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404214063632514 = 232157217142836569
BaseRepresentation
bin101101111101000010110101…
…1101011010001000010000010
31222000012111011002110001112200
41123322011223223101002002
5410440120400242220024
63551405213255334030
7151066334212534512
oct13372055353210202
91860174132401480
10404214063632514
11107882249099753
1239403488081316
13144712b81c39a5
1471b60ca787842
1531ae8070602c9
hex16fa16bad1082

404214063632514 has 24 divisors (see below), whose sum is σ = 875802714628140. Its totient is φ = 134737163248128.

The previous prime is 404214063632381. The next prime is 404214063632531. The reversal of 404214063632514 is 415236360412404.

404214063632514 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 1 + 4 + 0 + 6 + 3 + 632 + 5 + 1 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 373690151358489 + 30523912274025 = 19331067^2 + 5524845^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 404214063632514.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68588379 + ... + 74248190.

Almost surely, 2404214063632514 is an apocalyptic number.

404214063632514 is an abundant number, since it is smaller than the sum of its proper divisors (471588650995626).

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

404214063632514 is a wasteful number, since it uses less digits than its factorization.

404214063632514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142993794 (or 142993791 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 404214063632514 in words is "four hundred four trillion, two hundred fourteen billion, sixty-three million, six hundred thirty-two thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 157217 314434 471651 943302 1414953 2829906 142836569 285673138 428509707 857019414 1285529121 2571058242 22456336868473 44912673736946 67369010605419 134738021210838 202107031816257 404214063632514