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4113024221040 = 2435717314151611
BaseRepresentation
bin111011110110100011010…
…110001111111101110000
3112120012102201201000122220
4323312203112033331300
51014341433200033130
612425255223201040
7603104401015410
oct73664326177560
915505381630586
104113024221040
111346361a45809
1256516b5a6180
1323ab19a0a637
14103100032640
1571ec882d410
hex3bda358ff70

4113024221040 has 160 divisors (see below), whose sum is σ = 14656088664576. Its totient is φ = 934685537280.

The previous prime is 4113024221023. The next prime is 4113024221071. The reversal of 4113024221040 is 401224203114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4113024221040.

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, 6785166 + ... + 7366445.

Almost surely, 24113024221040 is an apocalyptic number.

4113024221040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113024221040 is an abundant number, since it is smaller than the sum of its proper divisors (10543064443536).

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

4113024221040 is a wasteful number, since it uses less digits than its factorization.

4113024221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14151807 (or 14151801 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4113024221040 its reverse (401224203114), we get a palindrome (4514248424154).

The spelling of 4113024221040 in words is "four trillion, one hundred thirteen billion, twenty-four million, two hundred twenty-one thousand, 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 84 105 112 120 140 168 173 210 240 280 336 346 420 519 560 692 840 865 1038 1211 1384 1680 1730 2076 2422 2595 2768 3460 3633 4152 4844 5190 6055 6920 7266 8304 9688 10380 12110 13840 14532 18165 19376 20760 24220 29064 36330 41520 48440 58128 72660 96880 145320 290640 14151611 28303222 42454833 56606444 70758055 84909666 99061277 113212888 141516110 169819332 198122554 212274165 226425776 283032220 297183831 339638664 396245108 424548330 495306385 566064440 594367662 679277328 792490216 849096660 990612770 1132128880 1188735324 1485919155 1584980432 1698193320 1981225540 2377470648 2448228703 2971838310 3396386640 3962451080 4754941296 4896457406 5943676620 7344686109 7924902160 9792914812 11887353240 12241143515 14689372218 17137600921 19585829624 23774706480 24482287030 29378744436 34275201842 36723430545 39171659248 48964574060 51412802763 58757488872 68550403684 73446861090 85688004605 97929148120 102825605526 117514977744 137100807368 146893722180 171376009210 195858296240 205651211052 257064013815 274201614736 293787444360 342752018420 411302422104 514128027630 587574888720 685504036840 822604844208 1028256055260 1371008073680 2056512110520 4113024221040