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2141797440 = 26353179911
BaseRepresentation
bin111111110101001…
…0011110001000000
312112021011120202010
41333222103301000
513341300004230
6552310052520
7104034656256
oct17752236100
95467146663
102141797440
119a9a97132
124b934a140
13281963883
1416464a5d6
15c80719b0
hex7fa93c40

2141797440 has 224 divisors, whose sum is σ = 7116226560. Its totient is φ = 545126400.

The previous prime is 2141797403. The next prime is 2141797447. The reversal of 2141797440 is 447971412.

It is not an unprimeable number, because it can be changed into a prime (2141797447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2350585 + ... + 2351495.

Almost surely, 22141797440 is an apocalyptic number.

2141797440 is a gapful number since it is divisible by the number (20) 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 2141797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558113280).

2141797440 is an abundant number, since it is smaller than the sum of its proper divisors (4974429120).

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

2141797440 is a wasteful number, since it uses less digits than its factorization.

2141797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 2141797440 is about 46279.5574741159. The cubic root of 2141797440 is about 1289.0194339082.

The spelling of 2141797440 in words is "two billion, one hundred forty-one million, seven hundred ninety-seven thousand, four hundred forty".