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146450870721 = 3410124212
BaseRepresentation
bin1000100001100100100…
…1101111000111000001
3112000000102011001210000
42020121021233013001
54344412410330341
6151140102230213
713403121601401
oct2103111570701
9460012131700
10146450870721
1157122775861
1224472125369
1310a6c1a0b6c
147134284801
153c2221a8b6
hex221926f1c1

146450870721 has 45 divisors (see below), whose sum is σ = 221485888569. Its totient is φ = 96437628000.

The previous prime is 146450870677. The next prime is 146450870807. The reversal of 146450870721 is 127078054641.

The square root of 146450870721 is 382689.

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

146450870721 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 508 + 70 + 72 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2476157121 + 143974713600 = 49761^2 + 379440^2 .

It is not a de Polignac number, because 146450870721 - 213 = 146450862529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146450870821) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 347864091 + ... + 347864511.

Almost surely, 2146450870721 is an apocalyptic number.

146450870721 is the 382689-th square number.

146450870721 is the 191345-th centered octagonal number.

It is an amenable number.

146450870721 is a deficient number, since it is larger than the sum of its proper divisors (75035017848).

146450870721 is an frugal number, since it uses more digits than its factorization.

146450870721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 146450870721 in words is "one hundred forty-six billion, four hundred fifty million, eight hundred seventy thousand, seven hundred twenty-one".

Divisors: 1 3 9 27 81 101 303 421 909 1263 2727 3789 8181 10201 11367 30603 34101 42521 91809 127563 177241 275427 382689 531723 826281 1148067 1595169 3444201 4294621 4785507 12883863 14356521 17901341 38651589 53704023 115954767 161112069 347864301 483336207 1450008621 1808035441 5424106323 16272318969 48816956907 146450870721