Search a number
-
+
4044412024002 = 234723121163249
BaseRepresentation
bin111010110110101001101…
…111011111010011000010
3112022122100000202021120000
4322312221233133103002
51012230423434232002
612333551025500430
7565125204661500
oct72665157372302
915278300667500
104044412024002
11131a253171639
12553a014a1716
13234503c60b8c
14dda71875670
157030eea361c
hex3ada9bdf4c2

4044412024002 has 120 divisors (see below), whose sum is σ = 10545509551500. Its totient is φ = 1155168967680.

The previous prime is 4044412023961. The next prime is 4044412024019. The reversal of 4044412024002 is 2004202144404.

4044412024002 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 412 + 0 + 240 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3977595460881 + 66816563121 = 1994391^2 + 258489^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24692874 + ... + 24856122.

Almost surely, 24044412024002 is an apocalyptic number.

4044412024002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044412024002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272754775750).

4044412024002 is an abundant number, since it is smaller than the sum of its proper divisors (6501097527498).

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

4044412024002 is a wasteful number, since it uses less digits than its factorization.

4044412024002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166398 (or 166382 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4044412024002 its reverse (2004202144404), we get a palindrome (6048614168406).

The spelling of 4044412024002 in words is "four trillion, forty-four billion, four hundred twelve million, twenty-four thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3121 3969 6242 7938 9363 18726 21847 28089 43694 56178 65541 84267 131082 152929 163249 168534 196623 252801 305858 326498 393246 458787 489747 505602 589869 917574 979494 1142743 1179738 1376361 1469241 1769607 2285486 2752722 2938482 3428229 3539214 4129083 4407723 6856458 7999201 8258166 8815446 10284687 12387249 13223169 15998402 20569374 23997603 24774498 26446338 30854061 47995206 61708122 71992809 92562183 143985618 185124366 215978427 431956854 509500129 647935281 1019000258 1295870562 1528500387 3057000774 3566500903 4585501161 7133001806 9171002322 10699502709 13756503483 21399005418 24965506321 27513006966 32098508127 41269510449 49931012642 64197016254 74896518963 82539020898 96295524381 149793037926 192591048762 224689556889 288886573143 449379113778 577773146286 674068670667 1348137341334 2022206012001 4044412024002