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41113240020 = 223253496411021
BaseRepresentation
bin100110010010100010…
…100100000111010100
310221010020210222201100
4212102202210013110
51133144442140040
630515343230100
72653552526346
oct462242440724
9127106728640
1041113240020
1116488396816
127b748a8330
133b528ba778
141dc0395296
1511095d5b30
hex9928a41d4

41113240020 has 144 divisors (see below), whose sum is σ = 125385296400. Its totient is φ = 10904371200.

The previous prime is 41113239967. The next prime is 41113240027. The reversal of 41113240020 is 2004231114.

41113240020 is a `hidden beast` number, since 411 + 13 + 240 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4219281936 + 36893958084 = 64956^2 + 192078^2 .

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 = 41113239975 and 41113240002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41113240027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40267110 + ... + 40268130.

It is an arithmetic number, because the mean of its divisors is an integer number (870731225).

Almost surely, 241113240020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41113240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62692648200).

41113240020 is an abundant number, since it is smaller than the sum of its proper divisors (84272056380).

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

41113240020 is a wasteful number, since it uses less digits than its factorization.

41113240020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2021 counting only the distinct ones).

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

Adding to 41113240020 its reverse (2004231114), we get a palindrome (43117471134).

The spelling of 41113240020 in words is "forty-one billion, one hundred thirteen million, two hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 349 641 698 1021 1047 1282 1396 1745 1923 2042 2094 2564 3063 3141 3205 3490 3846 4084 4188 5105 5235 5769 6126 6282 6410 6980 7692 9189 9615 10210 10470 11538 12252 12564 12820 15315 15705 18378 19230 20420 20940 23076 28845 30630 31410 36756 38460 45945 57690 61260 62820 91890 115380 183780 223709 356329 447418 654461 671127 712658 894836 1068987 1118545 1308922 1342254 1425316 1781645 1963383 2013381 2137974 2237090 2617844 2684508 3206961 3272305 3355635 3563290 3926766 4026762 4275948 4474180 5344935 5890149 6413922 6544610 6711270 7126580 7853532 8053524 9816915 10066905 10689870 11780298 12827844 13089220 13422540 16034805 19633830 20133810 21379740 23560596 29450745 32069610 39267660 40267620 58901490 64139220 117802980 228406889 456813778 685220667 913627556 1142034445 1370441334 2055662001 2284068890 2740882668 3426103335 4111324002 4568137780 6852206670 8222648004 10278310005 13704413340 20556620010 41113240020