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1941141384 = 23327131931503
BaseRepresentation
bin111001110110011…
…0111011110001000
312000021121012101100
41303230313132020
512433413011014
6520341221400
766050300220
oct16354673610
95007535340
101941141384
119067a6286
12462101860
1324c209a90
14145b37080
15b5638009
hex73b37788

1941141384 has 384 divisors, whose sum is σ = 7044710400. Its totient is φ = 468426240.

The previous prime is 1941141347. The next prime is 1941141401. The reversal of 1941141384 is 4831411491.

It is a super-3 number, since 3×19411413843 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3858877 + ... + 3859379.

It is an arithmetic number, because the mean of its divisors is an integer number (18345600).

Almost surely, 21941141384 is an apocalyptic number.

1941141384 is a gapful number since it is divisible by the number (14) 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 1941141384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522355200).

1941141384 is an abundant number, since it is smaller than the sum of its proper divisors (5103569016).

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

1941141384 is a wasteful number, since it uses less digits than its factorization.

1941141384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 578 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1941141384 is about 44058.3860802912. The cubic root of 1941141384 is about 1247.4382487844.

The spelling of 1941141384 in words is "one billion, nine hundred forty-one million, one hundred forty-one thousand, three hundred eighty-four".