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4040214300 = 22325216726881
BaseRepresentation
bin1111000011010000…
…1100011100011100
3101102120101011002200
43300310030130130
531233243324200
61504523451500
7202056153303
oct36064143434
911376334080
104040214300
111793660891
12949086b90
134c5061965
142a482143a
15189a6a800
hexf0d0c71c

4040214300 has 108 divisors (see below), whose sum is σ = 12740132496. Its totient is φ = 1070899200.

The previous prime is 4040214239. The next prime is 4040214307. The reversal of 4040214300 is 34120404.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040214307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136860 + ... + 163740.

Almost surely, 24040214300 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 4040214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370066248).

4040214300 is an abundant number, since it is smaller than the sum of its proper divisors (8699918196).

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

4040214300 is a wasteful number, since it uses less digits than its factorization.

4040214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27068 (or 27058 counting only the distinct ones).

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

The square root of 4040214300 is about 63562.6800882405. The cubic root of 4040214300 is about 1592.7030087692.

Adding to 4040214300 its reverse (34120404), we get a palindrome (4074334704).

It can be divided in two parts, 404021 and 4300, that added together give a square (408321 = 6392).

The spelling of 4040214300 in words is "four billion, forty million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 167 180 225 300 334 450 501 668 835 900 1002 1503 1670 2004 2505 3006 3340 4175 5010 6012 7515 8350 10020 12525 15030 16700 25050 26881 30060 37575 50100 53762 75150 80643 107524 134405 150300 161286 241929 268810 322572 403215 483858 537620 672025 806430 967716 1209645 1344050 1612860 2016075 2419290 2688100 4032150 4489127 4838580 6048225 8064300 8978254 12096450 13467381 17956508 22445635 24192900 26934762 40402143 44891270 53869524 67336905 80804286 89782540 112228175 134673810 161608572 202010715 224456350 269347620 336684525 404021430 448912700 673369050 808042860 1010053575 1346738100 2020107150 4040214300