Search a number
-
+
40453320300 = 22352678872269
BaseRepresentation
bin100101101011001101…
…001010111001101100
310212102021001121001020
4211223031022321230
51130322022222200
630330051014140
72631320356221
oct455315127154
9125367047036
1040453320300
1116179932318
127a0b89a350
133a78c72623
141d5a891948
1510bb6cdea0
hex96b34ae6c

40453320300 has 144 divisors (see below), whose sum is σ = 118978218240. Its totient is φ = 10609885440.

The previous prime is 40453320293. The next prime is 40453320307. The reversal of 40453320300 is 302335404.

It is an interprime number because it is at equal distance from previous prime (40453320293) and next prime (40453320307).

It is a super-2 number, since 2×404533203002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40453320307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17827566 + ... + 17829834.

Almost surely, 240453320300 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 40453320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59489109120).

40453320300 is an abundant number, since it is smaller than the sum of its proper divisors (78524897940).

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

40453320300 is a wasteful number, since it uses less digits than its factorization.

40453320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

Adding to 40453320300 its reverse (302335404), we get a palindrome (40755655704).

The spelling of 40453320300 in words is "forty billion, four hundred fifty-three million, three hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 887 1005 1340 1675 1774 2010 2269 2661 3350 3548 4020 4435 4538 5025 5322 6700 6807 8870 9076 10050 10644 11345 13305 13614 17740 20100 22175 22690 26610 27228 34035 44350 45380 53220 56725 59429 66525 68070 88700 113450 118858 133050 136140 152023 170175 178287 226900 237716 266100 297145 304046 340350 356574 456069 594290 608092 680700 713148 760115 891435 912138 1188580 1485725 1520230 1782870 1824276 2012603 2280345 2971450 3040460 3565740 3800575 4025206 4457175 4560690 5942900 6037809 7601150 8050412 8914350 9121380 10063015 11401725 12075618 15202300 17828700 20126030 22803450 24151236 30189045 40252060 45606900 50315075 60378090 100630150 120756180 134844401 150945225 201260300 269688802 301890450 404533203 539377604 603780900 674222005 809066406 1348444010 1618132812 2022666015 2696888020 3371110025 4045332030 6742220050 8090664060 10113330075 13484440100 20226660150 40453320300