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4041042000 = 243534116427
BaseRepresentation
bin1111000011011101…
…0110100001010000
3101102121221012111020
43300313112201100
531234001321000
61504553315440
7202066201362
oct36067264120
911377835436
104041042000
111794076736
12949405b80
134c5291618
142a4998d32
15189b80ba0
hexf0dd6850

4041042000 has 160 divisors (see below), whose sum is σ = 13346895744. Its totient is φ = 1051264000.

The previous prime is 4041041993. The next prime is 4041042007. The reversal of 4041042000 is 2401404.

It is an interprime number because it is at equal distance from previous prime (4041041993) and next prime (4041042007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041042007) 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, 237787 + ... + 254213.

Almost surely, 24041042000 is an apocalyptic number.

4041042000 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 4041042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673447872).

4041042000 is an abundant number, since it is smaller than the sum of its proper divisors (9305853744).

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

4041042000 is a wasteful number, since it uses less digits than its factorization.

4041042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16494 (or 16478 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4041042000 is about 63569.1906508176. The cubic root of 4041042000 is about 1592.8117645735.

Adding to 4041042000 its reverse (2401404), we get a palindrome (4043443404).

The spelling of 4041042000 in words is "four billion, forty-one million, forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 125 150 164 200 205 240 246 250 300 328 375 400 410 492 500 600 615 656 750 820 984 1000 1025 1200 1230 1500 1640 1968 2000 2050 2460 3000 3075 3280 4100 4920 5125 6000 6150 8200 9840 10250 12300 15375 16400 16427 20500 24600 30750 32854 41000 49200 49281 61500 65708 82000 82135 98562 123000 131416 164270 197124 246000 246405 262832 328540 394248 410675 492810 657080 673507 788496 821350 985620 1232025 1314160 1347014 1642700 1971240 2020521 2053375 2464050 2694028 3285400 3367535 3942480 4041042 4106750 4928100 5388056 6160125 6570800 6735070 8082084 8213500 9856200 10102605 10776112 12320250 13470140 16164168 16427000 16837675 19712400 20205210 24640500 26940280 32328336 32854000 33675350 40410420 49281000 50513025 53880560 67350700 80820840 84188375 98562000 101026050 134701400 161641680 168376750 202052100 252565125 269402800 336753500 404104200 505130250 673507000 808208400 1010260500 1347014000 2020521000 4041042000