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1214111214016 = 26438315135201
BaseRepresentation
bin10001101010101110101…
…010101110100111000000
311022001211111110001111121
4101222232222232213000
5124342444432322031
62325431024522024
7153500544020461
oct21525652564700
94261744401447
101214111214016
114289a1146038
12177377480314
138a64ac6569c
1442a986b0d68
15218ad98b011
hex11aaeaae9c0

1214111214016 has 112 divisors (see below), whose sum is σ = 2511577651968. Its totient is φ = 581898240000.

The previous prime is 1214111214007. The next prime is 1214111214067. The reversal of 1214111214016 is 6104121114121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34473216 + ... + 34508416.

It is an arithmetic number, because the mean of its divisors is an integer number (22424800464).

Almost surely, 21214111214016 is an apocalyptic number.

1214111214016 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 1214111214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255788825984).

1214111214016 is an abundant number, since it is smaller than the sum of its proper divisors (1297466437952).

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

1214111214016 is a wasteful number, since it uses less digits than its factorization.

1214111214016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35490 (or 35480 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 25.

Adding to 1214111214016 its reverse (6104121114121), we get a palindrome (7318232328137).

The spelling of 1214111214016 in words is "one trillion, two hundred fourteen billion, one hundred eleven million, two hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 43 64 83 86 151 166 172 302 332 344 604 664 688 1208 1328 1376 2416 2656 2752 3569 4832 5312 6493 7138 9664 12533 12986 14276 25066 25972 28552 35201 50132 51944 57104 70402 100264 103888 114208 140804 200528 207776 228416 281608 401056 415552 538919 563216 802112 1077838 1126432 1513643 2155676 2252864 2921683 3027286 4311352 5315351 5843366 6054572 8622704 10630702 11686732 12109144 17245408 21261404 23373464 24218288 34490816 42522808 46746928 48436576 85045616 93493856 96873152 125632369 170091232 186987712 228560093 251264738 340182464 441174133 457120186 502529476 882348266 914240372 1005058952 1764696532 1828480744 2010117904 3529393064 3656961488 4020235808 7058786128 7313922976 8040471616 14117572256 14627845952 18970487719 28235144512 37940975438 75881950876 151763901752 303527803504 607055607008 1214111214016