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2142066880020 = 2235372154316901
BaseRepresentation
bin11111001010111101001…
…000101010111000010100
321120210001022202010002010
4133022331020222320110
5240043423110130040
64320015115144220
7310521262026444
oct37127510527024
97523038663063
102142066880020
11756499a01531
122a7191a45070
13126cc43b90a2
14759687c6124
153aac03c2e80
hex1f2bd22ae14

2142066880020 has 144 divisors (see below), whose sum is σ = 6168630722688. Its totient is φ = 555386457600.

The previous prime is 2142066880001. The next prime is 2142066880061. The reversal of 2142066880020 is 200886602412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126733570 + ... + 126750470.

It is an arithmetic number, because the mean of its divisors is an integer number (42837713352).

Almost surely, 22142066880020 is an apocalyptic number.

2142066880020 is a gapful number since it is divisible by the number (20) 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 2142066880020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084315361344).

2142066880020 is an abundant number, since it is smaller than the sum of its proper divisors (4026563842668).

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

2142066880020 is a wasteful number, since it uses less digits than its factorization.

2142066880020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18530 (or 18491 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 2142066880020 in words is "two trillion, one hundred forty-two billion, sixty-six million, eight hundred eighty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1369 1543 2220 2738 3086 4107 4629 5476 6172 6845 7715 8214 9258 13690 15430 16428 16901 18516 20535 23145 27380 30860 33802 41070 46290 50703 57091 67604 82140 84505 92580 101406 114182 169010 171273 202812 228364 253515 285455 338020 342546 507030 570910 625337 685092 856365 1014060 1141820 1250674 1712730 1876011 2112367 2501348 3126685 3425460 3752022 4224734 6253370 6337101 7504044 8449468 9380055 10561835 12506740 12674202 18760110 21123670 23137469 25348404 26078243 31685505 37520220 42247340 46274938 52156486 63371010 69412407 78234729 92549876 104312972 115687345 126742020 130391215 138824814 156469458 231374690 260782430 277649628 312938916 347062035 391173645 462749380 521564860 694124070 782347290 964894991 1388248140 1564694580 1929789982 2894684973 3859579964 4824474955 5789369946 9648949910 11578739892 14473424865 19297899820 28946849730 35701114667 57893699460 71402229334 107103344001 142804458668 178505573335 214206688002 357011146670 428413376004 535516720005 714022293340 1071033440010 2142066880020