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128412086000 = 24531119729629
BaseRepresentation
bin111011110010111110…
…1001110111011110000
3110021110020222212010012
41313211331032323300
54100441443223000
6134554112354052
712164112502322
oct1674575167360
9407406885105
10128412086000
114a506302910
1220a78b45928
13c155c10c53
14630263d612
153518750735
hex1de5f4eef0

128412086000 has 160 divisors (see below), whose sum is σ = 340458655680. Its totient is φ = 46456704000.

The previous prime is 128412085999. The next prime is 128412086009. The reversal of 128412086000 is 680214821.

It is a happy number.

128412086000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128412086009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4319186 + ... + 4348814.

It is an arithmetic number, because the mean of its divisors is an integer number (2127866598).

Almost surely, 2128412086000 is an apocalyptic number.

128412086000 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 128412086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170229327840).

128412086000 is an abundant number, since it is smaller than the sum of its proper divisors (212046569680).

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

128412086000 is a wasteful number, since it uses less digits than its factorization.

128412086000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29860 (or 29844 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 128412086000 in words is "one hundred twenty-eight billion, four hundred twelve million, eighty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 197 200 220 250 275 394 400 440 500 550 788 880 985 1000 1100 1375 1576 1970 2000 2167 2200 2750 3152 3940 4334 4400 4925 5500 7880 8668 9850 10835 11000 15760 17336 19700 21670 22000 24625 29629 34672 39400 43340 49250 54175 59258 78800 86680 98500 108350 118516 148145 173360 197000 216700 237032 270875 296290 325919 394000 433400 474064 541750 592580 651838 740725 866800 1083500 1185160 1303676 1481450 1629595 2167000 2370320 2607352 2962900 3259190 3703625 4334000 5214704 5836913 5925800 6518380 7407250 8147975 11673826 11851600 13036760 14814500 16295950 23347652 26073520 29184565 29629000 32591900 40739875 46695304 58369130 59258000 64206043 65183800 81479750 93390608 116738260 128412086 130367600 145922825 162959500 233476520 256824172 291845650 321030215 325919000 466953040 513648344 583691300 642060430 651838000 729614125 1027296688 1167382600 1284120860 1459228250 1605151075 2334765200 2568241720 2918456500 3210302150 5136483440 5836913000 6420604300 8025755375 11673826000 12841208600 16051510750 25682417200 32103021500 64206043000 128412086000