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42503302432 = 253147989449
BaseRepresentation
bin100111100101011001…
…001110110100100000
311001201010110110212101
4213211121032310200
51144021321134212
631305321140144
73033162052423
oct474531166440
9131633413771
1042503302432
1117031008228
1282a232a654
134014899bc6
1420b2c3b9ba
15118b666157
hex9e564ed20

42503302432 has 48 divisors (see below), whose sum is σ = 86558976000. Its totient is φ = 20522949120.

The previous prime is 42503302427. The next prime is 42503302453. The reversal of 42503302432 is 23420330524.

It is a super-2 number, since 2×425033024322 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42503302432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430444 + ... + 519892.

It is an arithmetic number, because the mean of its divisors is an integer number (1803312000).

Almost surely, 242503302432 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 42503302432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43279488000).

42503302432 is an abundant number, since it is smaller than the sum of its proper divisors (44055673568).

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

42503302432 is a wasteful number, since it uses less digits than its factorization.

42503302432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89969 (or 89961 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

Adding to 42503302432 its reverse (23420330524), we get a palindrome (65923632956).

The spelling of 42503302432 in words is "forty-two billion, five hundred three million, three hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 479 496 958 992 1916 3832 7664 14849 15328 29698 59396 89449 118792 178898 237584 357796 475168 715592 1431184 2772919 2862368 5545838 11091676 22183352 42846071 44366704 85692142 88733408 171384284 342768568 685537136 1328228201 1371074272 2656456402 5312912804 10625825608 21251651216 42503302432