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4242541120 = 26563121011
BaseRepresentation
bin1111110011100000…
…0000101001000000
3101221200002102022121
43330320000221000
532142042303440
61540552214024
7210064001356
oct37470005100
911850072277
104242541120
111887892a34
129a499a314
13527c5207c
142c364b7d6
1519c6d434a
hexfce00a40

4242541120 has 56 divisors (see below), whose sum is σ = 10119043008. Its totient is φ = 1694246400.

The previous prime is 4242541117. The next prime is 4242541129. The reversal of 4242541120 is 211452424.

It is not an unprimeable number, because it can be changed into a prime (4242541129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191415 + ... + 212425.

Almost surely, 24242541120 is an apocalyptic number.

4242541120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059521504).

4242541120 is an abundant number, since it is smaller than the sum of its proper divisors (5876501888).

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

4242541120 is a wasteful number, since it uses less digits than its factorization.

4242541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21659 (or 21649 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 4242541120 is about 65134.7919318086. The cubic root of 4242541120 is about 1618.8577427727.

Adding to 4242541120 its reverse (211452424), we get a palindrome (4453993544).

The spelling of 4242541120 in words is "four billion, two hundred forty-two million, five hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 631 1262 2524 3155 5048 6310 10096 12620 20192 21011 25240 40384 42022 50480 84044 100960 105055 168088 201920 210110 336176 420220 672352 840440 1344704 1680880 3361760 6723520 13257941 26515882 53031764 66289705 106063528 132579410 212127056 265158820 424254112 530317640 848508224 1060635280 2121270560 4242541120