Search a number
-
+
44133140003320 = 235192331621153749
BaseRepresentation
bin10100000100011100011000…
…01000011111100111111000
312210021002100102000122122201
422002032030020133213320
521241034132320101240
6233510252402355544
712203341231312624
oct1202161410374770
9183232312018581
1044133140003320
1113075839a8a835
124b4936b35bbb4
131b8197795ac44
14ac80abd32184
1551800e536d9a
hex28238c21f9f8

44133140003320 has 128 divisors (see below), whose sum is σ = 105039909000000. Its totient is φ = 16641978716160.

The previous prime is 44133140003279. The next prime is 44133140003327. The reversal of 44133140003320 is 2330004133144.

It is a super-2 number, since 2×441331400033202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44133140003327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286969806 + ... + 287123554.

Almost surely, 244133140003320 is an apocalyptic number.

44133140003320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44133140003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52519954500000).

44133140003320 is an abundant number, since it is smaller than the sum of its proper divisors (60906768996680).

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

44133140003320 is a wasteful number, since it uses less digits than its factorization.

44133140003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155633 (or 155629 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 44133140003320 its reverse (2330004133144), we get a palindrome (46463144136464).

The spelling of 44133140003320 in words is "forty-four trillion, one hundred thirty-three billion, one hundred forty million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 233 380 466 760 932 1165 1621 1864 2330 3242 4427 4660 6484 8105 8854 9320 12968 16210 17708 22135 30799 32420 35416 44270 61598 64840 88540 123196 153749 153995 177080 246392 307498 307990 377693 614996 615980 755386 768745 1229992 1231960 1510772 1537490 1888465 2921231 3021544 3074980 3776930 5842462 6149960 7176167 7553860 11684924 14352334 14606155 15107720 23369848 28704668 29212310 35823517 35880835 57409336 58424620 71647034 71761670 116849240 143294068 143523340 179117585 249227129 286588136 287046680 358235170 498454258 680646823 716470340 996908516 1246135645 1361293646 1432940680 1993817032 2492271290 2722587292 3403234115 4735315451 4984542580 5445174584 6806468230 9470630902 9969085160 13612936460 18941261804 23676577255 27225872920 37882523608 47353154510 58069921057 94706309020 116139842114 189412618040 232279684228 290349605285 464559368456 580699210570 1103328500083 1161398421140 2206657000166 2322796842280 4413314000332 5516642500415 8826628000664 11033285000830 22066570001660 44133140003320