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20144254402432 = 27537143995267
BaseRepresentation
bin1001001010010001100110…
…01000001011111110000000
32122022202211201120102101101
410211020303020023332000
510120020413111334212
6110502050454344144
74146242255143546
oct445106310137600
978282751512341
1020144254402432
1164671484a5746
12231411205b054
13b317973bb904
144d8db6903d96
1524dee9331157
hex12523320bf80

20144254402432 has 128 divisors (see below), whose sum is σ = 41559102604800. Its totient is φ = 9720607303680.

The previous prime is 20144254402429. The next prime is 20144254402501. The reversal of 20144254402432 is 23420445244102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 20144254402391 and 20144254402400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211402863 + ... + 211498129.

It is an arithmetic number, because the mean of its divisors is an integer number (324680489100).

Almost surely, 220144254402432 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 20144254402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779551302400).

20144254402432 is an abundant number, since it is smaller than the sum of its proper divisors (21414848202368).

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

20144254402432 is an equidigital number, since it uses as much as digits as its factorization.

20144254402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95844 (or 95832 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 37.

Adding to 20144254402432 its reverse (23420445244102), we get a palindrome (43564699646534).

The spelling of 20144254402432 in words is "twenty trillion, one hundred forty-four billion, two hundred fifty-four million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 64 71 106 128 142 212 284 424 439 568 848 878 1136 1696 1756 2272 3392 3512 3763 4544 6784 7024 7526 9088 14048 15052 23267 28096 30104 31169 46534 56192 60208 62338 93068 95267 120416 124676 186136 190534 240832 249352 372272 381068 481664 498704 744544 762136 997408 1489088 1524272 1651957 1994816 2978176 3048544 3303914 3989632 5049151 6097088 6607828 6763957 10098302 12194176 13215656 13527914 20196604 26431312 27055828 40393208 41822213 52862624 54111656 80786416 83644426 105725248 108223312 161572832 167288852 211450496 216446624 323145664 334577704 358489721 432893248 646291328 669155408 716979442 865786496 1338310816 1433958884 2216577289 2676621632 2867917768 2969377123 4433154578 5353243264 5735835536 5938754246 8866309156 11471671072 11877508492 17732618312 22943342144 23755016984 35465236624 45886684288 47510033968 70930473248 95020067936 141860946496 157376987519 190040135872 283721892992 314753975038 380080271744 629507950076 1259015900152 2518031800304 5036063600608 10072127201216 20144254402432