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201341401040 = 24513193597501
BaseRepresentation
bin1011101110000011100…
…0011111011111010000
3201020200211100220210102
42323200320133133100
511244321344313130
6232254524551532
720355266446133
oct2734070373720
9636624326712
10201341401040
117842aa766aa
12330309b25a8
1315ca91c15c0
149a602dc21a
1553860e1645
hex2ee0e1f7d0

201341401040 has 40 divisors (see below), whose sum is σ = 504127895208. Its totient is φ = 74341440000.

The previous prime is 201341401013. The next prime is 201341401049. The reversal of 201341401040 is 40104143102.

It can be written as a sum of positive squares in 4 ways, for example, as 1056510016 + 200284891024 = 32504^2 + 447532^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2013414010402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201341401049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96797711 + ... + 96799790.

Almost surely, 2201341401040 is an apocalyptic number.

201341401040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201341401040 is an abundant number, since it is smaller than the sum of its proper divisors (302786494168).

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

201341401040 is a wasteful number, since it uses less digits than its factorization.

201341401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193597527 (or 193597521 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 201341401040 its reverse (40104143102), we get a palindrome (241445544142).

The spelling of 201341401040 in words is "two hundred one billion, three hundred forty-one million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 193597501 387195002 774390004 967987505 1548780008 1935975010 2516767513 3097560016 3871950020 5033535026 7743900040 10067070052 12583837565 15487800080 20134140104 25167675130 40268280208 50335350260 100670700520 201341401040