Base | Representation |
---|---|
bin | 1011001000101011010110… |
… | …0111111010101000000000 |
3 | 1121100111010210000122021100 |
4 | 2302022311213322220000 |
5 | 3101100101201332230 |
6 | 42012402511054400 |
7 | 2402402253166050 |
oct | 262126547725000 |
9 | 47314123018240 |
10 | 12243703933440 |
11 | 39a0586750061 |
12 | 1458ab3811400 |
13 | 6aa7652613b5 |
14 | 304854153560 |
15 | 16374811d660 |
hex | b22b59faa00 |
12243703933440 has 1920 divisors, whose sum is σ = 51959299392000. Its totient is φ = 2604988366848.
The previous prime is 12243703933399. The next prime is 12243703933471. The reversal of 12243703933440 is 4433930734221.
12243703933440 is a `hidden beast` number, since 1 + 2 + 243 + 7 + 0 + 39 + 334 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24054427906 + ... + 24054428414.
It is an arithmetic number, because the mean of its divisors is an integer number (27062135100).
Almost surely, 212243703933440 is an apocalyptic number.
12243703933440 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 12243703933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25979649696000).
12243703933440 is an abundant number, since it is smaller than the sum of its proper divisors (39715595458560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12243703933440 is a wasteful number, since it uses less digits than its factorization.
12243703933440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 750 (or 731 counting only the distinct ones).
The product of its (nonzero) digits is 1306368, while the sum is 45.
The spelling of 12243703933440 in words is "twelve trillion, two hundred forty-three billion, seven hundred three million, nine hundred thirty-three thousand, four hundred forty".
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