Search a number
-
+
142320535542351 = 34191397438771021
BaseRepresentation
bin100000010111000010010100…
…111101110001101001001111
3200122220201011211021001120000
4200113002110331301221033
5122123234424044323401
61222405052413055343
741656214354661405
oct4027022475615117
9618821154231500
10142320535542351
1141390889030231
1213b6680b487553
1361549cc3c8c5a
1427204ca36d475
15116c13c92d186
hex817094f71a4f

142320535542351 has 160 divisors (see below), whose sum is σ = 226183931635200. Its totient is φ = 88931073450240.

The previous prime is 142320535542337. The next prime is 142320535542457. The reversal of 142320535542351 is 153245535023241.

142320535542351 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 2 + 0 + 53 + 5 + 542 + 3 + 51 = 666.

It is not a de Polignac number, because 142320535542351 - 213 = 142320535534159 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142320535542297 and 142320535542306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142320535544351) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 139393276221 + ... + 139393277241.

It is an arithmetic number, because the mean of its divisors is an integer number (1413649572720).

Almost surely, 2142320535542351 is an apocalyptic number.

142320535542351 is a deficient number, since it is larger than the sum of its proper divisors (83863396092849).

142320535542351 is a wasteful number, since it uses less digits than its factorization.

142320535542351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 142320535542351 in words is "one hundred forty-two trillion, three hundred twenty billion, five hundred thirty-five million, five hundred forty-two thousand, three hundred fifty-one".

Divisors: 1 3 9 19 27 57 81 139 171 417 513 743 877 1021 1251 1539 2229 2631 2641 3063 3753 6687 7893 7923 9189 11259 14117 16663 19399 20061 23679 23769 27567 42351 49989 58197 60183 71037 71307 82701 103277 121903 127053 141919 149967 174591 213921 309831 365709 381159 425757 449901 523773 651611 758603 895417 929493 1097127 1143477 1277271 1349703 1571319 1954833 1962263 2275809 2316157 2686251 2696461 2788479 3291381 3831813 5864499 5886789 6827427 6948471 8058753 8089383 8365437 9874143 11495439 12380609 14413457 17012923 17593497 17660367 20482281 20845413 24176259 24268149 37141827 43240371 51038769 52780491 52981101 61446843 62536239 72528777 72804447 90573929 105445817 111425481 124462963 129721113 153116307 158943303 187608717 218413341 271721787 316337451 334276443 373388889 389163339 459348921 665294831 815165361 949012353 1002829329 1120166667 1167490017 1378046763 1720904651 1995884493 2003470523 2364796297 2445496083 2847037059 3360500001 5162713953 5987653479 6010411569 7094388891 7336488249 8541111177 10081500003 12640601789 15488141859 17962960437 18031234707 21283166673 37921805367 46464425577 53888881311 54093704121 63849500019 92475981509 113765416101 139393276731 162281112363 191548500057 277427944527 341296248303 832283833581 1023888744909 1757043648671 2496851500743 5271130946013 7490554502229 15813392838039 47440178514117 142320535542351