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4020144300 = 22325241108947
BaseRepresentation
bin1110111110011110…
…1000100010101100
3101101011121111020100
43233213220202230
531213124104200
61502525351100
7201423443214
oct35747504254
911334544210
104020144300
1117832a2a07
12942408490
134c0b55713
142a1cb9244
15187e03d00
hexef9e88ac

4020144300 has 108 divisors (see below), whose sum is σ = 12908376936. Its totient is φ = 1045881600.

The previous prime is 4020144283. The next prime is 4020144361. The reversal of 4020144300 is 34410204.

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 35 ways as a sum of consecutive naturals, for example, 17574 + ... + 91373.

Almost surely, 24020144300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454188468).

4020144300 is an abundant number, since it is smaller than the sum of its proper divisors (8888232636).

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

4020144300 is a wasteful number, since it uses less digits than its factorization.

4020144300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109008 (or 108998 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4020144300 is about 63404.6078767151. The cubic root of 4020144300 is about 1590.0613480542.

Adding to 4020144300 its reverse (34410204), we get a palindrome (4054554504).

The spelling of 4020144300 in words is "four billion, twenty million, one hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 150 164 180 205 225 246 300 369 410 450 492 615 738 820 900 1025 1230 1476 1845 2050 2460 3075 3690 4100 6150 7380 9225 12300 18450 36900 108947 217894 326841 435788 544735 653682 980523 1089470 1307364 1634205 1961046 2178940 2723675 3268410 3922092 4466827 4902615 5447350 6536820 8171025 8933654 9805230 10894700 13400481 16342050 17867308 19610460 22334135 24513075 26800962 32684100 40201443 44668270 49026150 53601924 67002405 80402886 89336540 98052300 111670675 134004810 160805772 201007215 223341350 268009620 335012025 402014430 446682700 670024050 804028860 1005036075 1340048100 2010072150 4020144300