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142141221322300 = 225219419287962017
BaseRepresentation
bin100000010100011011010101…
…000000010011111000111100
3200122021120100002220212112201
4200110123111000103320330
5122112320210124303200
61222150435311041244
741640235654155634
oct4024332500237074
9618246302825481
10142141221322300
1141321831905742
1213b37b07510224
136140b23885475
1427159596896c4
151167645538c6a
hex8146d5013e3c

142141221322300 has 144 divisors (see below), whose sum is σ = 325573661952000. Its totient is φ = 53715957166080.

The previous prime is 142141221322291. The next prime is 142141221322381. The reversal of 142141221322300 is 3223122141241.

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, 2291940892 + ... + 2292002908.

It is an arithmetic number, because the mean of its divisors is an integer number (2260928208000).

Almost surely, 2142141221322300 is an apocalyptic number.

142141221322300 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 142141221322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162786830976000).

142141221322300 is an abundant number, since it is smaller than the sum of its proper divisors (183432440629700).

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

142141221322300 is a wasteful number, since it uses less digits than its factorization.

142141221322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65348 (or 65341 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 142141221322300 its reverse (3223122141241), we get a palindrome (145364343463541).

The spelling of 142141221322300 in words is "one hundred forty-two trillion, one hundred forty-one billion, two hundred twenty-one million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 419 475 838 950 1676 1900 2095 2879 4190 5758 7961 8380 10475 11516 14395 15922 20950 28790 31844 39805 41900 54701 57580 62017 71975 79610 109402 124034 143950 159220 199025 218804 248068 273505 287900 310085 398050 547010 620170 796100 1094020 1178323 1206301 1240340 1367525 1550425 2356646 2412602 2735050 3100850 4713292 4825204 5470100 5891615 6031505 6201700 11783230 12063010 22919719 23566460 24126020 25985123 29458075 30157525 45839438 51970246 58916150 60315050 91678876 103940492 114598595 117832300 120630100 129925615 178546943 229197190 259851230 357093886 458394380 493717337 519702460 572992975 649628075 714187772 892734715 987434674 1145985950 1299256150 1785469430 1974869348 2291971900 2468586685 2598512300 3392391917 3570938860 4463673575 4937173370 6784783834 8927347150 9874346740 12342933425 13569567668 16961959585 17854694300 24685866850 33923919170 49371733700 67847838340 74811169117 84809797925 149622338234 169619595850 299244676468 339239191700 374055845585 748111691170 1421412213223 1496223382340 1870279227925 2842824426446 3740558455850 5685648852892 7107061066115 7481116911700 14214122132230 28428244264460 35535305330575 71070610661150 142141221322300