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40414224300 = 223521091235909
BaseRepresentation
bin100101101000111000…
…000001111110101100
310212022112111022102020
4211220320001332230
51130232020134200
630322133030140
72630334144552
oct455070017654
9125275438366
1040414224300
111615985997a
1279ba785350
133a70b343b8
141d555d5bd2
1510b8059ea0
hex968e01fac

40414224300 has 72 divisors (see below), whose sum is σ = 118004686800. Its totient is φ = 10678245120.

The previous prime is 40414224233. The next prime is 40414224307. The reversal of 40414224300 is 342241404.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40414224307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585255 + ... + 650654.

Almost surely, 240414224300 is an apocalyptic number.

It is an amenable number.

40414224300 is an abundant number, since it is smaller than the sum of its proper divisors (77590462500).

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

40414224300 is a wasteful number, since it uses less digits than its factorization.

40414224300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236035 (or 1236028 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40414224300 its reverse (342241404), we get a palindrome (40756465704).

The spelling of 40414224300 in words is "forty billion, four hundred fourteen million, two hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 150 218 300 327 436 545 654 1090 1308 1635 2180 2725 3270 5450 6540 8175 10900 16350 32700 1235909 2471818 3707727 4943636 6179545 7415454 12359090 14830908 18538635 24718180 30897725 37077270 61795450 74154540 92693175 123590900 134714081 185386350 269428162 370772700 404142243 538856324 673570405 808284486 1347140810 1616568972 2020711215 2694281620 3367852025 4041422430 6735704050 8082844860 10103556075 13471408100 20207112150 40414224300