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144503212000422 = 2311591371697159617
BaseRepresentation
bin100000110110110011000110…
…100111101100010010100110
3200221122101001022002111000110
4200312303012213230102212
5122420020034233003142
61231155505324353450
742303004205522352
oct4066630647542246
9627571038074013
10144503212000422
1142052516a8a810
12142598353a5886
136282795c37962
142797dc8280462
1511a8cd809899c
hex836cc69ec4a6

144503212000422 has 128 divisors (see below), whose sum is σ = 323156115924480. Its totient is φ = 42707010191360.

The previous prime is 144503212000351. The next prime is 144503212000447. The reversal of 144503212000422 is 224000212305441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 144503212000422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 905232358 + ... + 905391974.

It is an arithmetic number, because the mean of its divisors is an integer number (2524657155660).

Almost surely, 2144503212000422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144503212000422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161578057962240).

144503212000422 is an abundant number, since it is smaller than the sum of its proper divisors (178652903924058).

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

144503212000422 is a wasteful number, since it uses less digits than its factorization.

144503212000422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161526.

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 144503212000422 its reverse (224000212305441), we get a palindrome (368503424305863).

The spelling of 144503212000422 in words is "one hundred forty-four trillion, five hundred three billion, two hundred twelve million, four hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 59 66 118 137 177 274 354 411 649 822 1298 1507 1697 1947 3014 3394 3894 4521 5091 8083 9042 10182 16166 18667 24249 37334 48498 56001 88913 100123 112002 159617 177826 200246 232489 266739 300369 319234 464978 478851 533478 600738 697467 957702 1101353 1394934 1755787 2202706 2557379 3304059 3511574 5114758 5267361 6608118 7672137 9417403 10534722 13716851 15344274 18834806 21867529 27433702 28252209 41150553 43735058 56504418 65602587 82301106 103591433 131205174 150885361 207182866 240542819 270870049 301770722 310774299 452656083 481085638 541740098 621548598 721628457 812610147 905312166 1290184211 1443256914 1625220294 2580368422 2979570539 3870552633 5959141078 7741105266 8938711617 14192026321 15981332891 17877423234 28384052642 31962665782 37109196713 42576078963 47943998673 74218393426 85152157926 95887997346 111327590139 175794661801 222655180278 351589323602 408201163843 527383985403 816402327686 1054767970806 1224603491529 2189442606067 2449206983058 4378885212134 6568327818201 13136655636402 24083868666737 48167737333474 72251606000211 144503212000422