Search a number
-
+
145414542 = 237132291163
BaseRepresentation
bin10001010101011…
…01100110001110
3101010121211020210
420222231212032
5244211231132
622232423250
73414001050
oct1052554616
9333554223
10145414542
11750a0109
1240847b26
1324184a10
14154538d0
15cb75bcc
hex8aad98e

145414542 has 64 divisors (see below), whose sum is σ = 359815680. Its totient is φ = 38150784.

The previous prime is 145414537. The next prime is 145414553. The reversal of 145414542 is 245414541.

145414542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1454145422 = 42290778050139528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124453 + ... + 125615.

It is an arithmetic number, because the mean of its divisors is an integer number (5622120).

Almost surely, 2145414542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145414542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179907840).

145414542 is an abundant number, since it is smaller than the sum of its proper divisors (214401138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145414542 is a wasteful number, since it uses less digits than its factorization.

145414542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417.

The product of its digits is 12800, while the sum is 30.

The square root of 145414542 is about 12058.7952134531. The cubic root of 145414542 is about 525.8589621238.

Subtracting 145414542 from its reverse (245414541), we obtain a palindrome (99999999).

The spelling of 145414542 in words is "one hundred forty-five million, four hundred fourteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 229 273 458 546 687 1163 1374 1603 2326 2977 3206 3489 4809 5954 6978 8141 8931 9618 15119 16282 17862 20839 24423 30238 41678 45357 48846 62517 90714 105833 125034 211666 266327 317499 532654 634998 798981 1597962 1864289 3462251 3728578 5592867 6924502 10386753 11185734 20773506 24235757 48471514 72707271 145414542