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442254451134 = 23313683344791
BaseRepresentation
bin1100110111110000110…
…10110110000110111110
31120021112110202220001110
412123320122312012332
524221214114414014
6535100251422450
743644322544436
oct6337032660676
91507473686043
10442254451134
111606171209a1
1271866154a26
13329207a8652
1417595d432c6
15b7862a5d59
hex66f86b61be

442254451134 has 32 divisors (see below), whose sum is σ = 888636559104. Its totient is φ = 146731590720.

The previous prime is 442254451129. The next prime is 442254451139. The reversal of 442254451134 is 431154452244.

It is an interprime number because it is at equal distance from previous prime (442254451129) and next prime (442254451139).

It is a super-4 number, since 4×4422544511344 (a number of 48 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442254451092 and 442254451101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442254451139) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1110279 + ... + 1455069.

It is an arithmetic number, because the mean of its divisors is an integer number (27769892472).

Almost surely, 2442254451134 is an apocalyptic number.

442254451134 is an abundant number, since it is smaller than the sum of its proper divisors (446382107970).

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

442254451134 is a wasteful number, since it uses less digits than its factorization.

442254451134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345792.

The product of its digits is 307200, while the sum is 39.

The spelling of 442254451134 in words is "four hundred forty-two billion, two hundred fifty-four million, four hundred fifty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 313 626 683 939 1366 1878 2049 4098 213779 344791 427558 641337 689582 1034373 1282674 2068746 107919583 215839166 235492253 323758749 470984506 647517498 706476759 1412953518 73709075189 147418150378 221127225567 442254451134