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141132522245312 = 2613673522748221
BaseRepresentation
bin100000000101101111111001…
…110110101100110011000000
3200111201010201010122112211002
4200011233321312230303000
5121444303401143322222
61220055215145111132
741504326316401253
oct4005577166546300
9614633633575732
10141132522245312
1140a72a6a543524
12139b45181884a8
13609998029b5c0
1426bcbc9ba109a
15114b2aa238392
hex805bf9daccc0

141132522245312 has 112 divisors (see below), whose sum is σ = 302115112885152. Its totient is φ = 65027507650560.

The previous prime is 141132522245293. The next prime is 141132522245359. The reversal of 141132522245312 is 213542225231141.

It is a super-3 number, since 3×1411325222453123 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2926761362 + ... + 2926809582.

It is an arithmetic number, because the mean of its divisors is an integer number (2697456365046).

Almost surely, 2141132522245312 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 141132522245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151057556442576).

141132522245312 is an abundant number, since it is smaller than the sum of its proper divisors (160982590639840).

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

141132522245312 is a wasteful number, since it uses less digits than its factorization.

141132522245312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54146 (or 54136 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

Adding to 141132522245312 its reverse (213542225231141), we get a palindrome (354674747476453).

The spelling of 141132522245312 in words is "one hundred forty-one trillion, one hundred thirty-two billion, five hundred twenty-two million, two hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 673 832 1346 2692 5227 5384 8749 10454 10768 17498 20908 21536 34996 41816 43072 48221 67951 69992 83632 96442 135902 139984 167264 192884 271804 279968 334528 385768 543608 559936 626873 771536 1087216 1253746 1543072 2174432 2507492 3086144 3517771 4348864 5014984 7035542 10029968 14071084 20059936 28142168 32452733 40119872 45731023 56284336 64905466 91462046 112568672 129810932 182924092 225137344 252051167 259621864 365848184 421885529 504102334 519243728 731696368 843771058 1008204668 1038487456 1463392736 1687542116 2016409336 2076974912 2926785472 3276665171 3375084232 4032818672 6553330342 6750168464 8065637344 13106660684 13500336928 16131274688 26213321368 27000673856 52426642736 104853285472 169630435391 209706570944 339260870782 678521741564 1357043483128 2205195660083 2714086966256 4410391320166 5428173932512 8820782640332 10856347865024 17641565280664 35283130561328 70566261122656 141132522245312