Search a number
-
+
4324136103280 = 245717957430009
BaseRepresentation
bin111110111011001010100…
…110001010110101110000
3120022101100110221210222101
4332323022212022311300
51031321312320301110
613110251455350144
7624260060266510
oct76731246126560
916271313853871
104324136103280
111417946111564
1259a068522354
132549c2198156
1410d409bc9840
157773259213a
hex3eeca98ad70

4324136103280 has 80 divisors (see below), whose sum is σ = 11490513935040. Its totient is φ = 1482474940416.

The previous prime is 4324136103263. The next prime is 4324136103289. The reversal of 4324136103280 is 823016314234.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4324136103289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9840916 + ... + 10270924.

It is an arithmetic number, because the mean of its divisors is an integer number (143631424188).

Almost surely, 24324136103280 is an apocalyptic number.

4324136103280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4324136103280 is an abundant number, since it is smaller than the sum of its proper divisors (7166377831760).

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

4324136103280 is a wasteful number, since it uses less digits than its factorization.

4324136103280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447986 (or 447980 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 4324136103280 in words is "four trillion, three hundred twenty-four billion, one hundred thirty-six million, one hundred three thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 17957 35914 71828 89785 125699 143656 179570 251398 287312 359140 430009 502796 628495 718280 860018 1005592 1256990 1436560 1720036 2011184 2150045 2513980 3010063 3440072 4300090 5027960 6020126 6880144 8600180 10055920 12040252 15050315 17200360 24080504 30100630 34400720 48161008 60201260 120402520 240805040 7721671613 15443343226 30886686452 38608358065 54051701291 61773372904 77216716130 108103402582 123546745808 154433432260 216206805164 270258506455 308866864520 432413610328 540517012910 617733729040 864827220656 1081034025820 2162068051640 4324136103280