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4043420100 = 2233527971879
BaseRepresentation
bin1111000100000001…
…1011000111000100
3101102210102000122000
43301000123013010
531240103420400
61505120305300
7202125334536
oct36100330704
911383360560
104043420100
111795450405
1294a172230
134c5914b95
142a5017856
15189ea0600
hexf101b1c4

4043420100 has 144 divisors (see below), whose sum is σ = 13022083200. Its totient is φ = 1076319360.

The previous prime is 4043420099. The next prime is 4043420137. The reversal of 4043420100 is 10243404.

It is a super-2 number, since 2×40434201002 = 32698492210168020000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2150961 + ... + 2152839.

Almost surely, 24043420100 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 4043420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511041600).

4043420100 is an abundant number, since it is smaller than the sum of its proper divisors (8978663100).

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

4043420100 is a wasteful number, since it uses less digits than its factorization.

4043420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2686 counting only the distinct ones).

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

The square root of 4043420100 is about 63587.8927155162. The cubic root of 4043420100 is about 1593.1241528852.

Adding to 4043420100 its reverse (10243404), we get a palindrome (4053663504).

The spelling of 4043420100 in words is "four billion, forty-three million, four hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 797 900 1350 1594 1879 2391 2700 3188 3758 3985 4782 5637 7173 7516 7970 9395 9564 11274 11955 14346 15940 16911 18790 19925 21519 22548 23910 28185 28692 33822 35865 37580 39850 43038 46975 47820 50733 56370 59775 67644 71730 79700 84555 86076 93950 101466 107595 112740 119550 140925 143460 169110 179325 187900 202932 215190 239100 253665 281850 338220 358650 422775 430380 507330 537975 563700 717300 845550 1014660 1075950 1268325 1497563 1691100 2151900 2536650 2995126 4492689 5073300 5990252 7487815 8985378 13478067 14975630 17970756 22463445 26956134 29951260 37439075 40434201 44926890 53912268 67390335 74878150 80868402 89853780 112317225 134780670 149756300 161736804 202171005 224634450 269561340 336951675 404342010 449268900 673903350 808684020 1010855025 1347806700 2021710050 4043420100