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1214100433312 = 25136183576439
BaseRepresentation
bin10001101010101110000…
…001100110100110100000
311022001210202011100011021
4101222232001212212200
5124342434202331222
62325430001455224
7153500353260034
oct21525601464640
94261722140137
101214100433312
11428996052368
12177373941514
138a64895c680
1442a970a61c4
15218aca5bac7
hex11aae0669a0

1214100433312 has 96 divisors (see below), whose sum is σ = 2647851776640. Its totient is φ = 544526392320.

The previous prime is 1214100433297. The next prime is 1214100433319. The reversal of 1214100433312 is 2133340014121.

It is a super-3 number, since 3×12141004333123 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1214100433319) by changing a digit.

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, 1817989 + ... + 2394427.

It is an arithmetic number, because the mean of its divisors is an integer number (27581789340).

Almost surely, 21214100433312 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 1214100433312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323925888320).

1214100433312 is an abundant number, since it is smaller than the sum of its proper divisors (1433751343328).

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

1214100433312 is a wasteful number, since it uses less digits than its factorization.

1214100433312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576606 (or 576598 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1214100433312 its reverse (2133340014121), we get a palindrome (3347440447433).

The spelling of 1214100433312 in words is "one trillion, two hundred fourteen billion, one hundred million, four hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 61 83 104 122 166 208 244 332 416 488 664 793 976 1079 1328 1586 1952 2158 2656 3172 4316 5063 6344 8632 10126 12688 17264 20252 25376 34528 40504 65819 81008 131638 162016 263276 526552 576439 1053104 1152878 2106208 2305756 4611512 7493707 9223024 14987414 18446048 29974828 35162779 47844437 59949656 70325558 95688874 119899312 140651116 191377748 239798624 281302232 382755496 457116127 562604464 621977681 765510992 914232254 1125208928 1243955362 1531021984 1828464508 2487910724 2918510657 3656929016 4975821448 5837021314 7313858032 9951642896 11674042628 14627716064 19903285792 23348085256 37940638541 46696170512 75881277082 93392341024 151762554164 303525108328 607050216656 1214100433312