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2040198144 = 21035771151
BaseRepresentation
bin111100110011010…
…1111010000000000
312021011222210201020
41321212233100000
513134242320034
6534240305440
7101362253355
oct17146572000
95234883636
102040198144
11957703076
1248b312280
132668b014a
14154d6062c
15be1a3249
hex799af400

2040198144 has 88 divisors (see below), whose sum is σ = 5452028928. Its totient is φ = 678297600.

The previous prime is 2040198107. The next prime is 2040198151. The reversal of 2040198144 is 4418910402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1771969 + ... + 1773119.

Almost surely, 22040198144 is an apocalyptic number.

2040198144 is a gapful number since it is divisible by the number (24) 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 2040198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726014464).

2040198144 is an abundant number, since it is smaller than the sum of its proper divisors (3411830784).

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

2040198144 is a wasteful number, since it uses less digits than its factorization.

2040198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2040198144 is about 45168.5526002328. The cubic root of 2040198144 is about 1268.3062016967.

The spelling of 2040198144 in words is "two billion, forty million, one hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 577 768 1024 1151 1154 1536 1731 2302 2308 3072 3453 3462 4604 4616 6906 6924 9208 9232 13812 13848 18416 18464 27624 27696 36832 36928 55248 55392 73664 73856 110496 110784 147328 147712 220992 221568 294656 295424 441984 443136 589312 590848 664127 883968 886272 1178624 1328254 1767936 1772544 1992381 2656508 3535872 3984762 5313016 7969524 10626032 15939048 21252064 31878096 42504128 63756192 85008256 127512384 170016512 255024768 340033024 510049536 680066048 1020099072 2040198144