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1943046144 = 21134131753
BaseRepresentation
bin111001111010000…
…1000100000000000
312000102011222020000
41303310020200000
512434404434034
6520450120000
766102422364
oct16364104000
95012158200
101943046144
11907887366
12462880000
1324c725a60
141460b12a4
15b58b2599
hex73d08800

1943046144 has 480 divisors, whose sum is σ = 6742695960. Its totient is φ = 552075264.

The previous prime is 1943046113. The next prime is 1943046151. The reversal of 1943046144 is 4416403491.

It is a happy number.

1943046144 is a `hidden beast` number, since 1 + 9 + 4 + 30 + 4 + 614 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1743897600 + 199148544 = 41760^2 + 14112^2 .

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 = 1943046099 and 1943046108.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36661222 + ... + 36661274.

Almost surely, 21943046144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1943046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371347980).

1943046144 is an abundant number, since it is smaller than the sum of its proper divisors (4799649816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1943046144 is a wasteful number, since it uses less digits than its factorization.

1943046144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1943046144 is about 44079.9970961887. The cubic root of 1943046144 is about 1247.8461348770.

The spelling of 1943046144 in words is "one billion, nine hundred forty-three million, forty-six thousand, one hundred forty-four".