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40214031040 = 265521241207
BaseRepresentation
bin100101011100111100…
…010110101011000000
310211210120210102220001
4211130330112223000
51124324242443130
630250222125344
72622353424001
oct453474265300
9124716712801
1040214031040
11160668547a7
127963720854
133a3b510151
141d36ba31a8
1510a56b36ca
hex95cf16ac0

40214031040 has 56 divisors (see below), whose sum is σ = 95943858912. Its totient is φ = 16054671360.

The previous prime is 40214031019. The next prime is 40214031047. The reversal of 40214031040 is 4013041204.

It is a junction number, because it is equal to n+sod(n) for n = 40214030999 and 40214031017.

It is not an unprimeable number, because it can be changed into a prime (40214031047) 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 7 ways as a sum of consecutive naturals, for example, 46117 + ... + 287323.

Almost surely, 240214031040 is an apocalyptic number.

40214031040 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 40214031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47971929456).

40214031040 is an abundant number, since it is smaller than the sum of its proper divisors (55729827872).

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

40214031040 is a wasteful number, since it uses less digits than its factorization.

40214031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241745 (or 241735 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 40214031040 its reverse (4013041204), we get a palindrome (44227072244).

The spelling of 40214031040 in words is "forty billion, two hundred fourteen million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 521 1042 2084 2605 4168 5210 8336 10420 16672 20840 33344 41680 83360 166720 241207 482414 964828 1206035 1929656 2412070 3859312 4824140 7718624 9648280 15437248 19296560 38593120 77186240 125668847 251337694 502675388 628344235 1005350776 1256688470 2010701552 2513376940 4021403104 5026753880 8042806208 10053507760 20107015520 40214031040