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40224222242204 = 227111310046009551
BaseRepresentation
bin10010010010101011011100…
…11110100110010110011100
312021102101202012122002111112
421021111232132212112130
520233013201343222304
6221314430321041152
711321050503463460
oct1111255636462634
9167371665562445
1040224222242204
11118a8aa68a3360
1246178827861b8
13195a187c57120
149d0c115284a0
1549b4ce931b6e
hex24956e7a659c

40224222242204 has 48 divisors (see below), whose sum is σ = 94512857865216. Its totient is φ = 14466253752000.

The previous prime is 40224222242189. The next prime is 40224222242333.

40224222242204 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×402242222422043 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5023000772 + ... + 5023008779.

It is an arithmetic number, because the mean of its divisors is an integer number (1969017872192).

Almost surely, 240224222242204 is an apocalyptic number.

40224222242204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40224222242204 is an abundant number, since it is smaller than the sum of its proper divisors (54288635623012).

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

40224222242204 is a wasteful number, since it uses less digits than its factorization.

40224222242204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10046009586 (or 10046009584 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 4022422 and 2242204, that added together give a palindrome (6264626).

The spelling of 40224222242204 in words is "forty trillion, two hundred twenty-four billion, two hundred twenty-two million, two hundred forty-two thousand, two hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 10046009551 20092019102 40184038204 70322066857 110506105061 130598124163 140644133714 221012210122 261196248326 281288267428 442024420244 522392496652 773542735427 914186869141 1436579365793 1547085470854 1828373738282 2873158731586 3094170941708 3656747476564 5746317463172 10056055560551 20112111121102 40224222242204