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246938431041 = 3271223332
BaseRepresentation
bin1110010111111010101…
…1010110111001000001
3212121101120020001001100
43211332223112321001
513021212214243131
6305235243325013
723561236013511
oct3457653267101
9777346201040
10246938431041
11957a9341175
123ba37220769
131a3949cb523
14bd47d7d841
1566541627e6
hex397ead6e41

246938431041 has 27 divisors (see below), whose sum is σ = 361938527587. Its totient is φ = 162237379920.

The previous prime is 246938431039. The next prime is 246938431043. The reversal of 246938431041 is 140134839642.

The square root of 246938431041 is 496929.

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

246938431041 is a `hidden beast` number, since 2 + 469 + 3 + 84 + 3 + 104 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (246938431039) and next prime (246938431043).

It can be written as a sum of positive squares in only one way, i.e., 84532655025 + 162405776016 = 290745^2 + 402996^2 .

It is not a de Polignac number, because 246938431041 - 21 = 246938431039 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (246938431043) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 105844711 + ... + 105847043.

Almost surely, 2246938431041 is an apocalyptic number.

246938431041 is the 496929-th square number.

246938431041 is the 248465-th centered octagonal number.

It is an amenable number.

246938431041 is a deficient number, since it is larger than the sum of its proper divisors (115000096546).

246938431041 is an frugal number, since it uses more digits than its factorization.

246938431041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 246938431041 in words is "two hundred forty-six billion, nine hundred thirty-eight million, four hundred thirty-one thousand, forty-one".

Divisors: 1 3 9 71 213 639 2333 5041 6999 15123 20997 45369 165643 496929 1490787 5442889 11760653 16328667 35281959 48986001 105845877 386445119 1159335357 3478006071 27437603449 82312810347 246938431041