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4134202020 = 22325131992987
BaseRepresentation
bin1111011001101010…
…1110101010100100
3101200010020020000100
43312122232222210
531431323431040
61522122144100
7204310065054
oct36632565244
911603206010
104134202020
111831716193
12974652030
1350b67b9b0
142b30c9564
15192e33b30
hexf66aeaa4

4134202020 has 144 divisors (see below), whose sum is σ = 14216005440. Its totient is φ = 964078848.

The previous prime is 4134202013. The next prime is 4134202043. The reversal of 4134202020 is 202024314.

4134202020 is a `hidden beast` number, since 41 + 3 + 420 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4134201984 and 4134202002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2034 + ... + 90953.

It is an arithmetic number, because the mean of its divisors is an integer number (98722260).

Almost surely, 24134202020 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 4134202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108002720).

4134202020 is an abundant number, since it is smaller than the sum of its proper divisors (10081803420).

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

4134202020 is a wasteful number, since it uses less digits than its factorization.

4134202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93034 (or 93029 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4134202020 is about 64297.7606141925. The cubic root of 4134202020 is about 1604.9588366885.

Adding to 4134202020 its reverse (202024314), we get a palindrome (4336226334).

The spelling of 4134202020 in words is "four billion, one hundred thirty-four million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4940 7410 8892 11115 14820 22230 44460 92987 185974 278961 371948 464935 557922 836883 929870 1115844 1208831 1394805 1673766 1766753 1859740 2417662 2789610 3347532 3533506 3626493 4184415 4835324 5300259 5579220 6044155 7067012 7252986 8368830 8833765 10600518 10879479 12088310 14505972 15900777 16737660 17667530 18132465 21201036 21758958 22967789 24176620 26501295 31801554 35335060 36264930 43517916 45935578 53002590 54397395 63603108 68903367 72529860 79503885 91871156 106005180 108794790 114838945 137806734 159007770 206710101 217589580 229677890 275613468 318015540 344516835 413420202 459355780 689033670 826840404 1033550505 1378067340 2067101010 4134202020