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20444211142140 = 223517173771153441
BaseRepresentation
bin1001010011000000010011…
…11100010101110111111100
32200101110002020002121011110
410221200021330111313330
510134424221023022030
6111251535124322020
74210021416312012
oct451401174256774
980343066077143
1020444211142140
116572383234935
122362284b43310
13b53b5b2819c6
1450970ddc48b2
15256c02ce71b0
hex129809f15dfc

20444211142140 has 96 divisors (see below), whose sum is σ = 60614613589824. Its totient is φ = 5130796400640.

The previous prime is 20444211142133. The next prime is 20444211142183. The reversal of 20444211142140 is 4124111244402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20444211142098 and 20444211142107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17147820 + ... + 18301260.

It is an arithmetic number, because the mean of its divisors is an integer number (631402224894).

Almost surely, 220444211142140 is an apocalyptic number.

20444211142140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20444211142140 is an abundant number, since it is smaller than the sum of its proper divisors (40170402447684).

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

20444211142140 is a wasteful number, since it uses less digits than its factorization.

20444211142140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170847 (or 1170845 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 20444211142140 its reverse (4124111244402), we get a palindrome (24568322386542).

The spelling of 20444211142140 in words is "twenty trillion, four hundred forty-four billion, two hundred eleven million, one hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 17377 34754 52131 69508 86885 104262 173770 208524 260655 295409 347540 521310 590818 886227 1042620 1153441 1181636 1477045 1772454 2306882 2954090 3460323 3544908 4431135 4613764 5767205 5908180 6920646 8862270 11534410 13841292 17301615 17724540 19608497 23068820 34603230 39216994 58825491 69206460 78433988 98042485 117650982 196084970 235301964 294127455 392169940 588254910 1176509820 20043344257 40086688514 60130032771 80173377028 100216721285 120260065542 200433442570 240520131084 300650163855 340736852369 400866885140 601300327710 681473704738 1022210557107 1202600655420 1362947409476 1703684261845 2044421114214 3407368523690 4088842228428 5111052785535 6814737047380 10222105571070 20444211142140