Search a number
-
+
141563832039 = 32779167181941
BaseRepresentation
bin1000001111010111011…
…1001010011011100111
3111112101211022210000100
42003311313022123213
54304410320111124
6145011124115143
713141040501250
oct2036567123347
9445354283010
10141563832039
1155045102313
1223529535ab3
13104708734b6
146bcd1c9b27
153a381791c9
hex20f5dca6e7

141563832039 has 96 divisors (see below), whose sum is σ = 239637565440. Its totient is φ = 78868857600.

The previous prime is 141563832017. The next prime is 141563832043. The reversal of 141563832039 is 930238365141.

141563832039 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 638 + 3 + 2 + 0 + 3 + 9 = 666.

It is not a de Polignac number, because 141563832039 - 27 = 141563831911 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 141563831985 and 141563832003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141563832239) 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, 150439309 + ... + 150440249.

It is an arithmetic number, because the mean of its divisors is an integer number (2496224640).

Almost surely, 2141563832039 is an apocalyptic number.

141563832039 is a deficient number, since it is larger than the sum of its proper divisors (98073733401).

141563832039 is a wasteful number, since it uses less digits than its factorization.

141563832039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 141563832039 in words is "one hundred forty-one billion, five hundred sixty-three million, eight hundred thirty-two thousand, thirty-nine".

Divisors: 1 3 7 9 21 63 79 167 181 237 501 543 553 711 941 1169 1267 1503 1629 1659 2823 3507 3801 4977 6587 8469 10521 11403 13193 14299 19761 30227 39579 42897 59283 74339 90681 92351 100093 118737 128691 157147 170321 211589 223017 272043 277053 300279 471441 510963 520373 634767 669051 831159 900837 1100029 1192247 1414323 1532889 1561119 1904301 2387933 3300087 3576741 4683357 7163799 9900261 10730223 12414613 13455359 16715531 21491397 28443607 37243839 40366077 50146593 85330821 86902291 94187513 111731517 121098231 150439779 199105249 255992463 260706873 282562539 597315747 782120619 847687617 1791947241 2247044953 6741134859 15729314671 20223404577 47187944013 141563832039