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145456654541 = 1121174384347
BaseRepresentation
bin1000011101110111100…
…1000110100011001101
3111220110010100122120112
42013131321012203031
54340343400421131
6150453304525405
713336360110062
oct2073571064315
9456403318515
10145456654541
11567625424a0
1224235180865
131094120a473
14707c200c69
153bb4ccd02b
hex21dde468cd

145456654541 has 16 divisors (see below), whose sum is σ = 159648496128. Its totient is φ = 131427937200.

The previous prime is 145456654529. The next prime is 145456654547.

145456654541 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 145456654541 - 226 = 145389545677 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 145456654541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145456654547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1682330 + ... + 1766676.

It is an arithmetic number, because the mean of its divisors is an integer number (9978031008).

Almost surely, 2145456654541 is an apocalyptic number.

145456654541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145456654541 is a deficient number, since it is larger than the sum of its proper divisors (14191841587).

145456654541 is a wasteful number, since it uses less digits than its factorization.

145456654541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85312.

The product of its digits is 5760000, while the sum is 50.

It can be divided in two parts, 145456 and 654541, that added together give a palindrome (799997).

The spelling of 145456654541 in words is "one hundred forty-five billion, four hundred fifty-six million, six hundred fifty-four thousand, five hundred forty-one".

Divisors: 1 11 211 743 2321 8173 84347 156773 927817 1724503 17797217 62669821 195769387 689368031 13223332231 145456654541