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44443340210040 = 233529107119355839
BaseRepresentation
bin10100001101011110001011…
…00000010111111101111000
312211100202000210102212111220
422012233011200113331320
521311124430043210130
6234304553313352040
712234632254465302
oct1206570540277570
9184322023385456
1044443340210040
1113185350a05342
124b99500868620
131ba4cb1aa4415
14ad90d7a30972
1552111744e410
hex286bc5817f78

44443340210040 has 128 divisors (see below), whose sum is σ = 139216651776000. Its totient is φ = 11335940069888.

The previous prime is 44443340210029. The next prime is 44443340210047. The reversal of 44443340210040 is 4001204334444.

It is a super-2 number, since 2×444433402100402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44443340209983 and 44443340210010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44443340210047) 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, 59305560 + ... + 60050279.

It is an arithmetic number, because the mean of its divisors is an integer number (1087630092000).

Almost surely, 244443340210040 is an apocalyptic number.

44443340210040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44443340210040 is an abundant number, since it is smaller than the sum of its proper divisors (94773311565960).

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

44443340210040 is a wasteful number, since it uses less digits than its factorization.

44443340210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119355989 (or 119355985 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 44443340210040 its reverse (4001204334444), we get a palindrome (48444544544484).

The spelling of 44443340210040 in words is "forty-four trillion, four hundred forty-three billion, three hundred forty million, two hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 107 116 120 145 174 214 232 290 321 348 428 435 535 580 642 696 856 870 1070 1160 1284 1605 1740 2140 2568 3103 3210 3480 4280 6206 6420 9309 12412 12840 15515 18618 24824 31030 37236 46545 62060 74472 93090 124120 186180 372360 119355839 238711678 358067517 477423356 596779195 716135034 954846712 1193558390 1432270068 1790337585 2387116780 2864540136 3461319331 3580675170 4774233560 6922638662 7161350340 10383957993 12771074773 13845277324 14322700680 17306596655 20767915986 25542149546 27690554648 34613193310 38313224319 41535831972 51084299092 51919789965 63855373865 69226386620 76626448638 83071663944 102168598184 103839579930 127710747730 138452773240 153252897276 191566121595 207679159860 255421495460 306505794552 370361168417 383132243190 415358319720 510842990920 740722336834 766264486380 1111083505251 1481444673668 1532528972760 1851805842085 2222167010502 2962889347336 3703611684170 4444334021004 5555417526255 7407223368340 8888668042008 11110835052510 14814446736680 22221670105020 44443340210040