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40046046400 = 2652127197077
BaseRepresentation
bin100101010010111011…
…100010110011000000
310211100212200221021201
4211102323202303000
51124003241441100
630221421430544
72615243530603
oct452273426300
9124325627251
1040046046400
1115a8aa49418
12791740b454
133a12785259
141d1c75633a
151095a8036a
hex952ee2cc0

40046046400 has 84 divisors (see below), whose sum is σ = 99314699008. Its totient is φ = 15892208640.

The previous prime is 40046046371. The next prime is 40046046431. The reversal of 40046046400 is 464064004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104662 + ... + 301738.

Almost surely, 240046046400 is an apocalyptic number.

40046046400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40046046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49657349504).

40046046400 is an abundant number, since it is smaller than the sum of its proper divisors (59268652608).

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

40046046400 is a wasteful number, since it uses less digits than its factorization.

40046046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197226 (or 197211 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 40046046400 in words is "forty billion, forty-six million, forty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 127 160 200 254 320 400 508 635 800 1016 1270 1600 2032 2540 3175 4064 5080 6350 8128 10160 12700 20320 25400 40640 50800 101600 197077 203200 394154 788308 985385 1576616 1970770 3153232 3941540 4926925 6306464 7883080 9853850 12612928 15766160 19707700 25028779 31532320 39415400 50057558 63064640 78830800 100115116 125143895 157661600 200230232 250287790 315323200 400460464 500575580 625719475 800920928 1001151160 1251438950 1601841856 2002302320 2502877900 4004604640 5005755800 8009209280 10011511600 20023023200 40046046400