Search a number
-
+
4004020202280 = 2335729316268569
BaseRepresentation
bin111010010001000010001…
…100111010101100101000
3112011210002001102010200220
4322101002030322230220
51011100213132433110
612303231012530040
7562165232110350
oct72210214725450
915153061363626
104004020202280
11130410602409a
1254800a320920
13230767971657
14dbb1d231b60
156e248dc1370
hex3a44233ab28

4004020202280 has 128 divisors (see below), whose sum is σ = 13774923590400. Its totient is φ = 912080996352.

The previous prime is 4004020202249. The next prime is 4004020202323. The reversal of 4004020202280 is 822020204004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4004020202280.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7888165 + ... + 8380404.

It is an arithmetic number, because the mean of its divisors is an integer number (107616590550).

Almost surely, 24004020202280 is an apocalyptic number.

4004020202280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004020202280 is an abundant number, since it is smaller than the sum of its proper divisors (9770903388120).

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

4004020202280 is a wasteful number, since it uses less digits than its factorization.

4004020202280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16268883 (or 16268879 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4004020202280 its reverse (822020204004), we get a palindrome (4826040406284).

The spelling of 4004020202280 in words is "four trillion, four billion, twenty million, two hundred two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 293 420 586 840 879 1172 1465 1758 2051 2344 2930 3516 4102 4395 5860 6153 7032 8204 8790 10255 11720 12306 16408 17580 20510 24612 30765 35160 41020 49224 61530 82040 123060 246120 16268569 32537138 48805707 65074276 81342845 97611414 113879983 130148552 162685690 195222828 227759966 244028535 325371380 341639949 390445656 455519932 488057070 569399915 650742760 683279898 911039864 976114140 1138799830 1366559796 1708199745 1952228280 2277599660 2733119592 3416399490 4555199320 4766690717 6832798980 9533381434 13665597960 14300072151 19066762868 23833453585 28600144302 33366835019 38133525736 47666907170 57200288604 66733670038 71500360755 95333814340 100100505057 114400577208 133467340076 143000721510 166834175095 190667628680 200201010114 266934680152 286001443020 333668350190 400402020228 500502525285 572002886040 667336700380 800804040456 1001005050570 1334673400760 2002010101140 4004020202280