| Base | Representation |
|---|---|
| bin | 110001011011010000… |
| … | …1101100100000000000 |
| 3 | 101010222011221221102000 |
| 4 | 1202312201230200000 |
| 5 | 3214334211021230 |
| 6 | 120432152424000 |
| 7 | 10445166606342 |
| oct | 1426641544000 |
| 9 | 333864857360 |
| 10 | 106141501440 |
| 11 | 41018124027 |
| 12 | 186a26a8000 |
| 13 | a016cc0070 |
| 14 | 51cc985292 |
| 15 | 2b634c3b60 |
| hex | 18b686c800 |
106141501440 has 384 divisors, whose sum is σ = 406336694400. Its totient is φ = 26126254080.
The previous prime is 106141501429. The next prime is 106141501463. The reversal of 106141501440 is 44105141601.
106141501440 is a `hidden beast` number, since 1 + 0 + 614 + 1 + 5 + 0 + 1 + 4 + 40 = 666.
106141501440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×1061415014402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3579475 + ... + 3609005.
It is an arithmetic number, because the mean of its divisors is an integer number (1058168475).
Almost surely, 2106141501440 is an apocalyptic number.
106141501440 is a gapful number since it is divisible by the number (10) 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 106141501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203168347200).
106141501440 is an abundant number, since it is smaller than the sum of its proper divisors (300195192960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106141501440 is a wasteful number, since it uses less digits than its factorization.
106141501440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 29580 (or 29554 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 27.
The spelling of 106141501440 in words is "one hundred six billion, one hundred forty-one million, five hundred one thousand, four hundred forty".
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