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41131153440 = 25325132197177
BaseRepresentation
bin100110010011100110…
…111001100000100000
310221011111112002022100
4212103212321200200
51133214033402230
630521223210400
72654161015146
oct462346714040
9127144462270
1041131153440
11164975113a3
127b7a8a6a00
133b56520220
141dc28d9596
15110ae73660
hex9939b9820

41131153440 has 144 divisors (see below), whose sum is σ = 151157057688. Its totient is φ = 10124587008.

The previous prime is 41131153363. The next prime is 41131153463. The reversal of 41131153440 is 4435113114.

41131153440 is a `hidden beast` number, since 4 + 1 + 1 + 311 + 5 + 344 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11383182864 + 29747970576 = 106692^2 + 172476^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1079869 + ... + 1117308.

Almost surely, 241131153440 is an apocalyptic number.

41131153440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41131153440 is an abundant number, since it is smaller than the sum of its proper divisors (110025904248).

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

41131153440 is a wasteful number, since it uses less digits than its factorization.

41131153440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197211 (or 2197200 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 41131153440 its reverse (4435113114), we get a palindrome (45566266554).

The spelling of 41131153440 in words is "forty-one billion, one hundred thirty-one million, one hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 2197177 4394354 6591531 8788708 10985885 13183062 17577416 19774593 21971770 26366124 28563301 32957655 35154832 39549186 43943540 52732248 57126602 65915310 70309664 79098372 85689903 87887080 98872965 105464496 114253204 131830620 142816505 158196744 171379806 175774160 197745930 210928992 228506408 257069709 263661240 285633010 316393488 342759612 351548320 395491860 428449515 457012816 514139418 527322480 571266020 632786976 685519224 790983720 856899030 914025632 1028278836 1054644960 1142532040 1285348545 1371038448 1581967440 1713798060 2056557672 2285064080 2570697090 2742076896 3163934880 3427596120 4113115344 4570128160 5141394180 6855192240 8226230688 10282788360 13710384480 20565576720 41131153440