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241631456416 = 2576716100177
BaseRepresentation
bin1110000100001001011…
…0110110110010100000
3212002200201012210110121
43201002112312302200
512424330123101131
6303000504410024
723312565330340
oct3410226666240
9762621183417
10241631456416
1193525726629
123a9b5a76914
1319a2a39c35c
14b9a3210d20
1564432c0911
hex38425b6ca0

241631456416 has 48 divisors (see below), whose sum is σ = 551785300416. Its totient is φ = 102010715136.

The previous prime is 241631456383. The next prime is 241631456447. The reversal of 241631456416 is 614654136142.

241631456416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8035081 + ... + 8065096.

It is an arithmetic number, because the mean of its divisors is an integer number (11495527092).

Almost surely, 2241631456416 is an apocalyptic number.

It is an amenable number.

241631456416 is an abundant number, since it is smaller than the sum of its proper divisors (310153844000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241631456416 is a wasteful number, since it uses less digits than its factorization.

241631456416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16100261 (or 16100253 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The spelling of 241631456416 in words is "two hundred forty-one billion, six hundred thirty-one million, four hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 469 536 938 1072 1876 2144 3752 7504 15008 16100177 32200354 64400708 112701239 128801416 225402478 257602832 450804956 515205664 901609912 1078711859 1803219824 2157423718 3606439648 4314847436 7550983013 8629694872 15101966026 17259389744 30203932052 34518779488 60407864104 120815728208 241631456416