Search a number
-
+
145111419 = 34472811
BaseRepresentation
bin10001010011000…
…11100101111011
3101010001102110000
420221203211323
5244122031134
622222124043
73411266235
oct1051434573
9333042400
10145111419
1174a033a2
1240720623
13240a9a5b
14153b5255
15cb15e99
hex8a6397b

145111419 has 30 divisors (see below), whose sum is σ = 221754764. Its totient is φ = 94565880.

The previous prime is 145111411. The next prime is 145111441. The reversal of 145111419 is 914111541.

145111419 is a `hidden beast` number, since 1 + 4 + 511 + 141 + 9 = 666.

It is not a de Polignac number, because 145111419 - 23 = 145111411 is a prime.

It is a super-2 number, since 2×1451114192 = 42114647848387122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145111392 and 145111401.

It is not an unprimeable number, because it can be changed into a prime (145111411) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 178524 + ... + 179334.

Almost surely, 2145111419 is an apocalyptic number.

145111419 is a deficient number, since it is larger than the sum of its proper divisors (76643345).

145111419 is an frugal number, since it uses more digits than its factorization.

145111419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 861 counting only the distinct ones).

The product of its digits is 720, while the sum is 27.

The square root of 145111419 is about 12046.2201125498. The cubic root of 145111419 is about 525.4933159027.

It can be divided in two parts, 145111 and 419, that added together give a triangular number (145530 = T539).

The spelling of 145111419 in words is "one hundred forty-five million, one hundred eleven thousand, four hundred nineteen".

Divisors: 1 3 9 27 47 81 141 423 811 1269 2209 2433 3807 6627 7299 19881 21897 38117 59643 65691 114351 178929 343053 1029159 1791499 3087477 5374497 16123491 48370473 145111419