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438381190404 = 223232173378493
BaseRepresentation
bin1100110000100011000…
…11100001110100000100
31112220112112112212012100
412120101203201310010
524140301041043104
6533220050152100
743446331431213
oct6302143416404
91486475485170
10438381190404
11159a09831873
1270b64b82630
13324542004b1
141730978107a
15b60b218139
hex66118e1d04

438381190404 has 36 divisors (see below), whose sum is σ = 1108167601996. Its totient is φ = 146122135488.

The previous prime is 438381190367. The next prime is 438381190409. The reversal of 438381190404 is 404091183834.

438381190404 is a `hidden beast` number, since 4 + 3 + 83 + 81 + 1 + 90 + 404 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 280637181504 + 157744008900 = 529752^2 + 397170^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 438381190404.

It is not an unprimeable number, because it can be changed into a prime (438381190409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 968982 + ... + 1347474.

Almost surely, 2438381190404 is an apocalyptic number.

It is an amenable number.

438381190404 is an abundant number, since it is smaller than the sum of its proper divisors (669786411592).

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

438381190404 is a wasteful number, since it uses less digits than its factorization.

438381190404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410676 (or 410671 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 438381190404 in words is "four hundred thirty-eight billion, three hundred eighty-one million, one hundred ninety thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 32173 64346 96519 128692 193038 289557 378493 386076 579114 756986 1135479 1158228 1513972 2270958 3406437 4541916 6812874 13625748 12177255289 24354510578 36531765867 48709021156 73063531734 109595297601 146127063468 219190595202 438381190404