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323215330140 = 22325107166710067
BaseRepresentation
bin1001011010000010010…
…00101000101101011100
31010220021102122222202100
410231001020220231130
520243421111031030
6404252202125100
732231401655523
oct4550110505534
91126242588670
10323215330140
1111509069a45a
12527841b0790
132462c6b1a51
14119024834ba
15861a855360
hex4b41228b5c

323215330140 has 144 divisors (see below), whose sum is σ = 990274626432. Its totient is φ = 85325536128.

The previous prime is 323215330133. The next prime is 323215330169. The reversal of 323215330140 is 41033512323.

323215330140 is a `hidden beast` number, since 3 + 2 + 321 + 5 + 330 + 1 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32101387 + ... + 32111453.

It is an arithmetic number, because the mean of its divisors is an integer number (6876907128).

Almost surely, 2323215330140 is an apocalyptic number.

323215330140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323215330140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495137313216).

323215330140 is an abundant number, since it is smaller than the sum of its proper divisors (667059296292).

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

323215330140 is a wasteful number, since it uses less digits than its factorization.

323215330140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11856 (or 11851 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 323215330140 its reverse (41033512323), we get a palindrome (364248842463).

The spelling of 323215330140 in words is "three hundred twenty-three billion, two hundred fifteen million, three hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1667 1926 2140 3210 3334 3852 4815 5001 6420 6668 8335 9630 10002 10067 15003 16670 19260 20004 20134 25005 30006 30201 33340 40268 50010 50335 60012 60402 75015 90603 100020 100670 120804 150030 151005 178369 181206 201340 300060 302010 356738 362412 453015 535107 604020 713476 891845 906030 1070214 1077169 1605321 1783690 1812060 2140428 2154338 2675535 3210642 3231507 3567380 4308676 5351070 5385845 6421284 6463014 8026605 9694521 10702140 10771690 12926028 16053210 16157535 16781689 19389042 21543380 32106420 32315070 33563378 38778084 48472605 50345067 64630140 67126756 83908445 96945210 100690134 151035201 167816890 193890420 201380268 251725335 302070402 335633780 503450670 604140804 755176005 1006901340 1510352010 1795640723 3020704020 3591281446 5386922169 7182562892 8978203615 10773844338 16160766507 17956407230 21547688676 26934610845 32321533014 35912814460 53869221690 64643066028 80803832535 107738443380 161607665070 323215330140