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144120044211130 = 25133149988381163
BaseRepresentation
bin100000110001001110010000…
…000010100100101110111010
3200220021202000200022000022001
4200301032100002210232322
5122342230322304224010
61230303500113051214
742233221022202061
oct4061162002445672
9626252020260261
10144120044211130
1141a14a70834459
12141b751b256b0a
136255600902a10
1427836397a11d8
15119dd5e281c3a
hex8313900a4bba

144120044211130 has 128 divisors (see below), whose sum is σ = 289291871232000. Its totient is φ = 51334952014080.

The previous prime is 144120044211097. The next prime is 144120044211163. The reversal of 144120044211130 is 31112440021441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144120044211097) and next prime (144120044211163).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1775645929 + ... + 1775727091.

It is an arithmetic number, because the mean of its divisors is an integer number (2260092744000).

Almost surely, 2144120044211130 is an apocalyptic number.

144120044211130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144120044211130 is an abundant number, since it is smaller than the sum of its proper divisors (145171827020870).

144120044211130 is a wasteful number, since it uses less digits than its factorization.

144120044211130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82596.

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 144120044211130 its reverse (31112440021441), we get a palindrome (175232484232571).

The spelling of 144120044211130 in words is "one hundred forty-four trillion, one hundred twenty billion, forty-four million, two hundred eleven thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 31 62 65 130 155 310 403 499 806 883 998 1766 2015 2495 4030 4415 4990 6487 8830 11479 12974 15469 22958 27373 30938 32435 54746 57395 64870 77345 81163 114790 136865 154690 162326 201097 273730 355849 402194 405815 440617 711698 811630 881234 1005485 1055119 1779245 2010970 2110238 2203085 2516053 3558490 4406170 5032106 5275595 5728021 10551190 11456042 12580265 13659127 25160530 27318254 28640105 32708689 40500337 57280210 65417378 68295635 71666929 81000674 136591270 143333858 163543445 177568651 202501685 327086890 355137302 358334645 405003370 526504381 716669290 887843255 931670077 1053008762 1255510447 1775686510 1863340154 2221674799 2511020894 2632521905 4443349598 4658350385 5265043810 6277552235 9316700770 11108373995 12555104470 16321635811 22216747990 28881772387 32643271622 35761797571 57763544774 71523595142 81608179055 144408861935 163216358110 178808987855 288817723870 357617975710 464903368423 929806736846 1108615724701 2217231449402 2324516842115 4649033684230 5543078623505 11086157247010 14412004421113 28824008842226 72060022105565 144120044211130