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1941441040 = 2457112371193
BaseRepresentation
bin111001110111000…
…0000101000010000
312000022011102102201
41303232000220100
512434002103130
6520351452544
766052655650
oct16356005020
95008142381
101941441040
11906990430
12462227154
1324c2b32a6
14145bb4360
15b5696bca
hex73b80a10

1941441040 has 320 divisors, whose sum is σ = 5985902592. Its totient is φ = 567705600.

The previous prime is 1941440869. The next prime is 1941441041. The reversal of 1941441040 is 401441491.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1941441041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10059184 + ... + 10059376.

Almost surely, 21941441040 is an apocalyptic number.

1941441040 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 1941441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992951296).

1941441040 is an abundant number, since it is smaller than the sum of its proper divisors (4044461552).

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

1941441040 is a wasteful number, since it uses less digits than its factorization.

1941441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1941441040 is about 44061.7866183386. The cubic root of 1941441040 is about 1247.5024349252.

The spelling of 1941441040 in words is "one billion, nine hundred forty-one million, four hundred forty-one thousand, forty".