Search a number
-
+
1142240144100 = 22352111372526521
BaseRepresentation
bin10000100111110010110…
…100010110101011100100
311001012022200100102020020
4100213302310112223210
5122203301434102400
62232423214235140
7145344530012466
oct20476264265344
94035280312206
101142240144100
1140046a8684a0
12165459ab5ab0
1383935ca6493
143d3db3a2136
151eaa3e842a0
hex109f2d16ae4

1142240144100 has 144 divisors (see below), whose sum is σ = 3631642934976. Its totient is φ = 274885376000.

The previous prime is 1142240144077. The next prime is 1142240144113. The reversal of 1142240144100 is 14410422411.

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, 811161 + ... + 1715360.

It is an arithmetic number, because the mean of its divisors is an integer number (25219742604).

Almost surely, 21142240144100 is an apocalyptic number.

1142240144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142240144100 is an abundant number, since it is smaller than the sum of its proper divisors (2489402790876).

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

1142240144100 is a wasteful number, since it uses less digits than its factorization.

1142240144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526686 (or 2526679 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1142240144100 its reverse (14410422411), we get a palindrome (1156650566511).

The spelling of 1142240144100 in words is "one trillion, one hundred forty-two billion, two hundred forty million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 137 150 165 220 274 275 300 330 411 548 550 660 685 822 825 1100 1370 1507 1644 1650 2055 2740 3014 3300 3425 4110 4521 6028 6850 7535 8220 9042 10275 13700 15070 18084 20550 22605 30140 37675 41100 45210 75350 90420 113025 150700 226050 452100 2526521 5053042 7579563 10106084 12632605 15159126 25265210 27791731 30318252 37897815 50530420 55583462 63163025 75795630 83375193 111166924 126326050 138958655 151591260 166750386 189489075 252652100 277917310 333500772 346133377 378978150 416875965 555834620 692266754 694793275 757956300 833751930 1038400131 1384533508 1389586550 1667503860 1730666885 2076800262 2084379825 2779173100 3461333770 3807467147 4153600524 4168759650 5192000655 6922667540 7614934294 8337519300 8653334425 10384001310 11422401441 15229868588 17306668850 19037335735 20768002620 22844802882 25960003275 34613337700 38074671470 45689605764 51920006550 57112007205 76149342940 95186678675 103840013100 114224014410 190373357350 228448028820 285560036025 380746714700 571120072050 1142240144100