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13422992940 = 223257171973181
BaseRepresentation
bin11001000000001001…
…01001111000101100
31021122110201200200200
430200010221320230
5204442241233230
610055541153500
7653430362130
oct144004517054
937573650620
1013422992940
115768a252a5
1227273bb890
13135bc03a96
149149d73c0
15538658160
hex320129e2c

13422992940 has 288 divisors, whose sum is σ = 49535950464. Its totient is φ = 2872074240.

The previous prime is 13422992917. The next prime is 13422992951. The reversal of 13422992940 is 4929922431.

13422992940 is a `hidden beast` number, since 134 + 229 + 9 + 294 + 0 = 666.

It is a super-3 number, since 3×134229929403 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 4218150 + ... + 4221330.

It is an arithmetic number, because the mean of its divisors is an integer number (171999828).

Almost surely, 213422992940 is an apocalyptic number.

13422992940 is a gapful number since it is divisible by the number (10) 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 13422992940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24767975232).

13422992940 is an abundant number, since it is smaller than the sum of its proper divisors (36112957524).

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

13422992940 is a wasteful number, since it uses less digits than its factorization.

13422992940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13422992940 in words is "thirteen billion, four hundred twenty-two million, nine hundred ninety-two thousand, nine hundred forty".