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3213424154352 = 24317229132712959
BaseRepresentation
bin101110110000101111000…
…000010101011011110000
3102101012102001110122210110
4232300233000111123300
5410122043040414402
610500120543501320
7451106434431246
oct56605700253360
912335361418713
103213424154352
111029895185815
1243a9492b7840
131a404206b679
14b175dbd4796
15588c64a056c
hex2ec2f0156f0

3213424154352 has 160 divisors (see below), whose sum is σ = 8835377356800. Its totient is φ = 1002896953344.

The previous prime is 3213424154329. The next prime is 3213424154389. The reversal of 3213424154352 is 2534514243123.

It is a happy number.

It is a super-3 number, since 3×32134241543523 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3213424154352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247962049 + ... + 247975007.

It is an arithmetic number, because the mean of its divisors is an integer number (55221108480).

Almost surely, 23213424154352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213424154352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4417688678400).

3213424154352 is an abundant number, since it is smaller than the sum of its proper divisors (5621953202448).

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

3213424154352 is a wasteful number, since it uses less digits than its factorization.

3213424154352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14543 (or 14537 counting only the distinct ones).

The product of its digits is 345600, while the sum is 39.

Adding to 3213424154352 its reverse (2534514243123), we get a palindrome (5747938397475).

The spelling of 3213424154352 in words is "three trillion, two hundred thirteen billion, four hundred twenty-four million, one hundred fifty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 229 272 408 458 687 816 916 1327 1374 1832 2654 2748 3664 3893 3981 5308 5496 7786 7962 10616 10992 11679 12959 15572 15924 21232 22559 23358 25918 31144 31848 38877 45118 46716 51836 62288 63696 67677 77754 90236 93432 103672 135354 155508 180472 186864 207344 220303 270708 303883 311016 360944 440606 541416 607766 622032 660909 881212 911649 1082832 1215532 1321818 1762424 1823298 2431064 2643636 2967611 3524848 3646596 4862128 5166011 5287272 5935222 7293192 8902833 10332022 10574544 11870444 14586384 15498033 17196593 17805666 20664044 23740888 30996066 34393186 35611332 41328088 47481776 50449387 51589779 61992132 68786372 71222664 82656176 100898774 103179558 123984264 137572744 142445328 151348161 201797548 206359116 247968528 275145488 292342081 302696322 403595096 412718232 584684162 605392644 807190192 825436464 877026243 1169368324 1210785288 1754052486 2338736648 2421570576 3508104972 3938019797 4677473296 7016209944 7876039594 11814059391 14032419888 15752079188 23628118782 31504158376 47256237564 63008316752 66946336549 94512475128 133892673098 189024950256 200839009647 267785346196 401678019294 535570692392 803356038588 1071141384784 1606712077176 3213424154352