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2442742472442 = 2323379115340507
BaseRepresentation
bin100011100010111110110…
…011000001111011111010
322122112010220220210101210
4203202332303001323322
5310010214033104232
65110102544423550
7341324302266246
oct43427663017372
98575126823353
102442742472442
11861a63497378
12335505617bb6
1314947118c70c
148632d54b426
154381c0325cc
hex238becc1efa

2442742472442 has 64 divisors (see below), whose sum is σ = 5115907630080. Its totient is φ = 776097552384.

The previous prime is 2442742472393. The next prime is 2442742472447.

2442742472442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2442742472391 and 2442742472400.

It is not an unprimeable number, because it can be changed into a prime (2442742472447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60283953 + ... + 60324459.

It is an arithmetic number, because the mean of its divisors is an integer number (79936056720).

Almost surely, 22442742472442 is an apocalyptic number.

2442742472442 is an abundant number, since it is smaller than the sum of its proper divisors (2673165157638).

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

2442742472442 is a wasteful number, since it uses less digits than its factorization.

2442742472442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42067.

The product of its digits is 6422528, while the sum is 48.

The spelling of 2442742472442 in words is "two trillion, four hundred forty-two billion, seven hundred forty-two million, four hundred seventy-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 23 46 69 138 379 758 1137 1153 2274 2306 3459 6918 8717 17434 26151 26519 40507 52302 53038 79557 81014 121521 159114 243042 436987 873974 931661 1310961 1863322 2621922 2794983 5589966 10050701 15352153 20101402 30152103 30704306 46056459 46704571 60304206 92112918 93409142 140113713 280227426 353099519 706199038 1059298557 1074205133 2118597114 2148410266 3222615399 6445230798 17701032409 35402064818 53103097227 106206194454 407123745407 814247490814 1221371236221 2442742472442