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40103014400 = 21252391631
BaseRepresentation
bin100101010110010100…
…110111000000000000
310211111211220012200122
4211112110313000000
51124112332430100
630231214435412
72616534666221
oct452624670000
9124454805618
1040103014400
111600a119309
127932502b68
133a21510127
141d26145248
15109aa84985
hex956537000

40103014400 has 78 divisors (see below), whose sum is σ = 99443589072. Its totient is φ = 16041164800.

The previous prime is 40103014387. The next prime is 40103014451. The reversal of 40103014400 is 441030104.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 93416 + ... + 298215.

Almost surely, 240103014400 is an apocalyptic number.

40103014400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40103014400 is an abundant number, since it is smaller than the sum of its proper divisors (59340574672).

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

40103014400 is an equidigital number, since it uses as much as digits as its factorization.

40103014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391665 (or 391638 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 40103014400 its reverse (441030104), we get a palindrome (40544044504).

The spelling of 40103014400 in words is "forty billion, one hundred three million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 4096 5120 6400 10240 12800 20480 25600 51200 102400 391631 783262 1566524 1958155 3133048 3916310 6266096 7832620 9790775 12532192 15665240 19581550 25064384 31330480 39163100 50128768 62660960 78326200 100257536 125321920 156652400 200515072 250643840 313304800 401030144 501287680 626609600 802060288 1002575360 1253219200 1604120576 2005150720 2506438400 4010301440 5012876800 8020602880 10025753600 20051507200 40103014400