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41004414432240 = 24357125891938787
BaseRepresentation
bin10010101001011000101011…
…00011100111001111110000
312101011222120010212211101220
421110230111203213033300
520333304020043312430
6223113100135225040
711431320420620430
oct1124542543471760
9171158503784356
1041004414432240
1112079968a67276
124722b1b518180
1319b59132aa38c
14a1a8a4d162c0
154b1943cbd110
hex254b158e73f0

41004414432240 has 160 divisors (see below), whose sum is σ = 145284397155840. Its totient is φ = 9371688256512.

The previous prime is 41004414432203. The next prime is 41004414432251. The reversal of 41004414432240 is 4223441440014.

41004414432240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20180127 + ... + 22118913.

It is an arithmetic number, because the mean of its divisors is an integer number (908027482224).

Almost surely, 241004414432240 is an apocalyptic number.

41004414432240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41004414432240 is an abundant number, since it is smaller than the sum of its proper divisors (104279982723600).

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

41004414432240 is a wasteful number, since it uses less digits than its factorization.

41004414432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951399 (or 1951393 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 41004414432240 its reverse (4223441440014), we get a palindrome (45227855872254).

The spelling of 41004414432240 in words is "forty-one trillion, four billion, four hundred fourteen million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 12589 25178 37767 50356 62945 75534 88123 100712 125890 151068 176246 188835 201424 251780 264369 302136 352492 377670 440615 503560 528738 604272 704984 755340 881230 1007120 1057476 1321845 1409968 1510680 1762460 1938787 2114952 2643690 3021360 3524920 3877574 4229904 5287380 5816361 7049840 7755148 9693935 10574760 11632722 13571509 15510296 19387870 21149520 23265444 27143018 29081805 31020592 38775740 40714527 46530888 54286036 58163610 67857545 77551480 81429054 93061776 108572072 116327220 135715090 155102960 162858108 203572635 217144144 232654440 271430180 325716216 407145270 465308880 542860360 651432432 814290540 1085720720 1628581080 3257162160 24407389543 48814779086 73222168629 97629558172 122036947715 146444337258 170851726801 195259116344 244073895430 292888674516 341703453602 366110843145 390518232688 488147790860 512555180403 585777349032 683406907204 732221686290 854258634005 976295581720 1025110360806 1171554698064 1366813814408 1464443372580 1708517268010 1952591163440 2050220721612 2562775902015 2733627628816 2928886745160 3417034536020 4100441443224 5125551804030 5857773490320 6834069072040 8200882886448 10251103608060 13668138144080 20502207216120 41004414432240