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41020254220440 = 233511127244692521
BaseRepresentation
bin10010101001110110001011…
…01011100111000010011000
312101020111110001020102221010
421110323011223213002120
520334033440040023230
6223124240013013520
711432421065610105
oct1124730553470230
9171214401212833
1041020254220440
1112085657125620
1247260001842a0
1319b7268aca611
14a1b5688a1aac
154b206e6b89b0
hex254ec5ae7098

41020254220440 has 128 divisors (see below), whose sum is σ = 135305176965120. Its totient is φ = 9866002406400.

The previous prime is 41020254220423. The next prime is 41020254220469. The reversal of 41020254220440 is 4402245202014.

It is a super-2 number, since 2×410202542204402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41020254220398 and 41020254220407.

It is a congruent number.

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, 122178621 + ... + 122513900.

It is an arithmetic number, because the mean of its divisors is an integer number (1057071695040).

Almost surely, 241020254220440 is an apocalyptic number.

41020254220440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41020254220440 is an abundant number, since it is smaller than the sum of its proper divisors (94284922744680).

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

41020254220440 is a wasteful number, since it uses less digits than its factorization.

41020254220440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244692673 (or 244692669 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 41020254220440 its reverse (4402245202014), we get a palindrome (45422499422454).

The spelling of 41020254220440 in words is "forty-one trillion, twenty billion, two hundred fifty-four million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 127 132 165 220 254 264 330 381 440 508 635 660 762 1016 1270 1320 1397 1524 1905 2540 2794 3048 3810 4191 5080 5588 6985 7620 8382 11176 13970 15240 16764 20955 27940 33528 41910 55880 83820 167640 244692521 489385042 734077563 978770084 1223462605 1468155126 1957540168 2446925210 2691617731 2936310252 3670387815 4893850420 5383235462 5872620504 7340775630 8074853193 9787700840 10766470924 13458088655 14681551260 16149706386 21532941848 26916177310 29363102520 31075950167 32299412772 40374265965 53832354620 62151900334 64598825544 80748531930 93227850501 107664709240 124303800668 155379750835 161497063860 186455701002 248607601336 310759501670 322994127720 341835451837 372911402004 466139252505 621519003340 683670903674 745822804008 932278505010 1025506355511 1243038006680 1367341807348 1709177259185 1864557010020 2051012711022 2734683614696 3418354518370 3729114020040 4102025422044 5127531777555 6836709036740 8204050844088 10255063555110 13673418073480 20510127110220 41020254220440