Base | Representation |
---|---|
bin | 111011011001011010111… |
… | …111110011011100000000 |
3 | 112110012200212110202202000 |
4 | 323121122333303130000 |
5 | 1013333403333401100 |
6 | 12403043354024000 |
7 | 600616314125160 |
oct | 73313277633400 |
9 | 15405625422660 |
10 | 4081745606400 |
11 | 1334070a90670 |
12 | 55b0a0418000 |
13 | 237ba3787437 |
14 | 1017b3c725a0 |
15 | 7129783a900 |
hex | 3b65aff3700 |
4081745606400 has 3456 divisors, whose sum is σ = 19551068651520. Its totient is φ = 808869888000.
The previous prime is 4081745606387. The next prime is 4081745606429. The reversal of 4081745606400 is 46065471804.
4081745606400 is a `hidden beast` number, since 4 + 0 + 81 + 7 + 4 + 560 + 6 + 4 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3456).
It is a super-3 number, since 3×40817456064003 (a number of 39 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 38147155147 + ... + 38147155253.
It is an arithmetic number, because the mean of its divisors is an integer number (5657137920).
Almost surely, 24081745606400 is an apocalyptic number.
4081745606400 is a gapful number since it is divisible by the number (40) 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 4081745606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9775534325760).
4081745606400 is an abundant number, since it is smaller than the sum of its proper divisors (15469323045120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4081745606400 is a wasteful number, since it uses less digits than its factorization.
4081745606400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 268 (or 243 counting only the distinct ones).
The product of its (nonzero) digits is 645120, while the sum is 45.
The spelling of 4081745606400 in words is "four trillion, eighty-one billion, seven hundred forty-five million, six hundred six thousand, four hundred".
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