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142426412133240 = 233519116193838213
BaseRepresentation
bin100000011000100100111011…
…101100111010101101111000
3200200021211110112202011000010
4200120210323230322231320
5122132003243001230430
61222525442423541520
741666653160105064
oct4030447354725570
9620254415664003
10142426412133240
114142177a667014
1213b832392ba8a0
1361619a35558c1
142725691a76aa4
15116ec87a24cb0
hex81893bb3ab78

142426412133240 has 128 divisors (see below), whose sum is σ = 429781709721600. Its totient is φ = 37758180257280.

The previous prime is 142426412133199. The next prime is 142426412133311. The reversal of 142426412133240 is 42331214624241.

142426412133240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35188374 + ... + 39026586.

It is an arithmetic number, because the mean of its divisors is an integer number (3357669607200).

Almost surely, 2142426412133240 is an apocalyptic number.

142426412133240 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 142426412133240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214890854860800).

142426412133240 is an abundant number, since it is smaller than the sum of its proper divisors (287355297588360).

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

142426412133240 is a wasteful number, since it uses less digits than its factorization.

142426412133240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840037 (or 3840033 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

Adding to 142426412133240 its reverse (42331214624241), we get a palindrome (184757626757481).

The spelling of 142426412133240 in words is "one hundred forty-two trillion, four hundred twenty-six billion, four hundred twelve million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1619 1910 2292 2865 3238 3820 4584 4857 5730 6476 7640 8095 9714 11460 12952 16190 19428 22920 24285 32380 38856 48570 64760 97140 194280 309229 618458 927687 1236916 1546145 1855374 2473832 3092290 3710748 3838213 4638435 6184580 7421496 7676426 9276870 11514639 12369160 15352852 18553740 19191065 23029278 30705704 37107480 38382130 46058556 57573195 76764260 92117112 115146390 153528520 230292780 460585560 733098683 1466197366 2199296049 2932394732 3665493415 4398592098 5864789464 6214066847 7330986830 8797184196 10996480245 12428133694 14661973660 17594368392 18642200541 21992960490 24856267388 29323947320 31070334235 37284401082 43985920980 49712534776 62140668470 74568802164 87971841960 93211002705 124281336940 149137604328 186422005410 248562673880 372844010820 745688021640 1186886767777 2373773535554 3560660303331 4747547071108 5934433838885 7121320606662 9495094142216 11868867677770 14242641213324 17803301516655 23737735355540 28485282426648 35606603033310 47475470711080 71213206066620 142426412133240