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146323080484 = 22728923072
BaseRepresentation
bin1000100001000110001…
…0010000010100100100
3111222200111200122112021
42020101202100110210
54344132202033414
6151115255232524
713400010443200
oct2102142202444
9458614618467
10146323080484
1157067623099
1224437378744
1310a4b87a139
1471212dbb00
153c15dc6c24
hex2211890524

146323080484 has 81 divisors (see below), whose sum is σ = 302240954673. Its totient is φ = 61803314496.

The previous prime is 146323080481. The next prime is 146323080499. The reversal of 146323080484 is 484080323641.

The square root of 146323080484 is 382522.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28097134884 + 118225945600 = 167622^2 + 343840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 146323080484.

It is not an unprimeable number, because it can be changed into a prime (146323080481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 476622259 + ... + 476622565.

Almost surely, 2146323080484 is an apocalyptic number.

146323080484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

146323080484 is the 382522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146323080484

146323080484 is an abundant number, since it is smaller than the sum of its proper divisors (155917874189).

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

146323080484 is an frugal number, since it uses more digits than its factorization.

146323080484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 146323080484 in words is "one hundred forty-six billion, three hundred twenty-three million, eighty thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 89 98 178 196 307 356 614 623 1228 1246 2149 2492 4298 4361 7921 8596 8722 15043 15842 17444 27323 30086 31684 54646 55447 60172 94249 109292 110894 188498 191261 221788 376996 382522 388129 659743 765044 776258 1319486 1338827 1552516 2431747 2638972 2677654 4618201 4863494 5355308 8388161 9236402 9726988 16776322 17022229 18472804 33552644 34044458 58717127 68088916 117434254 119155603 234868508 238311206 411019889 476622412 746546329 822039778 1493092658 1644079556 2986185316 5225824303 10451648606 20903297212 36580770121 73161540242 146323080484