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1214502016 = 27713127821
BaseRepresentation
bin100100001100011…
…1101010010000000
310010122022002120011
41020120331102000
54441403031031
6320302554304
742045045130
oct11030752200
93118262504
101214502016
11573611382
1229a898994
13164801260
14b7426ac0
15719526b1
hex4863d480

1214502016 has 128 divisors (see below), whose sum is σ = 3004968960. Its totient is φ = 476098560.

The previous prime is 1214502013. The next prime is 1214502017. The reversal of 1214502016 is 6102054121.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1214502013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1478886 + ... + 1479706.

It is an arithmetic number, because the mean of its divisors is an integer number (23476320).

Almost surely, 21214502016 is an apocalyptic number.

1214502016 is a gapful number since it is divisible by the number (16) 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 1214502016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502484480).

1214502016 is an abundant number, since it is smaller than the sum of its proper divisors (1790466944).

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

1214502016 is a wasteful number, since it uses less digits than its factorization.

1214502016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1214502016 is about 34849.7061106690. The cubic root of 1214502016 is about 1066.9221873961.

Adding to 1214502016 its reverse (6102054121), we get a palindrome (7316556137).

The spelling of 1214502016 in words is "one billion, two hundred fourteen million, five hundred two thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 127 128 182 208 224 254 364 416 448 508 728 821 832 889 896 1016 1456 1642 1651 1664 1778 2032 2912 3284 3302 3556 4064 5747 5824 6568 6604 7112 8128 10673 11494 11557 11648 13136 13208 14224 16256 21346 22988 23114 26272 26416 28448 42692 45976 46228 52544 52832 56896 74711 85384 91952 92456 104267 105088 105664 113792 149422 170768 183904 184912 208534 211328 298844 341536 367808 369824 417068 597688 683072 729869 735616 739648 834136 1195376 1355471 1366144 1459738 1479296 1668272 2390752 2710942 2919476 3336544 4781504 5421884 5838952 6673088 9488297 9563008 10843768 11677904 13346176 18976594 21687536 23355808 37953188 43375072 46711616 75906376 86750144 93423232 151812752 173500288 303625504 607251008 1214502016