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1140001104420 = 2232537171171337
BaseRepresentation
bin10000100101101101010…
…111000110001000100100
311000222112122012102012200
4100211231113012020210
5122134210240320140
62231413112014500
7145235201335143
oct20455527061044
94028478172180
101140001104420
113aa5209a3882
12164b34091430
138366a156429
143d267c8175a
151e9c2605030
hex1096d5c6224

1140001104420 has 72 divisors (see below), whose sum is σ = 3551462920824. Its totient is φ = 295784068608.

The previous prime is 1140001104353. The next prime is 1140001104587. The reversal of 1140001104420 is 244011000411.

1140001104420 is a `hidden beast` number, since 1 + 140 + 0 + 0 + 1 + 104 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 297585524196 + 842415580224 = 545514^2 + 917832^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1140001104393 and 1140001104402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85579009 + ... + 85592328.

Almost surely, 21140001104420 is an apocalyptic number.

1140001104420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140001104420 is an abundant number, since it is smaller than the sum of its proper divisors (2411461816404).

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

1140001104420 is a wasteful number, since it uses less digits than its factorization.

1140001104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171171389 (or 171171384 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1140001104420 its reverse (244011000411), we get a palindrome (1384012104831).

It can be divided in two parts, 1140001 and 104420, that added together give a palindrome (1244421).

The spelling of 1140001104420 in words is "one trillion, one hundred forty billion, one million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 171171337 342342674 513514011 684685348 855856685 1027028022 1540542033 1711713370 2054056044 2567570055 3081084066 3423426740 5135140110 6162168132 6333339469 7702710165 10270280220 12666678938 15405420330 19000018407 25333357876 30810840660 31666697345 38000036814 57000055221 63333394690 76000073628 95000092035 114000110442 126666789380 190000184070 228000220884 285000276105 380000368140 570000552210 1140001104420