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44021104413240 = 23355091291955787
BaseRepresentation
bin10100000001001011101100…
…10010101000101000111000
312202212101011110021222122110
422000211312102220220320
521232220210212210430
6233343003255052320
712162264001440333
oct1200456622505070
9182771143258573
1044021104413240
11130322778a4779
124b2b7029710a0
131b74231805486
14ac28c066b61a
1551515389b7b0
hex2809764a8a38

44021104413240 has 128 divisors (see below), whose sum is σ = 132335384256000. Its totient is φ = 11714781516288.

The previous prime is 44021104413227. The next prime is 44021104413257. The reversal of 44021104413240 is 4231440112044.

It is a happy number.

It is a super-3 number, since 3×440211044132403 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44021104413198 and 44021104413207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789064627 + ... + 789120413.

It is an arithmetic number, because the mean of its divisors is an integer number (1033870189500).

Almost surely, 244021104413240 is an apocalyptic number.

44021104413240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44021104413240 is an abundant number, since it is smaller than the sum of its proper divisors (88314279842760).

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

44021104413240 is a wasteful number, since it uses less digits than its factorization.

44021104413240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69229 (or 69225 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 44021104413240 its reverse (4231440112044), we get a palindrome (48252544525284).

The spelling of 44021104413240 in words is "forty-four trillion, twenty-one billion, one hundred four million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 509 1018 1527 2036 2545 3054 4072 5090 6108 7635 10180 12216 12919 15270 20360 25838 30540 38757 51676 55787 61080 64595 77514 103352 111574 129190 155028 167361 193785 223148 258380 278935 310056 334722 387570 446296 516760 557870 669444 775140 836805 1115740 1338888 1550280 1673610 2231480 3347220 6575771 6694440 13151542 19727313 26303084 28395583 32878855 39454626 52606168 56791166 65757710 78909252 85186749 98636565 113582332 131515420 141977915 157818504 170373498 197273130 227164664 263030840 283955830 340746996 394546260 425933745 567911660 681493992 720712253 789092520 851867490 1135823320 1441424506 1703734980 2162136759 2882849012 3407469960 3603561265 4324273518 5765698024 7207122530 8648547036 10810683795 14414245060 17297094072 21621367590 28828490120 43242735180 86485470360 366842536777 733685073554 1100527610331 1467370147108 1834212683885 2201055220662 2934740294216 3668425367770 4402110441324 5502638051655 7336850735540 8804220882648 11005276103310 14673701471080 22010552206620 44021104413240