Search a number
-
+
40020004644444 = 223211873111574919
BaseRepresentation
bin10010001100101111000100…
…01010010010011001011100
312020200212121221012020112200
421012113202022102121130
520221141432142110234
6221040534125131500
711300231010523206
oct1106274212223134
9166625557166480
1040020004644444
111182a430336580
1245a418a6b9b90
131943b40c0a396
149c4d9b24d776
1549602b0a3d99
hex2465e229265c

40020004644444 has 72 divisors (see below), whose sum is σ = 110370843972480. Its totient is φ = 12125884096800.

The previous prime is 40020004644401. The next prime is 40020004644479. The reversal of 40020004644444 is 44444640002004.

40020004644444 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 0 + 0 + 0 + 4 + 644 + 4 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40020004644399 and 40020004644408.

It is a congruent number.

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, 2329984 + ... + 9244935.

Almost surely, 240020004644444 is an apocalyptic number.

40020004644444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40020004644444 is an abundant number, since it is smaller than the sum of its proper divisors (70350839328036).

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

40020004644444 is a wasteful number, since it uses less digits than its factorization.

40020004644444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11583671 (or 11583666 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 40020004644444 its reverse (44444640002004), we get a palindrome (84464644646448).

The spelling of 40020004644444 in words is "forty trillion, twenty billion, four million, six hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 8731 17462 26193 34924 52386 78579 96041 104772 157158 192082 288123 314316 384164 576246 864369 1152492 1728738 3457476 11574919 23149838 34724757 46299676 69449514 104174271 127324109 138899028 208348542 254648218 381972327 416697084 509296436 763944654 1145916981 1527889308 2291833962 4583667924 101060617789 202121235578 303181853367 404242471156 606363706734 909545560101 1111666795679 1212727413468 1819091120202 2223333591358 3335000387037 3638182240404 4446667182716 6670000774074 10005001161111 13340001548148 20010002322222 40020004644444