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1214404213224 = 2331973316911123
BaseRepresentation
bin10001101011000000001…
…000011011100111101000
311022002120220202221212010
4101223000020123213220
5124344044434310344
62325520052515520
7153511032331536
oct21530010334750
94262526687763
101214404213224
11429031578744
1217743961bba0
138a696881ab7
1442ac5581156
15218c95658b9
hex11ac021b9e8

1214404213224 has 128 divisors (see below), whose sum is σ = 3067799201280. Its totient is φ = 400591699200.

The previous prime is 1214404213193. The next prime is 1214404213259. The reversal of 1214404213224 is 4223124044121.

It is a junction number, because it is equal to n+sod(n) for n = 1214404213191 and 1214404213200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1081392327 + ... + 1081393449.

It is an arithmetic number, because the mean of its divisors is an integer number (23967181260).

Almost surely, 21214404213224 is an apocalyptic number.

It is an amenable number.

1214404213224 is an abundant number, since it is smaller than the sum of its proper divisors (1853394988056).

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

1214404213224 is a wasteful number, since it uses less digits than its factorization.

1214404213224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1214404213224 its reverse (4223124044121), we get a palindrome (5437528257345).

The spelling of 1214404213224 in words is "one trillion, two hundred fourteen billion, four hundred four million, two hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 197 331 394 591 662 691 788 993 1123 1182 1324 1382 1576 1986 2073 2246 2364 2648 2764 3369 3972 4146 4492 4728 5528 6738 7944 8292 8984 13476 16584 26952 65207 130414 136127 195621 221231 228721 260828 272254 371713 391242 408381 442462 457442 521656 544508 663693 686163 743426 775993 782484 816762 884924 914884 1089016 1115139 1327386 1372326 1486852 1551986 1564968 1633524 1769848 1829768 2230278 2327979 2654772 2744652 2973704 3103972 3267048 4460556 4655958 5309544 5489304 6207944 8921112 9311916 18623832 45058037 73227461 90116074 135174111 146454922 152870621 180232148 219682383 256853683 270348222 292909844 305741242 360464296 439364766 458611863 513707366 540696444 585819688 611482484 770561049 878729532 917223726 1027414732 1081392888 1222964968 1541122098 1757459064 1834447452 2054829464 3082244196 3668894904 6164488392 50600175551 101200351102 151800526653 202400702204 303601053306 404801404408 607202106612 1214404213224