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40200424300 = 22521076435843
BaseRepresentation
bin100101011100001000…
…011100101101101100
310211202122012010221201
4211130020130231230
51124312302034200
630245014335244
72622126653131
oct453410345554
9124678163851
1040200424300
111605a100863
12795b05a524
133a38757a1a
141d35060588
1510a43c6c6a
hex95c21cb6c

40200424300 has 72 divisors (see below), whose sum is σ = 88202229696. Its totient is φ = 15902391360.

The previous prime is 40200424267. The next prime is 40200424307. The reversal of 40200424300 is 342400204.

It is a super-2 number, since 2×402004243002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40200424307) 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, 6877179 + ... + 6883021.

It is an arithmetic number, because the mean of its divisors is an integer number (1225030968).

Almost surely, 240200424300 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 40200424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44101114848).

40200424300 is an abundant number, since it is smaller than the sum of its proper divisors (48001805396).

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

40200424300 is a wasteful number, since it uses less digits than its factorization.

40200424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 40200424300 its reverse (342400204), we get a palindrome (40542824504).

The spelling of 40200424300 in words is "forty billion, two hundred million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 643 1070 1286 2140 2572 2675 3215 5350 5843 6430 10700 11686 12860 16075 23372 29215 32150 58430 64300 68801 116860 137602 146075 275204 292150 344005 584300 625201 688010 1250402 1376020 1720025 2500804 3126005 3440050 3757049 6252010 6880100 7514098 12504020 15028196 15630025 18785245 31260050 37570490 62520100 75140980 93926225 187852450 375704900 402004243 804008486 1608016972 2010021215 4020042430 8040084860 10050106075 20100212150 40200424300