| Base | Representation |
|---|---|
| bin | 1000011101011111010… |
| … | …1110011011010000000 |
| 3 | 111220012001022111011000 |
| 4 | 2013113311303122000 |
| 5 | 4340141403021100 |
| 6 | 150435240452000 |
| 7 | 13334015121501 |
| oct | 2072765633200 |
| 9 | 456161274130 |
| 10 | 145355126400 |
| 11 | 567101a7940 |
| 12 | 2420717a000 |
| 13 | 10926180243 |
| 14 | 706c932ba8 |
| 15 | 3baae25900 |
| hex | 21d7d73680 |
145355126400 has 384 divisors, whose sum is σ = 580323124800. Its totient is φ = 35237376000.
The previous prime is 145355126377. The next prime is 145355126417. The reversal of 145355126400 is 4621553541.
145355126400 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 5 + 5 + 1 + 2 + 640 + 0 = 666.
145355126400 is digitally balanced in base 2, 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 2×1453551264002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873930 + ... + 1026870.
Almost surely, 2145355126400 is an apocalyptic number.
145355126400 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 145355126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290161562400).
145355126400 is an abundant number, since it is smaller than the sum of its proper divisors (434967998400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145355126400 is a wasteful number, since it uses less digits than its factorization.
145355126400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 152985 (or 152962 counting only the distinct ones).
The product of its (nonzero) digits is 72000, while the sum is 36.
Adding to 145355126400 its reverse (4621553541), we get a palindrome (149976679941).
The spelling of 145355126400 in words is "one hundred forty-five billion, three hundred fifty-five million, one hundred twenty-six thousand, four hundred".
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