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41140353320 = 2351121912233
BaseRepresentation
bin100110010100001001…
…111111100100101000
310221012010211111011122
4212110021333210220
51133223412301240
630522152314412
72654332143023
oct462411774450
9127163744148
1041140353320
11164a1725400
127b819a2a08
133b583c1841
141dc3c121ba
15110bb8e4b5
hex99427f928

41140353320 has 144 divisors (see below), whose sum is σ = 102720339540. Its totient is φ = 14817932800.

The previous prime is 41140353283. The next prime is 41140353347. The reversal of 41140353320 is 2335304114.

It can be written as a sum of positive squares in 2 ways, for example, as 39003880036 + 2136473284 = 197494^2 + 46222^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41140353320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 176567924 + ... + 176568156.

Almost surely, 241140353320 is an apocalyptic number.

41140353320 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 41140353320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51360169770).

41140353320 is an abundant number, since it is smaller than the sum of its proper divisors (61579986220).

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

41140353320 is a wasteful number, since it uses less digits than its factorization.

41140353320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 41140353320 its reverse (2335304114), we get a palindrome (43475657434).

The spelling of 41140353320 in words is "forty-one billion, one hundred forty million, three hundred fifty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 191 220 233 242 382 440 466 484 605 764 932 955 968 1165 1210 1528 1864 1910 2101 2330 2420 2563 3820 4202 4660 4840 5126 7640 8404 9320 10252 10505 12815 16808 20504 21010 23111 25630 28193 36481 42020 44503 46222 51260 56386 72962 84040 89006 92444 102520 112772 115555 140965 145924 178012 182405 184888 222515 225544 231110 281930 291848 356024 364810 401291 445030 462220 489533 563860 729620 802582 890060 924440 979066 1127720 1459240 1605164 1780120 1958132 2006455 2447665 3210328 3916264 4012910 4414201 4895330 5384863 8025820 8500073 8828402 9790660 10769726 16051640 17000146 17656804 19581320 21539452 22071005 26924315 34000292 35313608 42500365 43078904 44142010 53848630 68000584 85000730 88284020 93500803 107697260 170001460 176568040 187001606 215394520 340002920 374003212 467504015 748006424 935008030 1028508833 1870016060 2057017666 3740032120 4114035332 5142544165 8228070664 10285088330 20570176660 41140353320