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40213010000 = 24544021301
BaseRepresentation
bin100101011100111000…
…011101011001010000
310211210111212120021202
4211130320131121100
51124324012310000
630250144210332
72622341642132
oct453470353120
9124714776252
1040213010000
1116066217669
1279633099a8
133a3b243497
141d369b9052
1510a5560dd5
hex95ce1d650

40213010000 has 50 divisors (see below), whose sum is σ = 97359742722. Its totient is φ = 16085200000.

The previous prime is 40213009999. The next prime is 40213010021. The reversal of 40213010000 is 1031204.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 19441282624 + 20771727376 = 139432^2 + 144124^2 .

It is a tau number, because it is divible by the number of its divisors (50).

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 9 ways as a sum of consecutive naturals, for example, 2000651 + ... + 2020650.

Almost surely, 240213010000 is an apocalyptic number.

40213010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40213010000 is an abundant number, since it is smaller than the sum of its proper divisors (57146732722).

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

40213010000 is an equidigital number, since it uses as much as digits as its factorization.

40213010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021329 (or 4021308 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 40213010000 its reverse (1031204), we get a palindrome (40214041204).

The spelling of 40213010000 in words is "forty billion, two hundred thirteen million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 4021301 8042602 16085204 20106505 32170408 40213010 64340816 80426020 100532525 160852040 201065050 321704080 402130100 502662625 804260200 1005325250 1608520400 2010650500 2513313125 4021301000 5026626250 8042602000 10053252500 20106505000 40213010000