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41552227313280 = 273257213928353
BaseRepresentation
bin10010111001010101000011…
…01111111010011010000000
312110010100120011110120002100
421130222201233322122000
520421242430143011110
6224212455114350400
711516022633362535
oct1134524157723200
9173110504416070
1041552227313280
1112270223065992
1247b1124a2b400
131a25487026528
14a391d21c2d8c
154c0d07270bc0
hex25caa1bfa680

41552227313280 has 96 divisors (see below), whose sum is σ = 143485034961060. Its totient is φ = 11080593948672.

The previous prime is 41552227313239. The next prime is 41552227313281. The reversal of 41552227313280 is 8231372225514.

41552227313280 is a `hidden beast` number, since 4 + 1 + 5 + 52 + 2 + 2 + 7 + 313 + 280 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40965017753664 + 587209559616 = 6400392^2 + 766296^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41552227313281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3606958417 + ... + 3606969936.

Almost surely, 241552227313280 is an apocalyptic number.

41552227313280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41552227313280 is an abundant number, since it is smaller than the sum of its proper divisors (101932807647780).

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

41552227313280 is a wasteful number, since it uses less digits than its factorization.

41552227313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7213928378 (or 7213928363 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

Adding to 41552227313280 its reverse (8231372225514), we get a palindrome (49783599538794).

The spelling of 41552227313280 in words is "forty-one trillion, five hundred fifty-two billion, two hundred twenty-seven million, three hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 7213928353 14427856706 21641785059 28855713412 36069641765 43283570118 57711426824 64925355177 72139283530 86567140236 108208925295 115422853648 129850710354 144278567060 173134280472 216417850590 230845707296 259701420708 288557134120 324626775885 346268560944 432835701180 461691414592 519402841416 577114268240 649253551770 692537121888 865671402360 923382829184 1038805682832 1154228536480 1298507103540 1385074243776 1731342804720 2077611365664 2308457072960 2597014207080 2770148487552 3462685609440 4155222731328 4616914145920 5194028414160 6925371218880 8310445462656 10388056828320 13850742437760 20776113656640 41552227313280