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40223121104 = 2429349248389
BaseRepresentation
bin100101011101011111…
…000001111011010000
310211211012220021010002
4211131133001323100
51124334104333404
630251145025132
72622523613435
oct453537017320
9124735807102
1040223121104
11160709a3251
1279667851a8
133a4037379a
141d3808bb8c
1510a63abc1e
hex95d7c1ed0

40223121104 has 40 divisors (see below), whose sum is σ = 80850945000. Its totient is φ = 19362341376.

The previous prime is 40223121101. The next prime is 40223121131. The reversal of 40223121104 is 40112132204.

It can be written as a sum of positive squares in 4 ways, for example, as 20807485504 + 19415635600 = 144248^2 + 139340^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40223121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37742 + ... + 286130.

It is an arithmetic number, because the mean of its divisors is an integer number (2021273625).

Almost surely, 240223121104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40223121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40425472500).

40223121104 is an abundant number, since it is smaller than the sum of its proper divisors (40627823896).

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

40223121104 is a wasteful number, since it uses less digits than its factorization.

40223121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248775 (or 248769 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 40223121104 its reverse (40112132204), we get a palindrome (80335253308).

The spelling of 40223121104 in words is "forty billion, two hundred twenty-three million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 349 464 698 1396 2792 5584 10121 20242 40484 80968 161936 248389 496778 993556 1987112 3974224 7203281 14406562 28813124 57626248 86687761 115252496 173375522 346751044 693502088 1387004176 2513945069 5027890138 10055780276 20111560552 40223121104