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146240331030 = 23251818977307
BaseRepresentation
bin1000100000110010011…
…0100101110100010110
3111222110201222112121200
42020030212211310112
54344000011043110
6151103141453330
713364654206143
oct2101446456426
9458421875550
10146240331030
1157024944212
1224413711246
1310a37696471
14711431b3ca
153c0d9cd6c0
hex220c9a5d16

146240331030 has 48 divisors (see below), whose sum is σ = 382325593104. Its totient is φ = 38781961920.

The previous prime is 146240331019. The next prime is 146240331047. The reversal of 146240331030 is 30133042641.

146240331030 is a `hidden beast` number, since 1 + 4 + 624 + 0 + 3 + 3 + 1 + 0 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 146240330985 and 146240331003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4472364 + ... + 4504943.

It is an arithmetic number, because the mean of its divisors is an integer number (7965116523).

Almost surely, 2146240331030 is an apocalyptic number.

146240331030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146240331030 is an abundant number, since it is smaller than the sum of its proper divisors (236085262074).

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

146240331030 is a wasteful number, since it uses less digits than its factorization.

146240331030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8977501 (or 8977498 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 146240331030 its reverse (30133042641), we get a palindrome (176373373671).

The spelling of 146240331030 in words is "one hundred forty-six billion, two hundred forty million, three hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 1086 1629 1810 2715 3258 5430 8145 16290 8977307 17954614 26931921 44886535 53863842 80795763 89773070 134659605 161591526 269319210 403978815 807957630 1624892567 3249785134 4874677701 8124462835 9749355402 14624033103 16248925670 24373388505 29248066206 48746777010 73120165515 146240331030