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114427346000 = 24531123226141
BaseRepresentation
bin110101010010001100…
…1101011110001010000
3101221100122020110022212
41222210121223301100
53333321400033000
6124322303051252
711160421251512
oct1524431536120
9357318213285
10114427346000
114458a287750
121a2155a0b28
13aa37815b76
1457771b9bb2
152e9ab33c35
hex1aa466bc50

114427346000 has 160 divisors (see below), whose sum is σ = 314963341056. Its totient is φ = 39800640000.

The previous prime is 114427345999. The next prime is 114427346003. The reversal of 114427346000 is 643724411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114427346003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392930 + ... + 619070.

Almost surely, 2114427346000 is an apocalyptic number.

114427346000 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 114427346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157481670528).

114427346000 is an abundant number, since it is smaller than the sum of its proper divisors (200535995056).

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

114427346000 is a wasteful number, since it uses less digits than its factorization.

114427346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226198 (or 226182 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 114427346000 in words is "one hundred fourteen billion, four hundred twenty-seven million, three hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 125 176 184 200 220 230 250 253 275 368 400 440 460 500 506 550 575 880 920 1000 1012 1100 1150 1265 1375 1840 2000 2024 2200 2300 2530 2750 2875 4048 4400 4600 5060 5500 5750 6325 9200 10120 11000 11500 12650 20240 22000 23000 25300 31625 46000 50600 63250 101200 126500 226141 253000 452282 506000 904564 1130705 1809128 2261410 2487551 3618256 4522820 4975102 5201243 5653525 9045640 9950204 10402486 11307050 12437755 18091280 19900408 20804972 22614100 24875510 26006215 28267625 39800816 41609944 45228200 49751020 52012430 56535250 57213673 62188775 83219888 90456400 99502040 104024860 113070500 114427346 124377550 130031075 199004080 208049720 226141000 228854692 248755100 260062150 286068365 310943875 416099440 452282000 457709384 497510200 520124300 572136730 621887750 650155375 915418768 995020400 1040248600 1144273460 1243775500 1300310750 1430341825 2080497200 2288546920 2487551000 2600621500 2860683650 4577093840 4975102000 5201243000 5721367300 7151709125 10402486000 11442734600 14303418250 22885469200 28606836500 57213673000 114427346000