Search a number
-
+
414960142276 = 22137223512
BaseRepresentation
bin1100000100111011000…
…11010100011111000100
31110200002021201100011101
412002131203110133010
523244314244023101
6514344031545444
741660046004111
oct6023543243704
91420067640141
10414960142276
1114aa90200749
126850938b284
1330190b40534
1416126dad908
15abd9e88401
hex609d8d47c4

414960142276 has 27 divisors (see below), whose sum is σ = 731830809997. Its totient is φ = 205878010400.

The previous prime is 414960142237. The next prime is 414960142277. The reversal of 414960142276 is 672241069414.

The square root of 414960142276 is 644174.

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., 243749564100 + 171210578176 = 493710^2 + 413776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414960142277) 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, 176502501 + ... + 176504851.

Almost surely, 2414960142276 is an apocalyptic number.

414960142276 is the 644174-th square number.

It is an amenable number.

414960142276 is a deficient number, since it is larger than the sum of its proper divisors (316870667721).

414960142276 is an frugal number, since it uses more digits than its factorization.

414960142276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4980 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 414960142276 in words is "four hundred fourteen billion, nine hundred sixty million, one hundred forty-two thousand, two hundred seventy-six".

Divisors: 1 2 4 137 274 548 2351 4702 9404 18769 37538 75076 322087 644174 1288348 5527201 11054402 22108804 44125919 88251838 176503676 757226537 1514453074 3028906148 103740035569 207480071138 414960142276