Search a number
-
+
201134044440 = 23325779815097
BaseRepresentation
bin1011101101010010000…
…1011111010100011000
3201020011101012010000100
42323110201133110120
511243410303410230
6232222200335400
720350201112010
oct2732441372430
9636141163010
10201134044440
1178333a1960a
1232b93474560
1315c7525c9a4
149a40962c40
155372cd2660
hex2ed485f518

201134044440 has 96 divisors (see below), whose sum is σ = 747069317280. Its totient is φ = 45973495296.

The previous prime is 201134044427. The next prime is 201134044493. The reversal of 201134044440 is 44440431102.

201134044440 is a `hidden beast` number, since 201 + 13 + 4 + 0 + 4 + 4 + 440 = 666.

201134044440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39905029 + ... + 39910068.

It is an arithmetic number, because the mean of its divisors is an integer number (7781972055).

Almost surely, 2201134044440 is an apocalyptic number.

201134044440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201134044440 is an abundant number, since it is smaller than the sum of its proper divisors (545935272840).

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

201134044440 is a wasteful number, since it uses less digits than its factorization.

201134044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79815121 (or 79815114 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 201134044440 its reverse (44440431102), we get a palindrome (245574475542).

The spelling of 201134044440 in words is "two hundred one billion, one hundred thirty-four million, forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 79815097 159630194 239445291 319260388 399075485 478890582 558705679 638520776 718335873 798150970 957781164 1117411358 1197226455 1436671746 1596301940 1676117037 1915562328 2234822716 2394452910 2793528395 2873343492 3192603880 3352234074 3591679365 4469645432 4788905820 5028351111 5587056790 5746686984 6704468148 7183358730 8380585185 9577811640 10056702222 11174113580 13408936296 14366717460 16761170370 20113404444 22348227160 25141755555 28733434920 33522340740 40226808888 50283511110 67044681480 100567022220 201134044440