Search a number
-
+
114533335620 = 2232511449128831
BaseRepresentation
bin110101010101010111…
…0000000001001000100
3101221122000200021202100
41222222232000021010
53334031013214440
6124341010512100
711163146201244
oct1525256001104
9357560607670
10114533335620
114463409a280
121a244b95630
13aa53775a12
1457872c9b24
152ea50bd230
hex1aaab80244

114533335620 has 144 divisors (see below), whose sum is σ = 379848268800. Its totient is φ = 27703603200.

The previous prime is 114533335571. The next prime is 114533335627. The reversal of 114533335620 is 26533335411.

114533335620 is a `hidden beast` number, since 1 + 14 + 53 + 3 + 33 + 562 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114533335627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824605 + ... + 953435.

It is an arithmetic number, because the mean of its divisors is an integer number (2637835200).

Almost surely, 2114533335620 is an apocalyptic number.

114533335620 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 114533335620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189924134400).

114533335620 is an abundant number, since it is smaller than the sum of its proper divisors (265314933180).

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

114533335620 is a wasteful number, since it uses less digits than its factorization.

114533335620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129306 (or 129301 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 114533335620 in words is "one hundred fourteen billion, five hundred thirty-three million, three hundred thirty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 449 495 660 898 990 1347 1796 1980 2245 2694 4041 4490 4939 5388 6735 8082 8980 9878 13470 14817 16164 19756 20205 24695 26940 29634 40410 44451 49390 59268 74085 80820 88902 98780 128831 148170 177804 222255 257662 296340 386493 444510 515324 644155 772986 889020 1159479 1288310 1417141 1545972 1932465 2318958 2576620 2834282 3864930 4251423 4637916 5668564 5797395 7085705 7729860 8502846 11594790 12754269 14171410 17005692 21257115 23189580 25508538 28342820 42514230 51017076 57845119 63771345 85028460 115690238 127542690 173535357 231380476 255085380 289225595 347070714 520606071 578451190 636296309 694141428 867676785 1041212142 1156902380 1272592618 1735353570 1908888927 2082424284 2545185236 2603030355 3181481545 3470707140 3817777854 5206060710 5726666781 6362963090 7635555708 9544444635 10412121420 11453333562 12725926180 19088889270 22906667124 28633333905 38177778540 57266667810 114533335620