hundred twenty-two million, one hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 523 821 1046 1569 1642 2092 2463 2615 3138 3284 4105 4707 4926 5230 6276 7389 7845 8210 9414 9852 10460 12315 14778 15690 16420 18828 23535 24630 29556 31380 36945 47070 49260 53233 73890 94140 106466 147780 159699 212932 266165 319398 429383 479097 532330 638796 798495 858766 958194 1064660 1288149 1596990 1717532 1916388 2146915 2395485 2576298 3193980 3864447 4293830 4790970 5152596 6440745 7728894 8587660 9581940 12881490 15457788 19322235 25762980 27840859 38644470 43704293 55681718 77288940 83522577 87408586 111363436 131112879 139204295 167045154 174817172 218521465 250567731 262225758 278408590 334090308 393338637 417612885 437042930 501135462 524451516 556817180 655564395 786677274 835225770 874085860 1002270924 1252838655 1311128790 1573354548 1670451540 1966693185 2505677310 2622257580 3933386370 5011354620 7866772740 22857345239 45714690478 68572035717 91429380956 114286726195 137144071434 205716107151 228573452390 274288142868 342860178585 411432214302 457146904780 685720357170 822864428604 1028580535755 1371440714340 2057161071510 4114322143020