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412133143032 = 233213712761781
BaseRepresentation
bin1011111111101010000…
…11001011000111111000
31110101210021012220020200
411333311003023013320
523223022041034112
6513155323322200
741530020625602
oct5776503130770
91411707186220
10412133143032
1114986a462336
1267a5a680360
132cb3024c110
1415d3975c172
15aac1bb8cdc
hex5ff50cb1f8

412133143032 has 96 divisors (see below), whose sum is σ = 1202243122080. Its totient is φ = 126790352640.

The previous prime is 412133142979. The next prime is 412133143073. The reversal of 412133143032 is 230341331214.

It is a happy number.

412133143032 is a `hidden beast` number, since 4 + 1 + 21 + 331 + 4 + 303 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 412133142987 and 412133143005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6639982 + ... + 6701762.

It is an arithmetic number, because the mean of its divisors is an integer number (12523365855).

Almost surely, 2412133143032 is an apocalyptic number.

It is an amenable number.

412133143032 is an abundant number, since it is smaller than the sum of its proper divisors (790109979048).

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

412133143032 is a wasteful number, since it uses less digits than its factorization.

412133143032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68933 (or 68926 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 412133143032 its reverse (230341331214), we get a palindrome (642474474246).

The spelling of 412133143032 in words is "four hundred twelve billion, one hundred thirty-three million, one hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 7127 14254 21381 28508 42762 57016 61781 64143 85524 92651 123562 128286 171048 185302 185343 247124 256572 277953 370604 370686 494248 513144 555906 556029 741208 741372 803153 833859 1111812 1112058 1482744 1606306 1667718 2223624 2224116 2409459 3212612 3335436 4448232 4818918 6425224 6670872 7228377 9637836 14456754 19275672 28913508 57827016 440313187 880626374 1320939561 1761252748 2641879122 3522505496 3962818683 5283758244 5724071431 7925637366 10567516488 11448142862 15851274732 17172214293 22896285724 31702549464 34344428586 45792571448 51516642879 68688857172 103033285758 137377714344 206066571516 412133143032