Search a number
-
+
114024451100 = 225271931276557
BaseRepresentation
bin110101000110001100…
…0110000110000011100
3101220022120010021102112
41222030120300300130
53332010224413400
6124214311413152
711144426562020
oct1521430606034
9356276107375
10114024451100
11443a291485a
121a1226841b8
13a9a21cca11
1457398a0380
152e7559c835
hex1a8c630c1c

114024451100 has 144 divisors (see below), whose sum is σ = 307267000320. Its totient is φ = 35841657600.

The previous prime is 114024451091. The next prime is 114024451111. The reversal of 114024451100 is 1154420411.

114024451100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 274022 + ... + 550578.

Almost surely, 2114024451100 is an apocalyptic number.

114024451100 is a gapful number since it is divisible by the number (10) 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 114024451100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153633500160).

114024451100 is an abundant number, since it is smaller than the sum of its proper divisors (193242549220).

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

114024451100 is a wasteful number, since it uses less digits than its factorization.

114024451100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276628 (or 276621 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 114024451100 its reverse (1154420411), we get a palindrome (115178871511).

The spelling of 114024451100 in words is "one hundred fourteen billion, twenty-four million, four hundred fifty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 31 35 38 50 62 70 76 95 100 124 133 140 155 175 190 217 266 310 350 380 434 475 532 589 620 665 700 775 868 950 1085 1178 1330 1550 1900 2170 2356 2660 2945 3100 3325 4123 4340 5425 5890 6650 8246 10850 11780 13300 14725 16492 20615 21700 29450 41230 58900 82460 103075 206150 276557 412300 553114 1106228 1382785 1935899 2765570 3871798 5254583 5531140 6913925 7743596 8573267 9679495 10509166 13827850 17146534 19358990 21018332 26272915 27655700 34293068 36782081 38717980 42866335 48397475 52545830 60012869 73564162 85732670 96794950 105091660 120025738 131364575 147128324 162892073 171465340 183910405 193589900 214331675 240051476 262729150 300064345 325784146 367820810 428663350 525458300 600128690 651568292 735641620 814460365 857326700 919552025 1140244511 1200257380 1500321725 1628920730 1839104050 2280489022 3000643450 3257841460 3678208100 4072301825 4560978044 5701222555 6001286900 8144603650 11402445110 16289207300 22804890220 28506112775 57012225550 114024451100