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142334333141 = 721113223411657
BaseRepresentation
bin1000010010001111001…
…0011001000011010101
3111121101112011021211012
42010203302121003111
54313000042130031
6145215410422005
713166114604200
oct2044362310325
9447345137735
10142334333141
1155400025190
1223703591905
1310564398500
146c63676937
153a80b25b2b
hex2123c990d5

142334333141 has 144 divisors (see below), whose sum is σ = 209195457408. Its totient is φ = 95480985600.

The previous prime is 142334333117. The next prime is 142334333143. The reversal of 142334333141 is 141333433241.

It is a happy number.

It is not a de Polignac number, because 142334333141 - 214 = 142334316757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142334333098 and 142334333107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142334333143) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85897985 + ... + 85899641.

It is an arithmetic number, because the mean of its divisors is an integer number (1452746232).

Almost surely, 2142334333141 is an apocalyptic number.

142334333141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142334333141 is a deficient number, since it is larger than the sum of its proper divisors (66861124267).

142334333141 is a wasteful number, since it uses less digits than its factorization.

142334333141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1752 counting only the distinct ones).

The product of its digits is 31104, while the sum is 32.

Adding to 142334333141 its reverse (141333433241), we get a palindrome (283667766382).

The spelling of 142334333141 in words is "one hundred forty-two billion, three hundred thirty-four million, three hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 7 11 13 23 41 49 77 91 143 161 169 253 287 299 451 533 539 637 943 1001 1127 1183 1657 1771 1859 2009 2093 3157 3289 3731 3887 5863 6601 6929 7007 8281 10373 11599 12259 12397 13013 14651 18227 21541 22099 23023 26117 27209 38111 41041 42757 46207 48503 67937 72611 76219 81193 85813 91091 127589 134849 150787 159367 161161 190463 236951 266777 280033 287287 299299 339521 419221 475559 495443 508277 533533 600691 747307 883181 893123 943943 1055509 1115569 1562551 1658657 1753037 1867439 1960231 2095093 2934547 3080363 3328913 3468101 3734731 5231149 5449873 6182267 6440759 6607601 7808983 9714991 10937857 11481353 11610599 12271259 13721617 17188061 20313163 20541829 21562541 24276707 36618043 38149111 43275869 45085313 68004937 70848349 76564999 80369471 85898813 120316427 126294883 142192141 150937787 223444793 264071119 267043777 315597191 476034559 495938443 562586297 842214989 884064181 995344987 1564113551 1848497833 2904782309 3471569101 6188449267 10948794857 12939484831 20333476163 142334333141