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20155301141344 = 252371530372733
BaseRepresentation
bin1001001010100110001011…
…00100001001101101100000
32122100211100120221220100121
410211103011210021231200
510120211024043010334
6110511114552330024
74150113102652465
oct445230544115540
978324316856317
1020155301141344
1164708a7057136
1223162956a3914
13b32837bcc205
144d9743a9d66c
1524e444053db4
hex1254c5909b60

20155301141344 has 96 divisors (see below), whose sum is σ = 41997677589504. Its totient is φ = 9501801576960.

The previous prime is 20155301141341. The next prime is 20155301141369. The reversal of 20155301141344 is 44314110355102.

It is a super-2 number, since 2×201553011413442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20155301141341) 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, 277077202 + ... + 277149934.

It is an arithmetic number, because the mean of its divisors is an integer number (437475808224).

Almost surely, 220155301141344 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 20155301141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20998838794752).

20155301141344 is an abundant number, since it is smaller than the sum of its proper divisors (21842376448160).

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

20155301141344 is a wasteful number, since it uses less digits than its factorization.

20155301141344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78140 (or 78132 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 20155301141344 its reverse (44314110355102), we get a palindrome (64469411496446).

The spelling of 20155301141344 in words is "twenty trillion, one hundred fifty-five billion, three hundred one million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 71 92 142 184 284 368 568 736 1136 1633 2272 3266 5303 6532 10606 13064 21212 26128 42424 52256 72733 84848 121969 145466 169696 243938 290932 376513 487876 581864 753026 975752 1163728 1506052 1672859 1951504 2327456 3012104 3345718 3903008 5164043 6024208 6691436 8659799 10328086 12048416 13382872 17319598 20656172 26765744 34639196 41312344 53531488 69278392 82624688 118772989 138556784 165249376 237545978 277113568 385703099 475091956 771406198 950183912 1542812396 1900367824 3085624792 3800735648 6171249584 8871171277 12342499168 17742342554 27384920029 35484685108 54769840058 70969370216 109539680116 141938740432 219079360232 283877480864 438158720464 629853160667 876317440928 1259706321334 2519412642668 5038825285336 10077650570672 20155301141344