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40220000400 = 2435233516667
BaseRepresentation
bin100101011101010011…
…001000000010010000
310211211000000201022110
4211131103020002100
51124332310003100
630250554105320
72622455235246
oct453523100220
9124730021273
1040220000400
111606a161658
12796571b240
133a3c820208
141d378b8796
1510a5e92250
hex95d4c8090

40220000400 has 60 divisors (see below), whose sum is σ = 128838071792. Its totient is φ = 10725333120.

The previous prime is 40220000393. The next prime is 40220000537. The reversal of 40220000400 is 400002204.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 11 ways as a sum of consecutive naturals, for example, 16757134 + ... + 16759533.

Almost surely, 240220000400 is an apocalyptic number.

40220000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40220000400 is an abundant number, since it is smaller than the sum of its proper divisors (88618071392).

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

40220000400 is a wasteful number, since it uses less digits than its factorization.

40220000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33516688 (or 33516677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 40220000400 its reverse (400002204), we get a palindrome (40620002604).

The spelling of 40220000400 in words is "forty billion, two hundred twenty million, four hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 33516667 67033334 100550001 134066668 167583335 201100002 268133336 335166670 402200004 502750005 536266672 670333340 804400008 837916675 1005500010 1340666680 1608800016 1675833350 2011000020 2513750025 2681333360 3351666700 4022000040 5027500050 6703333400 8044000080 10055000100 13406666800 20110000200 40220000400