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405112223150112 = 253172131311646907
BaseRepresentation
bin101110000011100101000101…
…0001001111011000000100000
31222010101100110101000221120010
41130013022022021323000200
5411044324313111300422
63553333552555044520
7151221251354503242
oct13407121211730040
91863340411027503
10405112223150112
11108099146794905
1239529567a40740
1314507bc358774a
14720777155a092
1531c7d72bd8b0c
hex170728a27b020

405112223150112 has 96 divisors (see below), whose sum is σ = 1126026606100032. Its totient is φ = 127088056664064.

The previous prime is 405112223150069. The next prime is 405112223150137. The reversal of 405112223150112 is 211051322211504.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4051122231501122 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 405112223150112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28959363 + ... + 40606269.

It is an arithmetic number, because the mean of its divisors is an integer number (11729443813542).

Almost surely, 2405112223150112 is an apocalyptic number.

It is an amenable number.

405112223150112 is an abundant number, since it is smaller than the sum of its proper divisors (720914382949920).

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

405112223150112 is a wasteful number, since it uses less digits than its factorization.

405112223150112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11668250 (or 11668242 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 405112223150112 its reverse (211051322211504), we get a palindrome (616163545361616).

The spelling of 405112223150112 in words is "four hundred five trillion, one hundred twelve billion, two hundred twenty-three million, one hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 21313 42626 63939 85252 127878 170504 255756 341008 362321 511512 682016 724642 1023024 1086963 1449284 2046048 2173926 2898568 4347852 5797136 8695704 11594272 11646907 17391408 23293814 34782816 34940721 46587628 69881442 93175256 139762884 186350512 197997419 279525768 372701024 395994838 559051536 593992257 791989676 1118103072 1187984514 1583979352 2375969028 3167958704 4751938056 6335917408 9503876112 19007752224 248230528891 496461057782 744691586673 992922115564 1489383173346 1985844231128 2978766346692 3971688462256 4219918991147 5957532693384 7943376924512 8439837982294 11915065386768 12659756973441 16879675964588 23830130773536 25319513946882 33759351929176 50639027893764 67518703858352 101278055787528 135037407716704 202556111575056 405112223150112