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404231214132 = 223211228644837
BaseRepresentation
bin1011110000111100000…
…11101101010000110100
31102122101120100022121100
411320132003231100310
523110331142323012
6505411245450100
741130140425164
oct5703603552064
91378346308540
10404231214132
11146484a89189
1266414270930
132c171125845
14157ca1025a4
15a7ad0e18dc
hex5e1e0ed434

404231214132 has 18 divisors (see below), whose sum is σ = 1021806680258. Its totient is φ = 134743738032.

The previous prime is 404231214131. The next prime is 404231214133. The reversal of 404231214132 is 231412132404.

404231214132 is a `hidden beast` number, since 404 + 2 + 3 + 121 + 4 + 132 = 666.

It is an interprime number because it is at equal distance from previous prime (404231214131) and next prime (404231214133).

It can be written as a sum of positive squares in only one way, i.e., 293066318736 + 111164895396 = 541356^2 + 333414^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 404231214096 and 404231214105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404231214131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5614322383 + ... + 5614322454.

Almost surely, 2404231214132 is an apocalyptic number.

It is an amenable number.

404231214132 is an abundant number, since it is smaller than the sum of its proper divisors (617575466126).

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

404231214132 is a wasteful number, since it uses less digits than its factorization.

404231214132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11228644847 (or 11228644842 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 404231214132 its reverse (231412132404), we get a palindrome (635643346536).

The spelling of 404231214132 in words is "four hundred four billion, two hundred thirty-one million, two hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 11228644837 22457289674 33685934511 44914579348 67371869022 101057803533 134743738044 202115607066 404231214132