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29934231040 = 295717971013
BaseRepresentation
bin11011111000001110…
…000001111000000000
32212021011112111022201
4123320032001320000
5442301130343130
621430202242544
72106540523420
oct337016017000
985234474281
1029934231040
111177110291a
125974ab6454
132a9087835c
14163d808480
15ba2e86bca
hex6f8381e00

29934231040 has 320 divisors, whose sum is σ = 87832128384. Its totient is φ = 9550430208.

The previous prime is 29934231031. The next prime is 29934231071. The reversal of 29934231040 is 4013243992.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29549574 + ... + 29550586.

Almost surely, 229934231040 is an apocalyptic number.

29934231040 is a gapful number since it is divisible by the number (20) 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 29934231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43916064192).

29934231040 is an abundant number, since it is smaller than the sum of its proper divisors (57897897344).

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

29934231040 is a wasteful number, since it uses less digits than its factorization.

29934231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 29934231040 in words is "twenty-nine billion, nine hundred thirty-four million, two hundred thirty-one thousand, forty".