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145753357541 = 1131991431311
BaseRepresentation
bin1000011110111110010…
…0111011110011100101
3111221012210122201120112
42013233210323303211
54342000324420131
6150542544142405
713346622045311
oct2075744736345
9457183581515
10145753357541
11568a4a74890
12242b8607a05
131098a82267c
1470a9796b41
153bd0d8a02b
hex21ef93bce5

145753357541 has 16 divisors (see below), whose sum is σ = 164298817536. Its totient is φ = 128099070000.

The previous prime is 145753357531. The next prime is 145753357543.

145753357541 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-145753357541 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 145753357541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145753357543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122276 + ... + 553586.

It is an arithmetic number, because the mean of its divisors is an integer number (10268676096).

Almost surely, 2145753357541 is an apocalyptic number.

145753357541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145753357541 is a deficient number, since it is larger than the sum of its proper divisors (18545459995).

145753357541 is a wasteful number, since it uses less digits than its factorization.

145753357541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432344.

The product of its digits is 4410000, while the sum is 50.

The spelling of 145753357541 in words is "one hundred forty-five billion, seven hundred fifty-three million, three hundred fifty-seven thousand, five hundred forty-one".

Divisors: 1 11 31 341 991 10901 30721 337931 431311 4744421 13370641 147077051 427429201 4701721211 13250305231 145753357541