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142334434044231 = 311132348798330133
BaseRepresentation
bin100000010111001111010001…
…011000010110100101000111
3200122222001001102202002212220
4200113033101120112211013
5122124001410103403411
61222415311502143423
741660215651205142
oct4027172130264507
9618861042662786
10142334434044231
1141396770404420
1213b69449b81b73
13615610598b470
142721048185059
15116c6a2bb2b06
hex8173d1616947

142334434044231 has 128 divisors (see below), whose sum is σ = 233373865181184. Its totient is φ = 75929342353920.

The previous prime is 142334434044227. The next prime is 142334434044233. The reversal of 142334434044231 is 132440434433241.

It is not a de Polignac number, because 142334434044231 - 22 = 142334434044227 is a prime.

It is a super-2 number, since 2×1423344340442312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142334434044233) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4723525041 + ... + 4723555173.

It is an arithmetic number, because the mean of its divisors is an integer number (1823233321728).

Almost surely, 2142334434044231 is an apocalyptic number.

142334434044231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

142334434044231 is a deficient number, since it is larger than the sum of its proper divisors (91039431136953).

142334434044231 is a wasteful number, since it uses less digits than its factorization.

142334434044231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31653.

The product of its (nonzero) digits is 1327104, while the sum is 42.

Adding to 142334434044231 its reverse (132440434433241), we get a palindrome (274774868477472).

The spelling of 142334434044231 in words is "one hundred forty-two trillion, three hundred thirty-four billion, four hundred thirty-four million, forty-four thousand, two hundred thirty-one".

Divisors: 1 3 11 13 23 33 39 69 143 253 299 429 487 759 897 983 1461 2949 3289 5357 6331 9867 10813 11201 12779 16071 18993 22609 30133 32439 33603 38337 67827 69641 90399 123211 140569 145613 208923 248699 293917 331463 369633 391729 421707 436839 478721 693059 746097 881751 994389 1175187 1436163 1601743 2079177 3233087 4309019 4805229 5265931 6223373 7623649 9009767 9699261 11010583 12927057 14674771 15797793 18670119 22870947 27029301 29620739 33031749 44024313 68457103 88862217 99107437 121116413 143137579 161422481 190772023 205371309 297322311 325828129 337519733 363349239 385069607 429412737 484267443 572316069 681276997 977484387 1012559199 1155208821 1574513369 2043830991 2098492253 3712717063 4235765677 4387756529 4723540107 6295476759 7494046967 8856600961 11138151189 12707297031 13163269587 14425299893 22482140901 26569802883 43275899679 48265321819 97422610571 144795965457 158678298823 187528898609 292267831713 331781897539 476034896469 562586695827 995345692617 2062817884699 3649600872929 4313164668007 6188453654097 10948802618787 12939494004021 47444811348077 142334434044231