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20442044240440 = 23513129313314517
BaseRepresentation
bin1001010010111100010001…
…10010010001001000111000
32200101020111012200120211221
410221132020302101020320
510134410301311143230
6111250540120201424
74206613625044234
oct451361062211070
980336435616757
1020442044240440
116571471061589
12236197b309274
13b538a436b654
145095862c15c4
15256b2796727a
hex129788c91238

20442044240440 has 64 divisors (see below), whose sum is σ = 46503883308960. Its totient is φ = 8086704437760.

The previous prime is 20442044240407. The next prime is 20442044240447. The reversal of 20442044240440 is 4404244024402.

It is a junction number, because it is equal to n+sod(n) for n = 20442044240396 and 20442044240405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20442044240447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5121939 + ... + 8192578.

Almost surely, 220442044240440 is an apocalyptic number.

20442044240440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20442044240440 is an abundant number, since it is smaller than the sum of its proper divisors (26061839068520).

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

20442044240440 is a wasteful number, since it uses less digits than its factorization.

20442044240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13314952 (or 13314948 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 34.

Adding to 20442044240440 its reverse (4404244024402), we get a palindrome (24846288264842).

The spelling of 20442044240440 in words is "twenty trillion, four hundred forty-two billion, forty-four million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 131 262 293 524 586 655 1048 1172 1310 1465 2344 2620 2930 5240 5860 11720 38383 76766 153532 191915 307064 383830 767660 1535320 13314517 26629034 53258068 66572585 106516136 133145170 266290340 532580680 1744201727 3488403454 3901153481 6976806908 7802306962 8721008635 13953613816 15604613924 17442017270 19505767405 31209227848 34884034540 39011534810 69768069080 78023069620 156046139240 511051106011 1022102212022 2044204424044 2555255530055 4088408848088 5110511060110 10221022120220 20442044240440