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20040015552240 = 2435337439564407
BaseRepresentation
bin1001000111001111011100…
…00000100001111011110000
32121221210210010210011211010
410203213232000201323300
510111313422440132430
6110342131150150520
74135562160425325
oct443475600417360
977853703704733
1020040015552240
116426a17378772
1222b7a807b2440
13b249c46500b8
144d3d28916b4c
1524b447de0cb0
hex1239ee021ef0

20040015552240 has 160 divisors (see below), whose sum is σ = 62450435773440. Its totient is φ = 5316000141312.

The previous prime is 20040015552203. The next prime is 20040015552317. The reversal of 20040015552240 is 4225551004002.

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 = 20040015552198 and 20040015552207.

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, 35224117 + ... + 35788523.

It is an arithmetic number, because the mean of its divisors is an integer number (390315223584).

Almost surely, 220040015552240 is an apocalyptic number.

20040015552240 is a gapful number since it is divisible by the number (20) 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 20040015552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31225217886720).

20040015552240 is an abundant number, since it is smaller than the sum of its proper divisors (42410420221200).

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

20040015552240 is a wasteful number, since it uses less digits than its factorization.

20040015552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565199 (or 565193 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 20040015552240 its reverse (4225551004002), we get a palindrome (24265566556242).

The spelling of 20040015552240 in words is "twenty trillion, forty billion, fifteen million, five hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 337 439 674 878 1011 1317 1348 1685 1756 2022 2195 2634 2696 3370 3512 4044 4390 5055 5268 5392 6585 6740 7024 8088 8780 10110 10536 13170 13480 16176 17560 20220 21072 26340 26960 35120 40440 52680 80880 105360 147943 295886 443829 564407 591772 739715 887658 1128814 1183544 1479430 1693221 1775316 2219145 2257628 2367088 2822035 2958860 3386442 3550632 4438290 4515256 5644070 5917720 6772884 7101264 8466105 8876580 9030512 11288140 11835440 13545768 16932210 17753160 22576280 27091536 33864420 35506320 45152560 67728840 135457680 190205159 247774673 380410318 495549346 570615477 743324019 760820636 951025795 991098692 1141230954 1238873365 1486648038 1521641272 1902051590 1982197384 2282461908 2477746730 2853077385 2973296076 3043282544 3716620095 3804103180 3964394768 4564923816 4955493460 5706154770 5946592152 7433240190 7608206360 9129847632 9910986920 11412309540 11893184304 14866480380 15216412720 19821973840 22824619080 29732960760 45649238160 59465921520 83500064801 167000129602 250500194403 334000259204 417500324005 501000388806 668000518408 835000648010 1002000777612 1252500972015 1336001036816 1670001296020 2004001555224 2505001944030 3340002592040 4008003110448 5010003888060 6680005184080 10020007776120 20040015552240