Search a number
-
+
11283142189725 = 345274318511369
BaseRepresentation
bin1010010000110000111110…
…1011101010001010011101
31110221122202120122012210000
42210030033223222022131
52434330333400032400
635555223131204513
72243115532115040
oct244141753521235
943848676565700
1011283142189725
1136601766848aa
1213228b95a6739
1363acc38554a3
142b016d84cc57
15148778dcb600
hexa430faea29d

11283142189725 has 120 divisors (see below), whose sum is σ = 24441524402240. Its totient is φ = 5038053914880.

The previous prime is 11283142189717. The next prime is 11283142189733. The reversal of 11283142189725 is 52798124138211.

11283142189725 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 314 + 218 + 97 + 25 = 666.

11283142189725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11283142189717) and next prime (11283142189733).

It is not a de Polignac number, because 11283142189725 - 23 = 11283142189717 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8646160 + ... + 9865209.

Almost surely, 211283142189725 is an apocalyptic number.

11283142189725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11283142189725 is an abundant number, since it is smaller than the sum of its proper divisors (13158382212515).

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

11283142189725 is a wasteful number, since it uses less digits than its factorization.

11283142189725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18511441 (or 18511427 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 11283142189725 in words is "eleven trillion, two hundred eighty-three billion, one hundred forty-two million, one hundred eighty-nine thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 43 45 63 75 81 105 129 135 175 189 215 225 301 315 387 405 525 567 645 675 903 945 1075 1161 1505 1575 1935 2025 2709 2835 3225 3483 4515 4725 5805 7525 8127 9675 13545 14175 17415 22575 24381 29025 40635 67725 87075 121905 203175 609525 18511369 55534107 92556845 129579583 166602321 277670535 388738749 462784225 499806963 647897915 795988867 833011605 1166216247 1388352675 1499420889 1943693745 2387966601 2499034815 3239489575 3498648741 3979944335 4165058025 5571922069 5831081235 7163899803 7497104445 9718468725 10495946223 11939833005 12495174075 16715766207 17493243705 19899721675 21491699409 27859610345 29155406175 35819499015 37485522225 50147298621 52479731115 59699165025 64475098227 83578831035 87466218525 107458497045 139298051725 150441895863 179097495075 250736493105 262398655575 322375491135 417894155175 451325687589 537292485225 752209479315 1253682465525 1611877455675 2256628437945 3761047396575 11283142189725