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1020404024144 = 247115112794651
BaseRepresentation
bin11101101100101001101…
…00011100001101010000
310121112211201012020122222
432312110310130031100
5113204241412233034
62100433411320212
7133502364044621
oct16662464341520
93545751166588
101020404024144
1136382951926a
121459172b0068
13752ba5935cb
143756025da48
151b822bdd12e
hexed94d1c350

1020404024144 has 80 divisors (see below), whose sum is σ = 2020167843840. Its totient is φ = 499186800000.

The previous prime is 1020404024131. The next prime is 1020404024153. The reversal of 1020404024144 is 4414204040201.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 219392219 + ... + 219396869.

It is an arithmetic number, because the mean of its divisors is an integer number (25252098048).

Almost surely, 21020404024144 is an apocalyptic number.

It is an amenable number.

1020404024144 is a deficient number, since it is larger than the sum of its proper divisors (999763819696).

1020404024144 is a wasteful number, since it uses less digits than its factorization.

1020404024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6160 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 1020404024144 its reverse (4414204040201), we get a palindrome (5434608064345).

The spelling of 1020404024144 in words is "one trillion, twenty billion, four hundred four million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 71 142 151 284 302 568 604 1136 1208 1279 2416 2558 4651 5116 9302 10232 10721 18604 20464 21442 37208 42884 74416 85768 90809 171536 181618 193129 330221 363236 386258 660442 702301 726472 772516 1320884 1404602 1452944 1545032 2641768 2809204 3090064 5283536 5618408 5948629 11236816 11897258 13712159 23794516 27424318 47589032 49863371 54848636 95178064 99726742 109697272 199453484 219394544 398906968 422352659 797813936 844705318 898242979 1689410636 1796485958 3378821272 3592971916 6757642544 7185943832 14371887664 63775251509 127550503018 255101006036 510202012072 1020404024144