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20033131412144 = 2417372222124223
BaseRepresentation
bin1001000111000010100111…
…01011100111101010110000
32121221011000101001121221102
410203201103223213222300
510111210323120142034
6110335032111143532
74135226446255124
oct443412353475260
977834011047842
1020033131412144
116424004468394
1222b667b214ba8
13b24168351816
144d3874519584
1524b19386097e
hex123853ae7ab0

20033131412144 has 120 divisors (see below), whose sum is σ = 42258902007168. Its totient is φ = 9168054128640.

The previous prime is 20033131412057. The next prime is 20033131412149. The reversal of 20033131412144 is 44121413133002.

It is not an unprimeable number, because it can be changed into a prime (20033131412149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 827017217 + ... + 827041439.

Almost surely, 220033131412144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20033131412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21129451003584).

20033131412144 is an abundant number, since it is smaller than the sum of its proper divisors (22225770595024).

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

20033131412144 is a wasteful number, since it uses less digits than its factorization.

20033131412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26543 (or 26500 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 20033131412144 its reverse (44121413133002), we get a palindrome (64154544545146).

The spelling of 20033131412144 in words is "twenty trillion, thirty-three billion, one hundred thirty-one million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 592 629 1258 1369 2221 2516 2738 4442 5032 5476 8884 10064 10952 17768 21904 23273 24223 35536 37757 46546 48446 75514 82177 93092 96892 151028 164354 186184 193784 302056 328708 372368 387568 411791 604112 657416 823582 896251 1314832 1397009 1647164 1792502 2794018 3040549 3294328 3585004 5588036 6081098 6588656 7170008 11176072 12162196 14340016 15236267 22352144 24324392 30472534 33161287 48648784 51689333 53799283 60945068 66322574 103378666 107598566 121890136 132645148 206757332 215197132 243780272 265290296 413514664 430394264 530580592 563741879 827029328 860788528 914587811 1127483758 1829175622 1990573471 2254967516 3658351244 3981146942 4509935032 7316702488 7962293884 9019870064 14633404976 15924587768 31849175536 33839749007 67679498014 73651218427 135358996028 147302436854 270717992056 294604873708 541435984112 589209747416 1178419494832 1252070713259 2504141426518 5008282853036 10016565706072 20033131412144