Search a number
-
+
128234440000 = 265412725243
BaseRepresentation
bin111011101101101011…
…1100100010101000000
3110020222212201111121201
41313123113210111000
54100111004040000
6134524325030544
712156524520052
oct1673327442500
9406885644551
10128234440000
114a424aa8837
1220a29555454
13c128182684
1462c6bd98d2
153507d5e96a
hex1ddb5e4540

128234440000 has 140 divisors (see below), whose sum is σ = 320496208384. Its totient is φ = 50887872000.

The previous prime is 128234439973. The next prime is 128234440003. The reversal of 128234440000 is 44432821.

It is a happy number.

It is a super-2 number, since 2×1282344400002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128234440003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5067379 + ... + 5092621.

Almost surely, 2128234440000 is an apocalyptic number.

128234440000 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 128234440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160248104192).

128234440000 is an abundant number, since it is smaller than the sum of its proper divisors (192261768384).

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

128234440000 is an equidigital number, since it uses as much as digits as its factorization.

128234440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25402 (or 25377 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 128234440000 its reverse (44432821), we get a palindrome (128278872821).

The spelling of 128234440000 in words is "one hundred twenty-eight billion, two hundred thirty-four million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 127 160 200 250 254 320 400 500 508 625 635 800 1000 1016 1250 1270 1600 2000 2032 2500 2540 3175 4000 4064 5000 5080 6350 8000 8128 10000 10160 12700 15875 20000 20320 25243 25400 31750 40000 40640 50486 50800 63500 79375 100972 101600 126215 127000 158750 201944 203200 252430 254000 317500 403888 504860 508000 631075 635000 807776 1009720 1016000 1262150 1270000 1615552 2019440 2524300 2540000 3155375 3205861 4038880 5048600 5080000 6310750 6411722 8077760 10097200 12621500 12823444 15776875 16029305 20194400 25243000 25646888 31553750 32058610 40388800 50486000 51293776 63107500 64117220 80146525 100972000 102587552 126215000 128234440 160293050 201944000 205175104 252430000 256468880 320586100 400732625 504860000 512937760 641172200 801465250 1009720000 1025875520 1282344400 1602930500 2003663125 2564688800 3205861000 4007326250 5129377600 6411722000 8014652500 12823444000 16029305000 25646888000 32058610000 64117220000 128234440000