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40105212000 = 2535372232141
BaseRepresentation
bin100101010110011101…
…001111100001100000
310211112000000212020020
4211112131033201200
51124113413241000
630231333513440
72616562451220
oct452635174140
9124460025206
1040105212000
111601038a407
1279331a2880
133a21acc499
141d26558080
15109ad6aba0
hex95674f860

40105212000 has 384 divisors, whose sum is σ = 150897696768. Its totient is φ = 9121536000.

The previous prime is 40105211963. The next prime is 40105212031. The reversal of 40105212000 is 21250104.

It is a super-3 number, since 3×401052120003 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 18730930 + ... + 18733070.

It is an arithmetic number, because the mean of its divisors is an integer number (392962752).

Almost surely, 240105212000 is an apocalyptic number.

40105212000 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 40105212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75448848384).

40105212000 is an abundant number, since it is smaller than the sum of its proper divisors (110792484768).

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

40105212000 is a wasteful number, since it uses less digits than its factorization.

40105212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 40105212000 its reverse (21250104), we get a palindrome (40126462104).

The spelling of 40105212000 in words is "forty billion, one hundred five million, two hundred twelve thousand".