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400002232041 = 3441233599863
BaseRepresentation
bin1011101001000011111…
…11011010111011101001
31102020110211202202210000
411310201333122323221
523023201032411131
6503431500013213
740620266605266
oct5644177327351
91366424682700
10400002232041
11144704917365
1265633b31209
132b948c40289
14155085c426d
15a611bd9ce6
hex5d21fdaee9

400002232041 has 80 divisors (see below), whose sum is σ = 616475059200. Its totient is φ = 258315333120.

The previous prime is 400002231991. The next prime is 400002232057. The reversal of 400002232041 is 140232200004.

400002232041 is a `hidden beast` number, since 400 + 0 + 0 + 223 + 2 + 0 + 41 = 666.

It is not a de Polignac number, because 400002232041 - 27 = 400002231913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400002234041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 463501576 + ... + 463502438.

It is an arithmetic number, because the mean of its divisors is an integer number (7705938240).

Almost surely, 2400002232041 is an apocalyptic number.

400002232041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

400002232041 is a deficient number, since it is larger than the sum of its proper divisors (216472827159).

400002232041 is a wasteful number, since it uses less digits than its factorization.

400002232041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 400002232041 its reverse (140232200004), we get a palindrome (540234432045).

The spelling of 400002232041 in words is "four hundred billion, two million, two hundred thirty-two thousand, forty-one".

Divisors: 1 3 9 27 41 81 123 233 369 599 699 863 1107 1797 2097 2589 3321 5391 6291 7767 9553 16173 18873 23301 24559 28659 35383 48519 69903 73677 85977 106149 139567 201079 221031 257931 318447 418701 516937 603237 663093 773793 955341 1256103 1550811 1809711 1989279 2866023 3768309 4652433 5429133 5722247 8244239 11304927 13957299 16287399 17166741 21194417 24732717 41871897 51500223 63583251 74198151 120446321 154500669 190749753 222594453 361338963 463502007 572249259 667783359 1084016889 1716747777 3252050667 4938299161 9756152001 14814897483 44444692449 133334077347 400002232041