Search a number
-
+
342321521445 = 325174399110501
BaseRepresentation
bin1001111101100111111…
…00111110001100100101
31012201120222100001222100
410332303330332030211
521102033302141240
6421132122122313
733506021631261
oct4766374761445
91181528301870
10342321521445
111221a5635802
1256416950399
1326385b500a7
14127d5b810a1
158d87db8e30
hex4fb3f3e325

342321521445 has 96 divisors (see below), whose sum is σ = 643581379584. Its totient is φ = 167650560000.

The previous prime is 342321521431. The next prime is 342321521447. The reversal of 342321521445 is 544125123243.

It is a happy number.

342321521445 is a `hidden beast` number, since 3 + 423 + 2 + 15 + 214 + 4 + 5 = 666.

It is not a de Polignac number, because 342321521445 - 27 = 342321521317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342321521447) 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, 32593695 + ... + 32604195.

It is an arithmetic number, because the mean of its divisors is an integer number (6703972704).

Almost surely, 2342321521445 is an apocalyptic number.

It is an amenable number.

342321521445 is a deficient number, since it is larger than the sum of its proper divisors (301259858139).

342321521445 is a wasteful number, since it uses less digits than its factorization.

342321521445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11563 (or 11560 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 342321521445 its reverse (544125123243), we get a palindrome (886446644688).

The spelling of 342321521445 in words is "three hundred forty-two billion, three hundred twenty-one million, five hundred twenty-one thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 17 43 45 51 85 129 153 215 255 387 645 731 765 991 1935 2193 2973 3655 4955 6579 8919 10501 10965 14865 16847 31503 32895 42613 44595 50541 52505 84235 94509 127839 151623 157515 178517 213065 252705 383517 451543 472545 535551 639195 724421 758115 892585 1354629 1606653 1917585 2173263 2257715 2677755 3622105 4063887 6519789 6773145 7676231 8033265 10406491 10866315 20319435 23028693 31219473 32598945 38381155 52032455 69086079 93658419 115143465 156097365 176910347 345430395 447479113 468292095 530731041 884551735 1342437339 1592193123 2237395565 2653655205 4027312017 6712186695 7607144921 7960965615 20136560085 22821434763 38035724605 68464304289 114107173815 342321521445