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4123002040220 = 2257219347638123
BaseRepresentation
bin111011111111110110000…
…100100110111110011100
3112121011012002201202102102
4323333312010212332130
51020022402010241340
612434025254344232
7603606556046300
oct73776604467634
915534162652372
104123002040220
11134a61218aa68
1256709505b078
1323ba49c2cb5b
141037a925dd00
15723ae7a9215
hex3bff6126f9c

4123002040220 has 144 divisors (see below), whose sum is σ = 10632575237760. Its totient is φ = 1335339202176.

The previous prime is 4123002040177. The next prime is 4123002040231. The reversal of 4123002040220 is 220402003214.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4123002040192 and 4123002040201.

It is a congruent number.

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, 6142079 + ... + 6780201.

It is an arithmetic number, because the mean of its divisors is an integer number (73837328040).

Almost surely, 24123002040220 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 4123002040220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316287618880).

4123002040220 is an abundant number, since it is smaller than the sum of its proper divisors (6509573197540).

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

4123002040220 is a wasteful number, since it uses less digits than its factorization.

4123002040220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638512 (or 638503 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 4123002040220 its reverse (220402003214), we get a palindrome (4343404043434).

The spelling of 4123002040220 in words is "four trillion, one hundred twenty-three billion, two million, forty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 347 380 490 532 665 694 931 980 1330 1388 1735 1862 2429 2660 3470 3724 4655 4858 6593 6940 9310 9716 12145 13186 17003 18620 24290 26372 32965 34006 46151 48580 65930 68012 85015 92302 131860 170030 184604 230755 323057 340060 461510 638123 646114 923020 1276246 1292228 1615285 2552492 3190615 3230570 4466861 6381230 6461140 8933722 12124337 12762460 17867444 22334305 24248674 31268027 44668610 48497348 60621685 62536054 84870359 89337220 121243370 125072108 156340135 169740718 221428681 242486740 312680270 339481436 424351795 442857362 594092513 625360540 848703590 885714724 1107143405 1188185026 1550000767 1697407180 2214286810 2376370052 2970462565 3100001534 4207144939 4428573620 5940925130 6200003068 7750003835 8414289878 10850005369 11881850260 15500007670 16828579756 21035724695 21700010738 29450014573 31000015340 42071449390 43400021476 54250026845 58900029146 84142898780 108500053690 117800058292 147250072865 206150102011 217000107380 294500145730 412300204022 589000291460 824600408044 1030750510055 2061501020110 4123002040220