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234042432440 = 235192111145879
BaseRepresentation
bin1101100111111000000…
…1000001101110111000
3211101002211010102200112
43121332001001232320
512313304330314230
6255303445323452
722623534565115
oct3317601015670
9741084112615
10234042432440
1190290940593
1239438406588
13190bb04171b
14b48336790c
15614be05d95
hex367e041bb8

234042432440 has 64 divisors (see below), whose sum is σ = 554577408000. Its totient is φ = 88647143040.

The previous prime is 234042432433. The next prime is 234042432443. The reversal of 234042432440 is 44234240432.

234042432440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 234042432397 and 234042432406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234042432443) 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 15 ways as a sum of consecutive naturals, for example, 1531421 + ... + 1677299.

It is an arithmetic number, because the mean of its divisors is an integer number (8665272000).

Almost surely, 2234042432440 is an apocalyptic number.

234042432440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234042432440 is an abundant number, since it is smaller than the sum of its proper divisors (320534975560).

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

234042432440 is a wasteful number, since it uses less digits than its factorization.

234042432440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148020 (or 148016 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 234042432440 its reverse (44234240432), we get a palindrome (278276672872).

The spelling of 234042432440 in words is "two hundred thirty-four billion, forty-two million, four hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 2111 4222 8444 10555 16888 21110 40109 42220 80218 84440 145879 160436 200545 291758 320872 401090 583516 729395 802180 1167032 1458790 1604360 2771701 2917580 5543402 5835160 11086804 13858505 22173608 27717010 55434020 110868040 307950569 615901138 1231802276 1539752845 2463604552 3079505690 5851060811 6159011380 11702121622 12318022760 23404243244 29255304055 46808486488 58510608110 117021216220 234042432440