Search a number
-
+
146612631033045 = 3259673369243503
BaseRepresentation
bin100001010101011111101001…
…110010101101010011010101
3201020010000211100011002221100
4201111133221302231103111
5123204100132021024140
61235452525103140313
742611261446461432
oct4125375162552325
9636100740132840
10146612631033045
1142796082042281
121453a6155a4699
1363a6686505338
14282c136ac2b89
1511e3ae7160530
hex8557e9cad4d5

146612631033045 has 24 divisors (see below), whose sum is σ = 254391361526016. Its totient is φ = 78112541350368.

The previous prime is 146612631033041. The next prime is 146612631033049. The reversal of 146612631033045 is 540330136216641.

146612631033045 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 1 + 2 + 631 + 0 + 3 + 3 + 0 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (146612631033041) and next prime (146612631033049).

It is not a de Polignac number, because 146612631033045 - 22 = 146612631033041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146612631033041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1684578237 + ... + 1684665266.

It is an arithmetic number, because the mean of its divisors is an integer number (10599640063584).

Almost surely, 2146612631033045 is an apocalyptic number.

146612631033045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146612631033045 is a deficient number, since it is larger than the sum of its proper divisors (107778730492971).

146612631033045 is a wasteful number, since it uses less digits than its factorization.

146612631033045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369244481 (or 3369244478 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

Adding to 146612631033045 its reverse (540330136216641), we get a palindrome (686942767249686).

The spelling of 146612631033045 in words is "one hundred forty-six trillion, six hundred twelve billion, six hundred thirty-one million, thirty-three thousand, forty-five".

Divisors: 1 3 5 9 15 45 967 2901 4835 8703 14505 43515 3369243503 10107730509 16846217515 30323191527 50538652545 151615957635 3258058467401 9774175402203 16290292337005 29322526206609 48870877011015 146612631033045