Search a number
-
+
141444235322424 = 23337278669103903
BaseRepresentation
bin100000001010010010001101…
…011001101110010000111000
3200112210221021221210112201000
4200022102031121232100320
5122014410243220304144
61220454330142125000
741536003003004526
oct4012221531562070
9615727257715630
10141444235322424
1141083188439a41
1213a44a10280760
1360c0198992268
1426cdd1a793316
151154450d8d769
hex80a48d66e438

141444235322424 has 128 divisors (see below), whose sum is σ = 393490266624000. Its totient is φ = 47077341201792.

The previous prime is 141444235322381. The next prime is 141444235322461. The reversal of 141444235322424 is 424223532444141.

141444235322424 is a `hidden beast` number, since 1 + 4 + 14 + 4 + 42 + 353 + 2 + 242 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 141444235322424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1361258457 + ... + 1361362359.

It is an arithmetic number, because the mean of its divisors is an integer number (3074142708000).

Almost surely, 2141444235322424 is an apocalyptic number.

It is an amenable number.

141444235322424 is an abundant number, since it is smaller than the sum of its proper divisors (252046031301576).

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

141444235322424 is a wasteful number, since it uses less digits than its factorization.

141444235322424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113314 (or 113304 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 45.

Adding to 141444235322424 its reverse (424223532444141), we get a palindrome (565667767766565).

The spelling of 141444235322424 in words is "one hundred forty-one trillion, four hundred forty-four billion, two hundred thirty-five million, three hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 727 1454 2181 2908 4362 5816 6543 8669 8724 13086 17338 17448 19629 26007 26172 34676 39258 52014 52344 69352 78021 78516 103903 104028 156042 157032 207806 208056 234063 311709 312084 415612 468126 623418 624168 831224 935127 936252 1246836 1870254 1872504 2493672 2805381 3740508 5610762 6302363 7481016 11221524 12604726 18907089 22443048 25209452 37814178 50418904 56721267 75537481 75628356 113442534 151074962 151256712 170163801 226612443 226885068 302149924 340327602 453224886 453770136 604299848 679837329 680655204 900735107 906449772 1359674658 1361310408 1801470214 1812899544 2039511987 2702205321 2719349316 3602940428 4079023974 5404410642 5438698632 7205880856 8106615963 8158047948 10808821284 16213231926 16316095896 21617642568 24319847889 32426463852 48639695778 64852927704 97279391556 194558783112 654834422789 1309668845578 1964503268367 2619337691156 3929006536734 5238675382312 5893509805101 7858013073468 11787019610202 15716026146936 17680529415303 23574039220404 35361058830606 47148078440808 70722117661212 141444235322424