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145124045400405 = 3517260155702643
BaseRepresentation
bin100000111111110101010011…
…001011001010100101010101
3201000211201112020122220121110
4200333311103023022211111
5123010203021110303110
61232353022135005233
742365603063410011
oct4077652313124525
9630751466586543
10145124045400405
1142271842286045
121433a019209819
1362c91a5b18376
1427ba08138b541
1511ba021e05a20
hex83fd532ca955

145124045400405 has 48 divisors (see below), whose sum is σ = 247071082757184. Its totient is φ = 72725369395200.

The previous prime is 145124045400319. The next prime is 145124045400419. The reversal of 145124045400405 is 504004540421541.

It is a de Polignac number, because none of the positive numbers 2k-145124045400405 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25245987 + ... + 30456656.

It is an arithmetic number, because the mean of its divisors is an integer number (5147314224108).

Almost surely, 2145124045400405 is an apocalyptic number.

145124045400405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145124045400405 is a deficient number, since it is larger than the sum of its proper divisors (101947037356779).

145124045400405 is a wasteful number, since it uses less digits than its factorization.

145124045400405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55703286 (or 55703269 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 39.

Adding to 145124045400405 its reverse (504004540421541), we get a palindrome (649128585821946).

The spelling of 145124045400405 in words is "one hundred forty-five trillion, one hundred twenty-four billion, forty-five million, four hundred thousand, four hundred five".

Divisors: 1 3 5 15 17 51 85 255 289 601 867 1445 1803 3005 4335 9015 10217 30651 51085 153255 173689 521067 868445 2605335 55702643 167107929 278513215 835539645 946944931 2840834793 4734724655 14204173965 16098063827 33477288443 48294191481 80490319135 100431865329 167386442215 241470957405 502159326645 569113903531 1707341710593 2845569517655 8536708552965 9674936360027 29024809080081 48374681800135 145124045400405