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20401113222144 = 210322279751817
BaseRepresentation
bin1001010001110000000010…
…00110110100110000000000
32200020022211122202102100100
410220320001012310300000
510133222434441102034
6111220050402322400
74203634414115334
oct450700106646000
980208748672310
1020401113222144
116556077615736
122355a57659400
13b4ca804520b5
145075c22017c4
15255a2e378099
hex128e011b4c00

20401113222144 has 132 divisors (see below), whose sum is σ = 59167283365944. Its totient is φ = 6770412797952.

The previous prime is 20401113222103. The next prime is 20401113222163. The reversal of 20401113222144 is 44122231110402.

20401113222144 is a `hidden beast` number, since 2 + 0 + 401 + 1 + 1 + 32 + 221 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2783877 + ... + 6967940.

Almost surely, 220401113222144 is an apocalyptic number.

20401113222144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20401113222144 is an abundant number, since it is smaller than the sum of its proper divisors (38766170143800).

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

20401113222144 is a wasteful number, since it uses less digits than its factorization.

20401113222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9752070 (or 9752049 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 20401113222144 its reverse (44122231110402), we get a palindrome (64523344332546).

The spelling of 20401113222144 in words is "twenty trillion, four hundred one billion, one hundred thirteen million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 227 256 288 384 454 512 576 681 768 908 1024 1152 1362 1536 1816 2043 2304 2724 3072 3632 4086 4608 5448 7264 8172 9216 10896 14528 16344 21792 29056 32688 43584 58112 65376 87168 116224 130752 174336 232448 261504 348672 523008 697344 1046016 2092032 9751817 19503634 29255451 39007268 58510902 78014536 87766353 117021804 156029072 175532706 234043608 312058144 351065412 468087216 624116288 702130824 936174432 1248232576 1404261648 1872348864 2213662459 2496465152 2808523296 3744697728 4427324918 4992930304 5617046592 6640987377 7489395456 8854649836 9985860608 11234093184 13281974754 14978790912 17709299672 19922962131 22468186368 26563949508 29957581824 35418599344 39845924262 44936372736 53127899016 70837198688 79691848524 89872745472 106255798032 141674397376 159383697048 212511596064 283348794752 318767394096 425023192128 566697589504 637534788192 850046384256 1133395179008 1275069576384 1700092768512 2266790358016 2550139152768 3400185537024 5100278305536 6800371074048 10200556611072 20401113222144