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145363234041 = 33172101184447
BaseRepresentation
bin1000011101100001010…
…0101110110011111001
3111220012121120101202000
42013120110232303321
54340200441442131
6150440130331213
713334144050104
oct2073024566371
9456177511660
10145363234041
1156714835273
1224209a29b09
1310927a5b66c
14706da4373b
153bab9c7ce6
hex21d852ecf9

145363234041 has 48 divisors (see below), whose sum is σ = 231032186880. Its totient is φ = 90304761600.

The previous prime is 145363234033. The next prime is 145363234043. The reversal of 145363234041 is 140432363541.

145363234041 is a `hidden beast` number, since 14 + 5 + 3 + 632 + 3 + 4 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 145363234041 - 23 = 145363234033 is a prime.

It is a super-3 number, since 3×1453632340413 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 145363233987 and 145363234005.

It is not an unprimeable number, because it can be changed into a prime (145363234043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 695880 + ... + 880326.

It is an arithmetic number, because the mean of its divisors is an integer number (4813170560).

Almost surely, 2145363234041 is an apocalyptic number.

It is an amenable number.

145363234041 is a deficient number, since it is larger than the sum of its proper divisors (85668952839).

145363234041 is a wasteful number, since it uses less digits than its factorization.

145363234041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184591 (or 184568 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 145363234041 its reverse (140432363541), we get a palindrome (285795597582).

The spelling of 145363234041 in words is "one hundred forty-five billion, three hundred sixty-three million, two hundred thirty-four thousand, forty-one".

Divisors: 1 3 9 17 27 51 101 153 289 303 459 867 909 1717 2601 2727 5151 7803 15453 29189 46359 87567 184447 262701 553341 788103 1660023 3135599 4980069 9406797 18629147 28220391 53305183 55887441 84661173 159915549 167662323 316695499 479746647 502986969 950086497 1439239941 2850259491 5383823483 8550778473 16151470449 48454411347 145363234041