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146417961316 = 22112173932
BaseRepresentation
bin1000100001011100110…
…0001100100101100100
3111222221010020002120011
42020113030030211210
54344330444230231
6151132525020004
713402242064534
oct2102714144544
9458833202504
10146417961316
1157106138500
12244630b4604
1310a6541a843
14712db594c4
153c1e3b99b1
hex221730c964

146417961316 has 27 divisors (see below), whose sum is σ = 281659007833. Its totient is φ = 66549792320.

The previous prime is 146417961191. The next prime is 146417961317. The reversal of 146417961316 is 613169714641.

The square root of 146417961316 is 382646.

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

146417961316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 32109056100 + 114308905216 = 179190^2 + 338096^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 146417961316.

It is not an unprimeable number, because it can be changed into a prime (146417961317) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8409516 + ... + 8426908.

Almost surely, 2146417961316 is an apocalyptic number.

146417961316 is the 382646-th square number.

It is an amenable number.

146417961316 is a deficient number, since it is larger than the sum of its proper divisors (135241046517).

146417961316 is an frugal number, since it uses more digits than its factorization.

146417961316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34812 (or 17406 counting only the distinct ones).

The product of its digits is 653184, while the sum is 49.

Multiplying 146417961316 by its sum of digits (49), we get a square (7174480104484 = 26785222).

The spelling of 146417961316 in words is "one hundred forty-six billion, four hundred seventeen million, nine hundred sixty-one thousand, three hundred sixteen".

Divisors: 1 2 4 11 22 44 121 242 484 17393 34786 69572 191323 382646 765292 2104553 4209106 8418212 302516449 605032898 1210065796 3327680939 6655361878 13310723756 36604490329 73208980658 146417961316