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404010012312 = 2332103149936343
BaseRepresentation
bin1011110000100001101…
…11111000111010011000
31102121211011010002202100
411320100313320322120
523104403030343222
6505333304403400
741121513305004
oct5702067707230
91377734102670
10404010012312
11146381134a65
1266372176560
132c1373570aa
14157a89a1704
15a79899a4ac
hex5e10df8e98

404010012312 has 96 divisors (see below), whose sum is σ = 1105584480000. Its totient is φ = 133269893568.

The previous prime is 404010012253. The next prime is 404010012317. The reversal of 404010012312 is 213210010404.

404010012312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404010012317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11098413 + ... + 11134755.

It is an arithmetic number, because the mean of its divisors is an integer number (11516505000).

Almost surely, 2404010012312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404010012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552792240000).

404010012312 is an abundant number, since it is smaller than the sum of its proper divisors (701574467688).

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

404010012312 is a wasteful number, since it uses less digits than its factorization.

404010012312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37957 (or 37950 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 404010012312 its reverse (213210010404), we get a palindrome (617220022716).

The spelling of 404010012312 in words is "four hundred four billion, ten million, twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1236 1499 1854 2472 2998 3708 4497 5996 7416 8994 11992 13491 17988 26982 35976 36343 53964 72686 107928 109029 145372 154397 218058 290744 308794 327087 436116 463191 617588 654174 872232 926382 1235176 1308348 1389573 1852764 2616696 2779146 3705528 3743329 5558292 7486658 11116584 11229987 14973316 22459974 29946632 33689961 44919948 54478157 67379922 89839896 108956314 134759844 163434471 217912628 269519688 326868942 435825256 490303413 653737884 980606826 1307475768 1961213652 3922427304 5611250171 11222500342 16833750513 22445000684 33667501026 44890001368 50501251539 67335002052 101002503078 134670004104 202005006156 404010012312