Search a number
-
+
41035454145 = 345714474587
BaseRepresentation
bin100110001101111001…
…110101011011000001
310220220211110001120000
4212031321311123001
51133020034013040
630503524110213
72651616414360
oct461571653301
9126824401500
1041035454145
1116448498074
127b52835369
133b3c75411a
141db3d077d7
15110286d130
hex98de756c1

41035454145 has 40 divisors (see below), whose sum is σ = 84068407104. Its totient is φ = 18759063456.

The previous prime is 41035454123. The next prime is 41035454147. The reversal of 41035454145 is 54145453014.

41035454145 is a `hidden beast` number, since 4 + 103 + 5 + 4 + 541 + 4 + 5 = 666.

It is not a de Polignac number, because 41035454145 - 26 = 41035454081 is a prime.

It is a super-4 number, since 4×410354541454 (a number of 44 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (41035454147) 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 39 ways as a sum of consecutive naturals, for example, 7234459 + ... + 7240128.

Almost surely, 241035454145 is an apocalyptic number.

41035454145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41035454145 is an abundant number, since it is smaller than the sum of its proper divisors (43032952959).

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

41035454145 is a wasteful number, since it uses less digits than its factorization.

41035454145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14474611 (or 14474602 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 41035454145 in words is "forty-one billion, thirty-five million, four hundred fifty-four thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 14474587 43423761 72372935 101322109 130271283 217118805 303966327 390813849 506610545 651356415 911898981 1172441547 1519831635 1954069245 2735696943 4559494905 5862207735 8207090829 13678484715 41035454145