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412230323440 = 24513798276067
BaseRepresentation
bin1011111111110101101…
…01111000110011110000
31110102001001002011201001
411333322311320303300
523223221430322230
6513213114251344
741532310635445
oct5777265706360
91412031064631
10412230323440
1114990a2a8421
1267a87126b54
132cb47416410
1415d486179cc
15aaca4b30ca
hex5ffad78cf0

412230323440 has 160 divisors (see below), whose sum is σ = 1046663009280. Its totient is φ = 150074975232.

The previous prime is 412230323389. The next prime is 412230323471. The reversal of 412230323440 is 44323032214.

It is a junction number, because it is equal to n+sod(n) for n = 412230323399 and 412230323408.

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, 67943287 + ... + 67949353.

It is an arithmetic number, because the mean of its divisors is an integer number (6541643808).

Almost surely, 2412230323440 is an apocalyptic number.

412230323440 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 412230323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523331504640).

412230323440 is an abundant number, since it is smaller than the sum of its proper divisors (634432685840).

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

412230323440 is a wasteful number, since it uses less digits than its factorization.

412230323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 412230323440 its reverse (44323032214), we get a palindrome (456553355654).

The spelling of 412230323440 in words is "four hundred twelve billion, two hundred thirty million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 79 80 104 130 158 208 260 316 395 520 632 790 827 1027 1040 1264 1580 1654 2054 3160 3308 4108 4135 5135 6067 6320 6616 8216 8270 10270 10751 12134 13232 16432 16540 20540 21502 24268 30335 33080 41080 43004 48536 53755 60670 65333 66160 78871 82160 86008 97072 107510 121340 130666 157742 172016 215020 242680 261332 315484 326665 394355 430040 479293 485360 522664 630968 653330 788710 849329 860080 958586 1045328 1261936 1306660 1577420 1698658 1917172 2396465 2613320 3154840 3397316 3834344 4246645 4792930 5017409 5226640 6230809 6309680 6794632 7668688 8493290 9585860 10034818 12461618 13589264 16986580 19171720 20069636 24923236 25087045 31154045 33973160 38343440 40139272 49846472 50174090 62308090 65226317 67946320 80278544 99692944 100348180 124616180 130452634 200696360 249232360 260905268 326131585 396375311 401392720 498464720 521810536 652263170 792750622 1043621072 1304526340 1585501244 1981876555 2609052680 3171002488 3963753110 5152879043 5218105360 6342004976 7927506220 10305758086 15855012440 20611516172 25764395215 31710024880 41223032344 51528790430 82446064688 103057580860 206115161720 412230323440