| Base | Representation |
|---|---|
| bin | 1011000100010001000… |
| … | …1001011010000000000 |
| 3 | 200011202001200112202100 |
| 4 | 2301010101023100000 |
| 5 | 11103333210223430 |
| 6 | 223201451150400 |
| 7 | 16510306415031 |
| oct | 2610421132000 |
| 9 | 604661615670 |
| 10 | 190123914240 |
| 11 | 736a3aa1857 |
| 12 | 30a20145400 |
| 13 | 14c0c1c9450 |
| 14 | 92b85b6a88 |
| 15 | 4e2b3e1960 |
| hex | 2c4444b400 |
190123914240 has 528 divisors, whose sum is σ = 726846893136. Its totient is φ = 45652377600.
The previous prime is 190123914229. The next prime is 190123914269. The reversal of 190123914240 is 42419321091.
190123914240 is a `hidden beast` number, since 19 + 0 + 12 + 391 + 4 + 240 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 79984889856 + 110139024384 = 282816^2 + 331872^2 .
It is a super-2 number, since 2×1901239142402 (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 a junction number, because it is equal to n+sod(n) for n = 190123914195 and 190123914204.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24556770 + ... + 24564510.
Almost surely, 2190123914240 is an apocalyptic number.
190123914240 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 190123914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363423446568).
190123914240 is an abundant number, since it is smaller than the sum of its proper divisors (536722978896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
190123914240 is a wasteful number, since it uses less digits than its factorization.
190123914240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7826 (or 7805 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 36.
The spelling of 190123914240 in words is "one hundred ninety billion, one hundred twenty-three million, nine hundred fourteen thousand, two hundred forty".
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