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3032141302432 = 251133740163743
BaseRepresentation
bin101100000111111001101…
…101001000101010100000
3101201212111010210121112201
4230013321231020222200
5344134311133134212
610240540235102544
7432031200551134
oct54077155105240
911655433717481
103032141302432
11a69a18798a40
1240b795ba1a54
1318cc11714458
14a6a8389d3c4
1553d16342b57
hex2c1f9b48aa0

3032141302432 has 96 divisors (see below), whose sum is σ = 6547927486464. Its totient is φ = 1370707968000.

The previous prime is 3032141302391. The next prime is 3032141302481. The reversal of 3032141302432 is 2342031412303.

It is a happy number.

It is a super-2 number, since 2×30321413024322 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3032141302432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47536353 + ... + 47600095.

It is an arithmetic number, because the mean of its divisors is an integer number (68207577984).

Almost surely, 23032141302432 is an apocalyptic number.

3032141302432 is a gapful number since it is divisible by the number (32) 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 3032141302432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273963743232).

3032141302432 is an abundant number, since it is smaller than the sum of its proper divisors (3515786184032).

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

3032141302432 is a wasteful number, since it uses less digits than its factorization.

3032141302432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64502 (or 64494 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 3032141302432 its reverse (2342031412303), we get a palindrome (5374172714735).

The spelling of 3032141302432 in words is "three trillion, thirty-two billion, one hundred forty-one million, three hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 337 352 401 674 802 1348 1604 2696 3208 3707 4411 5392 6416 7414 8822 10784 12832 14828 17644 29656 35288 59312 63743 70576 118624 127486 135137 141152 254972 270274 509944 540548 701173 1019888 1081096 1402346 1486507 2039776 2162192 2804692 2973014 4324384 5609384 5946028 11218768 11892056 21481391 22437536 23784112 25560943 42962782 47568224 51121886 85925564 102243772 171851128 204487544 236295301 281170373 343702256 408975088 472590602 562340746 687404512 817950176 945181204 1124681492 1890362408 2249362984 3780724816 4498725968 7561449632 8614037791 8997451936 17228075582 34456151164 68912302328 94754415701 137824604656 189508831402 275649209312 379017662804 758035325608 1516070651216 3032141302432