Search a number
-
+
11232144153000 = 233353416005339
BaseRepresentation
bin1010001101110010111111…
…1101100101100110101000
31110202210010102211112011000
42203130233331211212220
52433011412400344000
635515550434235000
72236332001006161
oct243345775454650
943683112745130
1011232144153000
11364058660a011
121314a46425a60
136362570b50b4
142ab8d2762768
15147291ae2000
hexa372ff659a8

11232144153000 has 128 divisors (see below), whose sum is σ = 38938099824000. Its totient is φ = 2995238433600.

The previous prime is 11232144152989. The next prime is 11232144153047. The reversal of 11232144153000 is 35144123211.

11232144153000 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 214 + 415 + 30 + 0 + 0 = 666.

It is a super-2 number, since 2×112321441530002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 207975670 + ... + 208029669.

It is an arithmetic number, because the mean of its divisors is an integer number (304203904875).

Almost surely, 211232144153000 is an apocalyptic number.

11232144153000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11232144153000 is an abundant number, since it is smaller than the sum of its proper divisors (27705955671000).

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

11232144153000 is a wasteful number, since it uses less digits than its factorization.

11232144153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416005369 (or 416005349 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11232144153000 its reverse (35144123211), we get a palindrome (11267288276211).

The spelling of 11232144153000 in words is "eleven trillion, two hundred thirty-two billion, one hundred forty-four million, one hundred fifty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1800 2250 2700 3000 3375 4500 5400 6750 9000 13500 27000 416005339 832010678 1248016017 1664021356 2080026695 2496032034 3328042712 3744048051 4160053390 4992064068 6240080085 7488096102 8320106780 9984128136 10400133475 11232144153 12480160170 14976192204 16640213560 18720240255 20800266950 22464288306 24960320340 29952384408 31200400425 37440480510 41600533900 44928576612 49920640680 52000667375 56160720765 62400800850 74880961020 83201067800 89857153224 93601201275 104001334750 112321441530 124801601700 149761922040 156002002125 187202402550 208002669500 224642883060 249603203400 280803603825 312004004250 374404805100 416005339000 449285766120 468006006375 561607207650 624008008500 748809610200 936012012750 1123214415300 1248016017000 1404018019125 1872024025500 2246428830600 2808036038250 3744048051000 5616072076500 11232144153000