Search a number
-
+
1214978503296 = 27318123973141
BaseRepresentation
bin10001101011100010010…
…111001011001010000000
311022011001221101220201210
4101223202113023022000
5124401233444101141
62330053045530120
7153531204610605
oct21534227131200
94264057356653
101214978503296
114292a6766338
12177579a13940
138a7588482cc
1442b3b9546ac
152190eba5916
hex11ae25cb280

1214978503296 has 128 divisors (see below), whose sum is σ = 3258739411200. Its totient is φ = 401064652800.

The previous prime is 1214978503279. The next prime is 1214978503303. The reversal of 1214978503296 is 6923058794121.

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

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 16574886 + ... + 16648026.

It is an arithmetic number, because the mean of its divisors is an integer number (25458901650).

It is a 1-persistent number, because it is pandigital, but 2⋅1214978503296 = 2429957006592 is not.

Almost surely, 21214978503296 is an apocalyptic number.

1214978503296 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 1214978503296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629369705600).

1214978503296 is an abundant number, since it is smaller than the sum of its proper divisors (2043760907904).

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

1214978503296 is a wasteful number, since it uses less digits than its factorization.

1214978503296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73578 (or 73566 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 1214978503296 in words is "one trillion, two hundred fourteen billion, nine hundred seventy-eight million, five hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 239 362 384 478 543 717 724 956 1086 1434 1448 1912 2172 2868 2896 3824 4344 5736 5792 7648 8688 11472 11584 15296 17376 22944 23168 30592 34752 43259 45888 69504 73141 86518 91776 129777 146282 173036 219423 259554 292564 346072 438846 519108 585128 692144 877692 1038216 1170256 1384288 1755384 2076432 2340512 2768576 3510768 4152864 4681024 5537152 7021536 8305728 9362048 13238521 14043072 16611456 17480699 26477042 28086144 34961398 39715563 52442097 52954084 69922796 79431126 104884194 105908168 139845592 158862252 209768388 211816336 279691184 317724504 419536776 423632672 559382368 635449008 839073552 847265344 1118764736 1270898016 1678147104 1694530688 2237529472 2541796032 3164006519 3356294208 5083592064 6328013038 6712588416 9492019557 12656026076 18984039114 25312052152 37968078228 50624104304 75936156456 101248208608 151872312912 202496417216 303744625824 404992834432 607489251648 1214978503296