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4242234120 = 2335191860629
BaseRepresentation
bin1111110011011011…
…0101101100001000
3101221122111211012020
43330312311230020
532142002442440
61540541444440
7210061252335
oct37466655410
911848454166
104242234120
1118876a3313
129a4870720
13527b75407
142c35ab98c
1519c6733d0
hexfcdb5b08

4242234120 has 64 divisors (see below), whose sum is σ = 13396536000. Its totient is φ = 1071721728.

The previous prime is 4242234119. The next prime is 4242234127. The reversal of 4242234120 is 214322424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4242234127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 928035 + ... + 932594.

It is an arithmetic number, because the mean of its divisors is an integer number (209320875).

Almost surely, 24242234120 is an apocalyptic number.

4242234120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4242234120 is an abundant number, since it is smaller than the sum of its proper divisors (9154301880).

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

4242234120 is a wasteful number, since it uses less digits than its factorization.

4242234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860662 (or 1860658 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4242234120 is about 65132.4352377523. The cubic root of 4242234120 is about 1618.8186937451.

Adding to 4242234120 its reverse (214322424), we get a palindrome (4456556544).

The spelling of 4242234120 in words is "four billion, two hundred forty-two million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 1860629 3721258 5581887 7442516 9303145 11163774 14885032 18606290 22327548 27909435 35351951 37212580 44655096 55818870 70703902 74425160 106055853 111637740 141407804 176759755 212111706 223275480 282815608 353519510 424223412 530279265 707039020 848446824 1060558530 1414078040 2121117060 4242234120