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41240140040 = 23511891377687
BaseRepresentation
bin100110011010000110…
…101001100100001000
310221110002121011211002
4212122012221210020
51133424433440130
630540115154132
72656653256301
oct463206514410
9127402534732
1041240140040
1116542a90670
127bab2a5948
133b72c8c238
141dd31897a8
151115800b45
hex99a1a9908

41240140040 has 128 divisors (see below), whose sum is σ = 103123756800. Its totient is φ = 14717767680.

The previous prime is 41240140037. The next prime is 41240140121. The reversal of 41240140040 is 4004104214.

It is a happy number.

It is a super-2 number, since 2×412401400402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 41240139994 and 41240140021.

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, 5361077 + ... + 5368763.

It is an arithmetic number, because the mean of its divisors is an integer number (805654350).

Almost surely, 241240140040 is an apocalyptic number.

41240140040 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 41240140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51561878400).

41240140040 is an abundant number, since it is smaller than the sum of its proper divisors (61883616760).

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

41240140040 is a wasteful number, since it uses less digits than its factorization.

41240140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7935 (or 7931 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 41240140040 its reverse (4004104214), we get a palindrome (45244244254).

The spelling of 41240140040 in words is "forty-one billion, two hundred forty million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 110 137 178 220 274 356 440 445 548 685 712 890 979 1096 1370 1507 1780 1958 2740 3014 3560 3916 4895 5480 6028 7535 7687 7832 9790 12056 12193 15070 15374 19580 24386 30140 30748 38435 39160 48772 60280 60965 61496 76870 84557 97544 121930 134123 153740 169114 243860 268246 307480 338228 422785 487720 536492 670615 676456 684143 845570 1053119 1072984 1341230 1368286 1691140 2106238 2682460 2736572 3382280 3420715 4212476 5265595 5364920 5473144 6841430 7525573 8424952 10531190 11584309 13682860 15051146 21062380 23168618 27365720 30102292 37627865 42124760 46337236 57921545 60204584 75255730 92674472 93727591 115843090 150511460 187455182 231686180 301022920 374910364 463372360 468637955 749820728 937275910 1031003501 1874551820 2062007002 3749103640 4124014004 5155017505 8248028008 10310035010 20620070020 41240140040