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1345311144522 = 235101179153113
BaseRepresentation
bin10011100100111010110…
…010101111101001001010
311202121111001021002100000
4103210322302233221022
5134020144123111042
62510005530423430
7166124031023502
oct23447262575112
94677431232300
101345311144522
114795a8083774
12198891b91b76
1399b29608b67
144918328ca02
1524edbd2474c
hex1393acafa4a

1345311144522 has 96 divisors (see below), whose sum is σ = 3069800959680. Its totient is φ = 441513763200.

The previous prime is 1345311144503. The next prime is 1345311144553. The reversal of 1345311144522 is 2254411135431.

1345311144522 is a `hidden beast` number, since 1 + 3 + 4 + 531 + 114 + 4 + 5 + 2 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8709838 + ... + 8862950.

It is an arithmetic number, because the mean of its divisors is an integer number (31977093330).

Almost surely, 21345311144522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345311144522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534900479840).

1345311144522 is an abundant number, since it is smaller than the sum of its proper divisors (1724489815158).

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

1345311144522 is a wasteful number, since it uses less digits than its factorization.

1345311144522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153410 (or 153398 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 1345311144522 its reverse (2254411135431), we get a palindrome (3599722279953).

Subtracting 1345311144522 from its reverse (2254411135431), we obtain a palindrome (909099990909).

The spelling of 1345311144522 in words is "one trillion, three hundred forty-five billion, three hundred eleven million, one hundred forty-four thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 179 202 243 303 358 486 537 606 909 1074 1611 1818 2727 3222 4833 5454 8181 9666 14499 16362 18079 24543 28998 36158 43497 49086 54237 86994 108474 153113 162711 306226 325422 459339 488133 918678 976266 1378017 1464399 2756034 2928798 4134051 4393197 8268102 8786394 12402153 15464413 24804306 27407227 30928826 37206459 46393239 54814454 74412918 82221681 92786478 139179717 164443362 246665043 278359434 417539151 493330086 739995129 835078302 1252617453 1479990258 2219985387 2505234906 2768129927 3757852359 4439970774 5536259854 6659956161 7515704718 8304389781 13319912322 16608779562 24913169343 49826338686 74739508029 149479016058 224218524087 448437048174 672655572261 1345311144522