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4014231120 = 2432528119841
BaseRepresentation
bin1110111101000100…
…0100111001010000
3101100202111001212200
43233101010321100
531210120343440
61502154523200
7201322254504
oct35721047120
911322431780
104014231120
11177aa24289
12940436500
134bc8650b3
142a11ba304
15187636c30
hexef444e50

4014231120 has 120 divisors (see below), whose sum is σ = 13529783592. Its totient is φ = 1066598400.

The previous prime is 4014231103. The next prime is 4014231139. The reversal of 4014231120 is 211324104.

It can be written as a sum of positive squares in 4 ways, for example, as 16451136 + 3997779984 = 4056^2 + 63228^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×40142311202 = 32228102969552908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4014231093 and 4014231102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192400 + ... + 212240.

Almost surely, 24014231120 is an apocalyptic number.

4014231120 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 4014231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764891796).

4014231120 is an abundant number, since it is smaller than the sum of its proper divisors (9515552472).

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

4014231120 is a wasteful number, since it uses less digits than its factorization.

4014231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20141 (or 20132 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4014231120 is about 63357.9601944381. The cubic root of 4014231120 is about 1589.2813650529.

Adding to 4014231120 its reverse (211324104), we get a palindrome (4225555224).

The spelling of 4014231120 in words is "four billion, fourteen million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 281 360 562 720 843 1124 1405 1686 2248 2529 2810 3372 4215 4496 5058 5620 6744 8430 10116 11240 12645 13488 16860 19841 20232 22480 25290 33720 39682 40464 50580 59523 67440 79364 99205 101160 119046 158728 178569 198410 202320 238092 297615 317456 357138 396820 476184 595230 714276 793640 892845 952368 1190460 1428552 1587280 1785690 2380920 2857104 3571380 4761840 5575321 7142760 11150642 14285520 16725963 22301284 27876605 33451926 44602568 50177889 55753210 66903852 83629815 89205136 100355778 111506420 133807704 167259630 200711556 223012840 250889445 267615408 334519260 401423112 446025680 501778890 669038520 802846224 1003557780 1338077040 2007115560 4014231120