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145233544005 = 325118328312491
BaseRepresentation
bin1000011101000010011…
…0000000001101000101
3111212212120112110110100
42013100212000031011
54334414241402010
6150415214514313
713331010520044
oct2072046001505
9455776473410
10145233544005
1156658605220
1224192505999
1310906c20cb4
14705a72455b
153ba040b2c0
hex21d0980345

145233544005 has 96 divisors (see below), whose sum is σ = 278936566272. Its totient is φ = 69316502400.

The previous prime is 145233543979. The next prime is 145233544009. The reversal of 145233544005 is 500445332541.

145233544005 is a `hidden beast` number, since 14 + 5 + 233 + 5 + 4 + 400 + 5 = 666.

It is not a de Polignac number, because 145233544005 - 27 = 145233543877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145233544009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11620810 + ... + 11633300.

It is an arithmetic number, because the mean of its divisors is an integer number (2905589232).

Almost surely, 2145233544005 is an apocalyptic number.

145233544005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145233544005 is a deficient number, since it is larger than the sum of its proper divisors (133703022267).

145233544005 is a wasteful number, since it uses less digits than its factorization.

145233544005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12879 (or 12876 counting only the distinct ones).

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

Adding to 145233544005 its reverse (500445332541), we get a palindrome (645678876546).

The spelling of 145233544005 in words is "one hundred forty-five billion, two hundred thirty-three million, five hundred forty-four thousand, five".

Divisors: 1 3 5 9 11 15 33 45 55 83 99 165 249 283 415 495 747 849 913 1245 1415 2547 2739 3113 3735 4245 4565 8217 9339 12491 12735 13695 15565 23489 28017 37473 41085 46695 62455 70467 112419 117445 137401 140085 187365 211401 258379 352335 412203 562095 687005 775137 1036753 1057005 1236609 1291895 2061015 2325411 3110259 3534953 3875685 5183765 6183045 9330777 10604859 11404283 11627055 15551295 17674765 31814577 34212849 38884483 46653885 53024295 57021415 102638547 116653449 159072885 171064245 194422415 293401099 349960347 513192735 583267245 880203297 1467005495 1749801735 2640609891 3227412089 4401016485 9682236267 13203049455 16137060445 29046708801 48411181335 145233544005