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412411422243320 = 23547449701696961
BaseRepresentation
bin101110111000101100000010…
…0010100101111100111111000
32000002020010222002212200002222
41131301120010110233213320
5413023422043043241240
64021043105235343212
7152603512334214653
oct13561300424574770
92002203862780088
10412411422243320
1110a45277a349305
123a30811aa51b08
13149172cbb02116
1473bab683b089a
1532a2b7a5e0eb5
hex177160452f9f8

412411422243320 has 128 divisors (see below), whose sum is σ = 951135677856000. Its totient is φ = 160865058816000.

The previous prime is 412411422243283. The next prime is 412411422243349. The reversal of 412411422243320 is 23342224114214.

It is a super-2 number, since 2×4124114222433202 (a number of 30 digits) contains 22 as substring.

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, 591379640 + ... + 592076600.

It is an arithmetic number, because the mean of its divisors is an integer number (7430747483250).

Almost surely, 2412411422243320 is an apocalyptic number.

412411422243320 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 412411422243320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475567838928000).

412411422243320 is an abundant number, since it is smaller than the sum of its proper divisors (538724255612680).

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

412411422243320 is a wasteful number, since it uses less digits than its factorization.

412411422243320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698169 (or 698165 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 412411422243320 its reverse (23342224114214), we get a palindrome (435753646357534).

The spelling of 412411422243320 in words is "four hundred twelve trillion, four hundred eleven billion, four hundred twenty-two million, two hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 449 470 701 898 940 1402 1796 1880 2245 2804 3505 3592 4490 5608 7010 8980 14020 17960 21103 28040 32947 42206 65894 84412 105515 131788 164735 168824 211030 263576 314749 329470 422060 629498 658940 696961 844120 1258996 1317880 1393922 1573745 2517992 2787844 3147490 3484805 5575688 6294980 6969610 12589960 13939220 14793203 27878440 29586406 32757167 59172812 65514334 73966015 118345624 131028668 147932030 163785835 262057336 295864060 312935489 327571670 488569661 591728120 625870978 655143340 977139322 1251741956 1310286680 1564677445 1954278644 2442848305 2503483912 3129354890 3908557288 4885696610 6258709780 9771393220 12517419560 14707967983 19542786440 22962774067 29415935966 45925548134 58831871932 73539839915 91851096268 114813870335 117663743864 147079679830 183702192536 219367777789 229627740670 294159359660 438735555578 459255481340 588318719320 877471111156 918510962680 1096838888945 1754942222312 2193677777890 4387355555780 8774711111560 10310285556083 20620571112166 41241142224332 51551427780415 82482284448664 103102855560830 206205711121660 412411422243320