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343432542401442 = 234131093496142793
BaseRepresentation
bin100111000010110011001111…
…0101100011011001110100010
31200000222211102100222112010000
41032011212132230123032202
5330003244321323321232
63214230422032520430
7132224116361535654
oct11605463654331642
91600884370875100
10343432542401442
119a478a17a1050a
123262763b6b0116
131198271bb59940
1460b431bd426d4
1529a87065e627c
hex138599eb1b3a2

343432542401442 has 160 divisors (see below), whose sum is σ = 836385503128560. Its totient is φ = 104696646266880.

The previous prime is 343432542401401. The next prime is 343432542401449. The reversal of 343432542401442 is 244104245234343.

343432542401442 is a `hidden beast` number, since 3 + 4 + 3 + 432 + 54 + 24 + 0 + 144 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 126845956033281 + 216586586368161 = 11262591^2 + 14716881^2 .

It is a super-2 number, since 2×3434325424014422 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (343432542401449) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8025415998 + ... + 8025458790.

Almost surely, 2343432542401442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343432542401442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418192751564280).

343432542401442 is an abundant number, since it is smaller than the sum of its proper divisors (492952960727118).

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

343432542401442 is a wasteful number, since it uses less digits than its factorization.

343432542401442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77890 (or 77881 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 45.

Adding to 343432542401442 its reverse (244104245234343), we get a palindrome (587536787635785).

The spelling of 343432542401442 in words is "three hundred forty-three trillion, four hundred thirty-two billion, five hundred forty-two million, four hundred one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 109 117 162 218 234 327 351 654 702 981 1053 1417 1962 2106 2834 2943 4251 5886 8502 8829 12753 17658 25506 34961 38259 42793 69922 76518 85586 104883 114777 128379 209766 229554 256758 314649 385137 454493 556309 629298 770274 908986 943947 1112618 1155411 1363479 1668927 1887894 2310822 2726958 2831841 3337854 3466233 3810749 4090437 4664437 5006781 5663682 6932466 7621498 8180874 9328874 10013562 11432247 12271311 13993311 15020343 22864494 24542622 27986622 30040686 34296741 36813933 41979933 45061029 49539737 60637681 68593482 73627866 83959866 90122058 99079474 102890223 121275362 125939799 148619211 181913043 205780446 251879598 297238422 308670669 363826086 377819397 445857633 545739129 617341338 755638794 891715266 1091478258 1337572899 1496086073 1637217387 2675145798 2992172146 3274434774 4012718697 4488258219 4911652161 8025437394 8976516438 9823304322 13464774657 19449118949 26929549314 38898237898 40394323971 58347356847 80788647942 116694713694 121182971913 163073381957 175042070541 242365943826 326146763914 350084141082 489220145871 525126211623 978440291742 1050252423246 1467660437613 1575378634869 2119953965441 2935320875226 3150757269738 4239907930882 4402981312839 6359861896323 8805962625678 12719723792646 13208943938517 19079585688969 26417887877034 38159171377938 57238757066907 114477514133814 171716271200721 343432542401442