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4113045000 = 23335430467
BaseRepresentation
bin1111010100101000…
…0001011000001000
3101121122102100001000
43311022001120020
531410414420000
61520044455000
7203632206561
oct36512013010
911548370030
104113045000
111820785649
1296954a460
13507181a4c
142b037d168
15191155000
hexf5281608

4113045000 has 160 divisors (see below), whose sum is σ = 14277304800. Its totient is φ = 1096776000.

The previous prime is 4113044983. The next prime is 4113045061. The reversal of 4113045000 is 5403114.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119767 + ... + 150233.

It is an arithmetic number, because the mean of its divisors is an integer number (89233155).

Almost surely, 24113045000 is an apocalyptic number.

4113045000 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 4113045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7138652400).

4113045000 is an abundant number, since it is smaller than the sum of its proper divisors (10164259800).

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

4113045000 is a wasteful number, since it uses less digits than its factorization.

4113045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30502 (or 30477 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4113045000 is about 64133.0258135385. The cubic root of 4113045000 is about 1602.2163295512.

Adding to 4113045000 its reverse (5403114), we get a palindrome (4118448114).

The spelling of 4113045000 in words is "four billion, one hundred thirteen million, forty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 625 675 750 900 1000 1080 1125 1250 1350 1500 1800 1875 2250 2500 2700 3000 3375 3750 4500 5000 5400 5625 6750 7500 9000 11250 13500 15000 16875 22500 27000 30467 33750 45000 60934 67500 91401 121868 135000 152335 182802 243736 274203 304670 365604 457005 548406 609340 731208 761675 822609 914010 1096812 1218680 1371015 1523350 1645218 1828020 2193624 2285025 2742030 3046700 3290436 3656040 3808375 4113045 4570050 5484060 6093400 6580872 6855075 7616750 8226090 9140100 10968120 11425125 13710150 15233500 16452180 18280200 19041875 20565225 22850250 27420300 30467000 32904360 34275375 38083750 41130450 45700500 54840600 57125625 68550750 76167500 82260900 91401000 102826125 114251250 137101500 152335000 164521800 171376875 205652250 228502500 274203000 342753750 411304500 457005000 514130625 685507500 822609000 1028261250 1371015000 2056522500 4113045000