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146415141513 = 3343260948337
BaseRepresentation
bin1000100001011100000…
…1011100001010001001
3111222220220220211112000
42020113001130022021
54344324234012023
6151132344341213
713402206111534
oct2102701341211
9458826824460
10146415141513
1157104591993
1224462174809
1310a64971214
14712d623a1b
153c1e00e243
hex221705c289

146415141513 has 32 divisors (see below), whose sum is σ = 222045436800. Its totient is φ = 95301577728.

The previous prime is 146415141377. The next prime is 146415141559. The reversal of 146415141513 is 315141514641.

146415141513 is a `hidden beast` number, since 1 + 4 + 641 + 5 + 1 + 4 + 1 + 5 + 1 + 3 = 666.

It is not a de Polignac number, because 146415141513 - 210 = 146415140489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146415141013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3004881 + ... + 3053217.

It is an arithmetic number, because the mean of its divisors is an integer number (6938919900).

Almost surely, 2146415141513 is an apocalyptic number.

It is an amenable number.

146415141513 is a deficient number, since it is larger than the sum of its proper divisors (75630295287).

146415141513 is a wasteful number, since it uses less digits than its factorization.

146415141513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50998 (or 50992 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 146415141513 in words is "one hundred forty-six billion, four hundred fifteen million, one hundred forty-one thousand, five hundred thirteen".

Divisors: 1 3 9 27 43 129 387 1161 2609 7827 23481 48337 70443 112187 145011 336561 435033 1009683 1305099 2078491 3029049 6235473 18706419 56119257 126111233 378333699 1135001097 3405003291 5422783019 16268349057 48805047171 146415141513