Search a number
-
+
60144327645714 = 23313197434901931
BaseRepresentation
bin11011010110011011100010…
…10010001101101000010010
321212221202000121022120121000
431223031301102031220102
530340401040334130324
6331525531144442430
715445166335612554
oct1553156122155022
9255852017276530
1060144327645714
111818907aaa6554
1268b4459779416
13277377cbbc1a0
1410bd002a074d4
156e475a6b99c9
hex36b37148da12

60144327645714 has 64 divisors (see below), whose sum is σ = 144665778660480. Its totient is φ = 18412008108480.

The previous prime is 60144327645683. The next prime is 60144327645749. The reversal of 60144327645714 is 41754672344106.

60144327645714 is a `hidden beast` number, since 6 + 0 + 1 + 4 + 4 + 3 + 2 + 7 + 64 + 571 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217312672 + ... + 217589259.

It is an arithmetic number, because the mean of its divisors is an integer number (2260402791570).

Almost surely, 260144327645714 is an apocalyptic number.

60144327645714 is an abundant number, since it is smaller than the sum of its proper divisors (84521451014766).

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

60144327645714 is a wasteful number, since it uses less digits than its factorization.

60144327645714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434902152 (or 434902146 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 60144327645714 in words is "sixty trillion, one hundred forty-four billion, three hundred twenty-seven million, six hundred forty-five thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 197 234 351 394 591 702 1182 1773 2561 3546 5122 5319 7683 10638 15366 23049 46098 69147 138294 434901931 869803862 1304705793 2609411586 3914117379 5653725103 7828234758 11307450206 11742352137 16961175309 23484704274 33922350618 50883525927 85675680407 101767051854 152650577781 171351360814 257027041221 305301155562 514054082442 771081123663 1113783845291 1542162247326 2227567690582 2313243370989 3341351535873 4626486741978 6682703071746 10024054607619 20048109215238 30072163822857 60144327645714