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146034233145 = 32540111716911
BaseRepresentation
bin1000100000000001010…
…0011000111100111001
3111221221101011200110200
42020000110120330321
54343034230430040
6151030500232413
713356602333523
oct2100024307471
9457841150420
10146034233145
1156a29576889
122437669b709
1310a03a85758
1470d4bcca13
153bea86c630
hex2200518f39

146034233145 has 48 divisors (see below), whose sum is σ = 254010691584. Its totient is φ = 77613120000.

The previous prime is 146034233143. The next prime is 146034233231. The reversal of 146034233145 is 541332430641.

146034233145 is a `hidden beast` number, since 1 + 4 + 603 + 4 + 2 + 3 + 3 + 1 + 45 = 666.

It is not a de Polignac number, because 146034233145 - 21 = 146034233143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146034233141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21127240 + ... + 21134150.

It is an arithmetic number, because the mean of its divisors is an integer number (5291889408).

Almost surely, 2146034233145 is an apocalyptic number.

146034233145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146034233145 is a deficient number, since it is larger than the sum of its proper divisors (107976458439).

146034233145 is a wasteful number, since it uses less digits than its factorization.

146034233145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8494 (or 8491 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 146034233145 its reverse (541332430641), we get a palindrome (687366663786).

The spelling of 146034233145 in words is "one hundred forty-six billion, thirty-four million, two hundred thirty-three thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 401 1171 1203 2005 3513 3609 5855 6015 6911 10539 17565 18045 20733 34555 52695 62199 103665 310995 469571 1408713 2347855 2771311 4226139 7043565 8092781 8313933 13856555 21130695 24278343 24941799 40463905 41569665 72835029 121391715 124708995 364175145 3245205181 9735615543 16226025905 29206846629 48678077715 146034233145