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20020032314400 = 2535259141384409
BaseRepresentation
bin1001000110101010001101…
…11010100001110000100000
32121212220012110210111221010
410203111012322201300200
510111002011233030100
6110325024220100520
74134254030623566
oct443250672416040
977786173714833
1020020032314400
1164194a2358378
1222b4024394740
13b22b5b593c01
144d2d90955a36
1524ab78886750
hex123546ea1c20

20020032314400 has 144 divisors (see below), whose sum is σ = 66269700655200. Its totient is φ = 5248189224960.

The previous prime is 20020032314369. The next prime is 20020032314411. The reversal of 20020032314400 is 441323002002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70550605 + ... + 70833804.

It is an arithmetic number, because the mean of its divisors is an integer number (460206254550).

Almost surely, 220020032314400 is an apocalyptic number.

20020032314400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020032314400 is an abundant number, since it is smaller than the sum of its proper divisors (46249668340800).

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

20020032314400 is a wasteful number, since it uses less digits than its factorization.

20020032314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141384491 (or 141384478 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20020032314400 its reverse (441323002002), we get a palindrome (20461355316402).

The spelling of 20020032314400 in words is "twenty trillion, twenty billion, thirty-two million, three hundred fourteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 59 60 75 80 96 100 118 120 150 160 177 200 236 240 295 300 354 400 472 480 590 600 708 800 885 944 1180 1200 1416 1475 1770 1888 2360 2400 2832 2950 3540 4425 4720 5664 5900 7080 8850 9440 11800 14160 17700 23600 28320 35400 47200 70800 141600 141384409 282768818 424153227 565537636 706922045 848306454 1131075272 1413844090 1696612908 2120766135 2262150544 2827688180 3393225816 3534610225 4241532270 4524301088 5655376360 6786451632 7069220450 8341680131 8483064540 10603830675 11310752720 13572903264 14138440900 16683360262 16966129080 21207661350 22621505440 25025040393 28276881800 33366720524 33932258160 41708400655 42415322700 50050080786 56553763600 66733441048 67864516320 83416801310 84830645400 100100161572 113107527200 125125201965 133466882096 166833602620 169661290800 200200323144 208542003275 250250403930 266933764192 333667205240 339322581600 400400646288 417084006550 500500807860 625626009825 667334410480 800801292576 834168013100 1001001615720 1251252019650 1334668820960 1668336026200 2002003231440 2502504039300 3336672052400 4004006462880 5005008078600 6673344104800 10010016157200 20020032314400