Search a number
-
+
114123234000 = 24353191001081
BaseRepresentation
bin110101001001001000…
…1100101101011010000
3101220120102222222002110
41222102101211223100
53332211021442000
6124232200545320
711150036324556
oct1522221455320
9356512888073
10114123234000
1144443654916
121a14b782240
13a9b9808539
145748a55bd6
152e7e0b1850
hex1a92465ad0

114123234000 has 160 divisors (see below), whose sum is σ = 387298604160. Its totient is φ = 28831104000.

The previous prime is 114123233957. The next prime is 114123234031. The reversal of 114123234000 is 432321411.

It is a super-3 number, since 3×1141232340003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 386541 + ... + 614540.

It is an arithmetic number, because the mean of its divisors is an integer number (2420616276).

Almost surely, 2114123234000 is an apocalyptic number.

114123234000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114123234000 is an abundant number, since it is smaller than the sum of its proper divisors (273175370160).

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

114123234000 is a wasteful number, since it uses less digits than its factorization.

114123234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001126 (or 1001110 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 114123234000 its reverse (432321411), we get a palindrome (114555555411).

The spelling of 114123234000 in words is "one hundred fourteen billion, one hundred twenty-three million, two hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1900 2000 2280 2375 2850 3000 3800 4560 4750 5700 6000 7125 7600 9500 11400 14250 19000 22800 28500 38000 57000 114000 1001081 2002162 3003243 4004324 5005405 6006486 8008648 10010810 12012972 15016215 16017296 19020539 20021620 24025944 25027025 30032430 38041078 40043240 48051888 50054050 57061617 60064860 75081075 76082156 80086480 95102695 100108100 114123234 120129720 125135125 150162150 152164312 190205390 200216200 228246468 240259440 250270250 285308085 300324300 304328624 375405375 380410780 400432400 456492936 475513475 500540500 570616170 600648600 750810750 760821560 912985872 951026950 1001081000 1141232340 1201297200 1426540425 1501621500 1521643120 1902053900 2002162000 2282464680 2377567375 2853080850 3003243000 3804107800 4564929360 4755134750 5706161700 6006486000 7132702125 7608215600 9510269500 11412323400 14265404250 19020539000 22824646800 28530808500 38041078000 57061617000 114123234000