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143214412341 = 372111337184133
BaseRepresentation
bin1000010101100000111…
…1101000001000110101
3111200122212011221112010
42011120033220020311
54321300342143331
6145443005514433
713226662263600
oct2053017501065
9450585157463
10143214412341
1155811890770
122390a272a19
1310674808830
146d084c9337
153ad3019e46
hex21583e8235

143214412341 has 96 divisors (see below), whose sum is σ = 268016611968. Its totient is φ = 66817820160.

The previous prime is 143214412333. The next prime is 143214412351.

It is a happy number.

143214412341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 143214412341 - 23 = 143214412333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 143214412299 and 143214412308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143214412351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 685711 + ... + 869843.

It is an arithmetic number, because the mean of its divisors is an integer number (2791839708).

Almost surely, 2143214412341 is an apocalyptic number.

143214412341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

143214412341 is a deficient number, since it is larger than the sum of its proper divisors (124802199627).

143214412341 is a wasteful number, since it uses less digits than its factorization.

143214412341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184211 (or 184204 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 143214 and 412341, that added together give a palindrome (555555).

The spelling of 143214412341 in words is "one hundred forty-three billion, two hundred fourteen million, four hundred twelve thousand, three hundred forty-one".

Divisors: 1 3 7 11 13 21 33 37 39 49 77 91 111 143 147 231 259 273 407 429 481 539 637 777 1001 1221 1443 1617 1813 1911 2849 3003 3367 5291 5439 7007 8547 10101 15873 19943 21021 23569 37037 59829 70707 111111 184133 259259 552399 777777 1288931 2025463 2393729 3866793 6076389 6812921 7181187 9022517 14178241 16756103 20438763 26331019 27067551 42534723 47690447 50268309 74942131 78993057 88567973 99247687 117292721 143071341 184317133 224826393 265703919 297743061 333833129 351878163 524594917 552951399 619975811 974247703 1001499387 1290219931 1573784751 1859927433 2922743109 3672164419 3870659793 4339830677 6819733921 11016493257 13019492031 20459201763 47738137447 143214412341