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438494756145 = 351753140923027
BaseRepresentation
bin1100110000110000101…
…00101111110100110001
31112220211110020121002220
412120120110233310301
524141014124144040
6533235224231253
743452210633525
oct6303024576461
91486743217086
10438494756145
11159a67949456
1270b9700b529
13324718b3864
141731a8a3d85
15b61619c2d0
hex661852fd31

438494756145 has 64 divisors (see below), whose sum is σ = 757448029440. Its totient is φ = 215791566848.

The previous prime is 438494756143. The next prime is 438494756171. The reversal of 438494756145 is 541657494834.

It is a cyclic number.

It is not a de Polignac number, because 438494756145 - 21 = 438494756143 is a prime.

It is a super-2 number, since 2×4384947561452 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (438494756143) 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 63 ways as a sum of consecutive naturals, for example, 19031122 + ... + 19054148.

It is an arithmetic number, because the mean of its divisors is an integer number (11835125460).

Almost surely, 2438494756145 is an apocalyptic number.

It is an amenable number.

438494756145 is a deficient number, since it is larger than the sum of its proper divisors (318953273295).

438494756145 is a wasteful number, since it uses less digits than its factorization.

438494756145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24514.

The product of its digits is 58060800, while the sum is 60.

The spelling of 438494756145 in words is "four hundred thirty-eight billion, four hundred ninety-four million, seven hundred fifty-six thousand, one hundred forty-five".

Divisors: 1 3 5 15 17 51 53 85 159 255 265 795 901 1409 2703 4227 4505 7045 13515 21135 23027 23953 69081 71859 74677 115135 119765 224031 345405 359295 373385 391459 1120155 1174377 1220431 1269509 1957295 3661293 3808527 5871885 6102155 6347545 18306465 19042635 20747327 32445043 62241981 97335129 103736635 162225215 311209905 486675645 551565731 1654697193 1719587279 2757828655 5158761837 8273485965 8597936395 25793809185 29232983743 87698951229 146164918715 438494756145