Search a number
-
+
4020203222244 = 223211195211025561
BaseRepresentation
bin111010100000000110110…
…010001111010011100100
3112020022211212121201200200
4322200012302033103210
51011331334011102434
612314504511110500
7563310245364516
oct72400662172344
915208755551620
104020203222244
11130aa5aa04560
1254b185b12430
13232146618201
14dc816605bb6
156e8949ba199
hex3a806c8f4e4

4020203222244 has 144 divisors (see below), whose sum is σ = 11691899069760. Its totient is φ = 1151908992000.

The previous prime is 4020203222209. The next prime is 4020203222267. The reversal of 4020203222244 is 4422223020204.

4020203222244 is a `hidden beast` number, since 402 + 0 + 2 + 0 + 32 + 2 + 224 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3407224 + ... + 4432784.

It is an arithmetic number, because the mean of its divisors is an integer number (81193743540).

Almost surely, 24020203222244 is an apocalyptic number.

4020203222244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020203222244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845949534880).

4020203222244 is an abundant number, since it is smaller than the sum of its proper divisors (7671695847516).

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

4020203222244 is a wasteful number, since it uses less digits than its factorization.

4020203222244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026122 (or 1026117 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 4020203222244 its reverse (4422223020204), we get a palindrome (8442426242448).

The spelling of 4020203222244 in words is "four trillion, twenty billion, two hundred three million, two hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 521 627 684 836 1042 1254 1563 1881 2084 2508 3126 3762 4689 5731 6252 7524 9378 9899 11462 17193 18756 19798 22924 29697 34386 39596 51579 59394 68772 89091 103158 108889 118788 178182 206316 217778 326667 356364 435556 653334 980001 1025561 1306668 1960002 2051122 3076683 3920004 4102244 6153366 9230049 11281171 12306732 18460098 19485659 22562342 33843513 36920196 38971318 45124684 58456977 67687026 77942636 101530539 116913954 135374052 175370931 203061078 214342249 233827908 350741862 406122156 428684498 534317281 643026747 701483724 857368996 1068634562 1286053494 1602951843 1929080241 2137269124 2572106988 3205903686 3858160482 4808855529 5877490091 6411807372 7716320964 9617711058 10152028339 11754980182 17632470273 19235422116 20304056678 23509960364 30456085017 35264940546 40608113356 52897410819 60912170034 70529881092 91368255051 105794821638 111672311729 121824340068 182736510102 211589643276 223344623458 335016935187 365473020204 446689246916 670033870374 1005050805561 1340067740748 2010101611122 4020203222244