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142304404432140 = 223257310829863351
BaseRepresentation
bin100000010110110011010011…
…011110011110010100001100
3200122212011112121201202100200
4200112303103132132110030
5122123003410013312030
61222353424011253500
741655103541544516
oct4026632336362414
9618764477652320
10142304404432140
1141384a60485395
1213b6366914a290
13615332b428b22
14271d7d9c2cbb6
15116b9e6689d60
hex816cd379e50c

142304404432140 has 72 divisors (see below), whose sum is σ = 437569798874208. Its totient is φ = 37428007737600.

The previous prime is 142304404432139. The next prime is 142304404432217. The reversal of 142304404432140 is 41234404403241.

142304404432140 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 0 + 440 + 44 + 32 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142304404432095 and 142304404432104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5414918536 + ... + 5414944815.

Almost surely, 2142304404432140 is an apocalyptic number.

142304404432140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142304404432140 is an abundant number, since it is smaller than the sum of its proper divisors (295265394442068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142304404432140 is a wasteful number, since it uses less digits than its factorization.

142304404432140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10829863439 (or 10829863434 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 142304404432140 its reverse (41234404403241), we get a palindrome (183538808835381).

The spelling of 142304404432140 in words is "one hundred forty-two trillion, three hundred four billion, four hundred four million, four hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 10829863351 21659726702 32489590053 43319453404 54149316755 64979180106 97468770159 108298633510 129958360212 162447950265 194937540318 216597267020 324895900530 389875080636 487343850795 649791801060 790580024623 974687701590 1581160049246 1949375403180 2371740073869 3162320098492 3952900123115 4743480147738 7115220221607 7905800246230 9486960295476 11858700369345 14230440443214 15811600492460 23717400738690 28460880886428 35576101108035 47434801477380 71152202216070 142304404432140