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1442123042100 = 2235213673549443
BaseRepresentation
bin10100111111000101001…
…110110100110100110100
312002212101000221001020020
4110333011032310310310
5142111431444321400
63022300245405140
7206122103413656
oct24770516646464
95085330831206
101442123042100
11506667952284
121b35b01097b0
13a5cb7784260
144db28b406d6
15277a62112a0
hex14fc53b4d34

1442123042100 has 144 divisors (see below), whose sum is σ = 4500192510912. Its totient is φ = 354456023040.

The previous prime is 1442123042027. The next prime is 1442123042119. The reversal of 1442123042100 is 12403212441.

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, 2349979 + ... + 2899421.

Almost surely, 21442123042100 is an apocalyptic number.

1442123042100 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 1442123042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250096255456).

1442123042100 is an abundant number, since it is smaller than the sum of its proper divisors (3058069468812).

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

1442123042100 is a wasteful number, since it uses less digits than its factorization.

1442123042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550146 (or 550139 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1442123042100 its reverse (12403212441), we get a palindrome (1454526254541).

The spelling of 1442123042100 in words is "one trillion, four hundred forty-two billion, one hundred twenty-three million, forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 673 780 975 1300 1346 1950 2019 2692 3365 3900 4038 6730 8076 8749 10095 13460 16825 17498 20190 26247 33650 34996 40380 43745 50475 52494 67300 87490 100950 104988 131235 174980 201900 218725 262470 437450 524940 549443 656175 874900 1098886 1312350 1648329 2197772 2624700 2747215 3296658 5494430 6593316 7142759 8241645 10988860 13736075 14285518 16483290 21428277 27472150 28571036 32966580 35713795 41208225 42856554 54944300 71427590 82416450 85713108 107141385 142855180 164832900 178568975 214282770 357137950 369775139 428565540 535706925 714275900 739550278 1071413850 1109325417 1479100556 1848875695 2142827700 2218650834 3697751390 4437301668 4807076807 5546627085 7395502780 9244378475 9614153614 11093254170 14421230421 18488756950 19228307228 22186508340 24035384035 27733135425 28842460842 36977513900 48070768070 55466270850 57684921684 72106152105 96141536140 110932541700 120176920175 144212304210 240353840350 288424608420 360530760525 480707680700 721061521050 1442123042100