Search a number
-
+
42435251325 = 33523115712917
BaseRepresentation
bin100111100001010101…
…101000110001111101
311001112101102010022000
4213201111220301331
51143401411020300
631254450412513
73031404453615
oct474125506175
9131471363260
1042435251325
1116aa6658445
128283591139
13400376148c
1420a7ba5a45
1511856c2c00
hex9e1568c7d

42435251325 has 96 divisors (see below), whose sum is σ = 80988625920. Its totient is φ = 21760876800.

The previous prime is 42435251239. The next prime is 42435251329. The reversal of 42435251325 is 52315253424.

42435251325 is a `hidden beast` number, since 42 + 43 + 5 + 251 + 325 = 666.

It is not a de Polignac number, because 42435251325 - 29 = 42435250813 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42435251325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42435251329) 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 95 ways as a sum of consecutive naturals, for example, 3278767 + ... + 3291683.

It is an arithmetic number, because the mean of its divisors is an integer number (843631520).

Almost surely, 242435251325 is an apocalyptic number.

42435251325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42435251325 is a deficient number, since it is larger than the sum of its proper divisors (38553374595).

42435251325 is a wasteful number, since it uses less digits than its factorization.

42435251325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13124 (or 13113 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The spelling of 42435251325 in words is "forty-two billion, four hundred thirty-five million, two hundred fifty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 31 45 75 93 135 155 157 225 279 465 471 675 775 785 837 1395 1413 2325 2355 3925 4185 4239 4867 6975 7065 11775 12917 14601 20925 21195 24335 35325 38751 43803 64585 73005 105975 116253 121675 131409 193755 219015 322925 348759 365025 400427 581265 657045 968775 1095075 1201281 1743795 2002135 2027969 2906325 3285225 3603843 6006405 6083907 8718975 10010675 10139845 10811529 18019215 18251721 30032025 30419535 50699225 54057645 54755163 62867039 90096075 91258605 152097675 188601117 270288225 273775815 314335195 456293025 565803351 943005585 1368879075 1571675975 1697410053 2829016755 4715027925 8487050265 14145083775 42435251325