Search a number
-
+
4142118300 = 2235223600307
BaseRepresentation
bin1111011011100011…
…1011010110011100
3101200200010102002220
43312320323112130
531440340241200
61523003545340
7204434265435
oct36670732634
911620112086
104142118300
111836132871
1297722b250
135101c0c98
142b418a48c
151939994a0
hexf6e3b59c

4142118300 has 72 divisors (see below), whose sum is σ = 12505616256. Its totient is φ = 1056538560.

The previous prime is 4142118271. The next prime is 4142118301. The reversal of 4142118300 is 38112414.

It is a super-2 number, since 2×41421183002 = 34314288022389780000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142118301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293254 + ... + 307053.

Almost surely, 24142118300 is an apocalyptic number.

It is an amenable number.

4142118300 is an abundant number, since it is smaller than the sum of its proper divisors (8363497956).

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

4142118300 is a wasteful number, since it uses less digits than its factorization.

4142118300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600347 (or 600340 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 4142118300 is about 64359.2907046061. The cubic root of 4142118300 is about 1605.9825894877.

The spelling of 4142118300 in words is "four billion, one hundred forty-two million, one hundred eighteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 600307 1200614 1800921 2401228 3001535 3601842 6003070 7203684 9004605 12006140 13807061 15007675 18009210 27614122 30015350 36018420 41421183 45023025 55228244 60030700 69035305 82842366 90046050 138070610 165684732 180092100 207105915 276141220 345176525 414211830 690353050 828423660 1035529575 1380706100 2071059150 4142118300