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412231310320 = 24513921671597
BaseRepresentation
bin1011111111110101110…
…01101001101111110000
31110102001002221022110011
411333322321221233300
523223222203412240
6513213151344304
741532322215604
oct5777271515760
91412032838404
10412231310320
1114990a911925
1267a87522094
132cb476a067b
1415d487d3504
15aaca60a6ea
hex5ffae69bf0

412231310320 has 120 divisors (see below), whose sum is σ = 971771490144. Its totient is φ = 162624075264.

The previous prime is 412231310317. The next prime is 412231310339. The reversal of 412231310320 is 23013132214.

It is a junction number, because it is equal to n+sod(n) for n = 412231310291 and 412231310300.

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, 258127762 + ... + 258129358.

Almost surely, 2412231310320 is an apocalyptic number.

412231310320 is a gapful number since it is divisible by the number (40) 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 412231310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485885745072).

412231310320 is an abundant number, since it is smaller than the sum of its proper divisors (559540179824).

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

412231310320 is a wasteful number, since it uses less digits than its factorization.

412231310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 412231310320 its reverse (23013132214), we get a palindrome (435244442534).

The spelling of 412231310320 in words is "four hundred twelve billion, two hundred thirty-one million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 167 278 334 556 668 695 835 1112 1336 1390 1597 1670 2224 2672 2780 3194 3340 5560 6388 6680 7985 11120 12776 13360 15970 19321 23213 25552 31940 38642 46426 63880 77284 92852 96605 116065 127760 154568 185704 193210 221983 232130 266699 309136 371408 386420 443966 464260 533398 772840 887932 928520 1066796 1109915 1333495 1545680 1775864 1857040 2133592 2219830 2666990 3226607 3551728 4267184 4439660 5333980 6453214 8879320 10667960 12906428 16133035 17758640 21335920 25812856 30855637 32266070 37071161 51625712 61711274 64532140 74142322 123422548 129064280 148284644 154278185 185355805 246845096 258128560 296569288 308556370 370711610 493690192 593138576 617112740 741423220 1234225480 1482846440 2468450960 2965692880 5152891379 10305782758 20611565516 25764456895 41223131032 51528913790 82446262064 103057827580 206115655160 412231310320