Search a number
-
+
1004321140004 = 2272131948320231
BaseRepresentation
bin11101001110101100011…
…01000110110100100100
310120000022212102002012102
432213112031012310210
5112423322202440004
62045213451311232
7132363004556600
oct16472615066444
93500285362172
101004321140004
11357a26112386
1214278914b518
13739265aa310
14368762b4500
151b1d0cc411e
hexe9d6346d24

1004321140004 has 72 divisors (see below), whose sum is σ = 2202002808768. Its totient is φ = 397273826880.

The previous prime is 1004321139947. The next prime is 1004321140073. The reversal of 1004321140004 is 4000411234001.

1004321140004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49632569 + ... + 49652799.

It is an arithmetic number, because the mean of its divisors is an integer number (30583372344).

Almost surely, 21004321140004 is an apocalyptic number.

1004321140004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1004321140004 is an abundant number, since it is smaller than the sum of its proper divisors (1197681668764).

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

1004321140004 is a wasteful number, since it uses less digits than its factorization.

1004321140004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39745 (or 39736 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1004321140004 its reverse (4000411234001), we get a palindrome (5004732374005).

The spelling of 1004321140004 in words is "one trillion, four billion, three hundred twenty-one million, one hundred forty thousand, four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 19483 20231 38966 40462 77932 80924 136381 141617 253279 263003 272762 283234 506558 526006 545524 566468 954667 991319 1013116 1052012 1772953 1841021 1909334 1982638 3545906 3682042 3818668 3965276 7091812 7364084 12410671 12887147 24821342 25774294 49642684 51548588 394160573 788321146 1576642292 2759124011 5124087449 5518248022 10248174898 11036496044 19313868077 20496349796 35868612143 38627736154 71737224286 77255472308 143474448572 251080285001 502160570002 1004321140004