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42132152335 = 57131913671321
BaseRepresentation
bin100111001111010001…
…011010000000001111
311000202021002002122111
4213033101122000033
51142241312333320
631204422124451
73021034246240
oct471721320017
9130667062574
1042132152335
1116960557709
1281b9b80727
133c85a19c70
142079826cc7
151168ca0a5a
hex9cf45a00f

42132152335 has 64 divisors (see below), whose sum is σ = 62769659904. Its totient is φ = 26436326400.

The previous prime is 42132152333. The next prime is 42132152347. The reversal of 42132152335 is 53325123124.

It is not a de Polignac number, because 42132152335 - 21 = 42132152333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42132152297 and 42132152306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42132152333) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 31893475 + ... + 31894795.

It is an arithmetic number, because the mean of its divisors is an integer number (980775936).

Almost surely, 242132152335 is an apocalyptic number.

42132152335 is a deficient number, since it is larger than the sum of its proper divisors (20637507569).

42132152335 is a wasteful number, since it uses less digits than its factorization.

42132152335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904.

The product of its digits is 21600, while the sum is 31.

Adding to 42132152335 its reverse (53325123124), we get a palindrome (95457275459).

The spelling of 42132152335 in words is "forty-two billion, one hundred thirty-two million, one hundred fifty-two thousand, three hundred thirty-five".

Divisors: 1 5 7 13 35 65 91 191 367 455 955 1321 1337 1835 2483 2569 4771 6605 6685 9247 12415 12845 17173 17381 23855 33397 46235 70097 85865 86905 120211 166985 252311 350485 484807 490679 601055 911261 1261555 1766177 2424035 2453395 3280043 3393649 4556305 6302491 6378827 8830885 16400215 16968245 22960301 31512455 31894135 44117437 92598137 114801505 220587185 462990685 648186959 1203775781 3240934795 6018878905 8426430467 42132152335