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41130140040 = 23335113462133
BaseRepresentation
bin100110010011100011…
…000010000110001000
310221011102121121012000
4212103203002012020
51133213303440130
630521145351000
72654146264503
oct462343020610
9127142547160
1041130140040
1116496989a80
127b7a498460
133b56256b92
141dc271413a
15110ad23260
hex9938c2188

41130140040 has 128 divisors (see below), whose sum is σ = 149564188800. Its totient is φ = 9970940160.

The previous prime is 41130139927. The next prime is 41130140069. The reversal of 41130140040 is 4004103114.

It is a super-2 number, since 2×411301400402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41130139995 and 41130140022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1719187 + ... + 1742946.

It is an arithmetic number, because the mean of its divisors is an integer number (1168470225).

Almost surely, 241130140040 is an apocalyptic number.

41130140040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41130140040 is an abundant number, since it is smaller than the sum of its proper divisors (108434048760).

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

41130140040 is a wasteful number, since it uses less digits than its factorization.

41130140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462164 (or 3462154 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 41130140040 its reverse (4004103114), we get a palindrome (45134243154).

The spelling of 41130140040 in words is "forty-one billion, one hundred thirty million, one hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 3462133 6924266 10386399 13848532 17310665 20772798 27697064 31159197 34621330 38083463 41545596 51931995 62318394 69242660 76166926 83091192 93477591 103863990 114250389 124636788 138485320 152333852 155795985 186955182 190417315 207727980 228500778 249273576 304667704 311591970 342751167 373910364 380834630 415455960 457001556 467387955 571251945 623183940 685502334 747820728 761669260 914003112 934775910 1028253501 1142503890 1246367880 1371004668 1523338520 1713755835 1869551820 2056507002 2285007780 2742009336 3427511670 3739103640 4113014004 4570015560 5141267505 6855023340 8226028008 10282535010 13710046680 20565070020 41130140040