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4200140304 = 24351956857
BaseRepresentation
bin1111101001011001…
…0000111000010000
3101211201022020100000
43322112100320100
532100213442204
61532435330000
7206040414003
oct37226207020
911751266300
104200140304
111865962638
12992750900
1351c227829
142bbb7153a
15198b0b039
hexfa590e10

4200140304 has 120 divisors (see below), whose sum is σ = 12831713440. Its totient is φ = 1326336768.

The previous prime is 4200140297. The next prime is 4200140333. The reversal of 4200140304 is 4030410024.

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 23 ways as a sum of consecutive naturals, for example, 45444 + ... + 102300.

Almost surely, 24200140304 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 4200140304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415856720).

4200140304 is an abundant number, since it is smaller than the sum of its proper divisors (8631573136).

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

4200140304 is a wasteful number, since it uses less digits than its factorization.

4200140304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56899 (or 56881 counting only the distinct ones).

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

The square root of 4200140304 is about 64808.4894438992. The cubic root of 4200140304 is about 1613.4466117366.

Adding to 4200140304 its reverse (4030410024), we get a palindrome (8230550328).

The spelling of 4200140304 in words is "four billion, two hundred million, one hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 912 972 1026 1296 1368 1539 1944 2052 2736 3078 3888 4104 4617 6156 8208 9234 12312 18468 24624 36936 56857 73872 113714 170571 227428 341142 454856 511713 682284 909712 1023426 1080283 1364568 1535139 2046852 2160566 2729136 3070278 3240849 4093704 4321132 4605417 6140556 6481698 8187408 8642264 9210834 9722547 12281112 12963396 13816251 17284528 18421668 19445094 24562224 25926792 27632502 29167641 36843336 38890188 51853584 55265004 58335282 73686672 77780376 87502923 110530008 116670564 155560752 175005846 221060016 233341128 262508769 350011692 466682256 525017538 700023384 1050035076 1400046768 2100070152 4200140304