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146452401481 = 372103432
BaseRepresentation
bin1000100001100100111…
…1100100110101001001
3112000000112000211120211
42020121033210311021
54344413303321411
6151140155121121
713403140605301
oct2103117446511
9460015024524
10146452401481
1157123620951
12244727431a1
1310a6c5b8839
147134562601
153c2241e221
hex22193e4d49

146452401481 has 9 divisors (see below), whose sum is σ = 150532106151. Its totient is φ = 142480451592.

The previous prime is 146452401449. The next prime is 146452401497. The reversal of 146452401481 is 184104254641.

The square root of 146452401481 is 382691.

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., 131047620025 + 15404781456 = 362005^2 + 124116^2 .

It is not a de Polignac number, because 146452401481 - 25 = 146452401449 is a prime.

It is a super-2 number, since 2×1464524014812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146452401281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14154396 + ... + 14164738.

Almost surely, 2146452401481 is an apocalyptic number.

146452401481 is the 382691-st square number.

146452401481 is the 191346-th centered octagonal number.

It is an amenable number.

146452401481 is a deficient number, since it is larger than the sum of its proper divisors (4079704670).

146452401481 is an frugal number, since it uses more digits than its factorization.

146452401481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20760 (or 10380 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 146452401481 in words is "one hundred forty-six billion, four hundred fifty-two million, four hundred one thousand, four hundred eighty-one".

Divisors: 1 37 1369 10343 382691 14159567 106977649 3958173013 146452401481