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60142044312 = 23327463257731
BaseRepresentation
bin111000000000101111…
…101100010010011000
312202020101212101220200
4320000233230102120
51441132330404222
643343500422200
74226242641030
oct700057542230
9182211771820
1060142044312
1123562686059
12b7a5547960
135896001b8c
142ca76aa8c0
15186ee5eeac
hexe00bec498

60142044312 has 96 divisors (see below), whose sum is σ = 186556730880. Its totient is φ = 17146261440.

The previous prime is 60142044301. The next prime is 60142044359. The reversal of 60142044312 is 21344024106.

It is a happy number.

60142044312 is a `hidden beast` number, since 601 + 4 + 2 + 0 + 4 + 43 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104487 + ... + 362217.

It is an arithmetic number, because the mean of its divisors is an integer number (1943299280).

Almost surely, 260142044312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60142044312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93278365440).

60142044312 is an abundant number, since it is smaller than the sum of its proper divisors (126414686568).

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

60142044312 is a wasteful number, since it uses less digits than its factorization.

60142044312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258213 (or 258206 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 60142044312 its reverse (21344024106), we get a palindrome (81486068418).

The spelling of 60142044312 in words is "sixty billion, one hundred forty-two million, forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 463 504 926 1389 1852 2778 3241 3704 4167 5556 6482 8334 9723 11112 12964 16668 19446 25928 29169 33336 38892 58338 77784 116676 233352 257731 515462 773193 1030924 1546386 1804117 2061848 2319579 3092772 3608234 4639158 5412351 6185544 7216468 9278316 10824702 14432936 16237053 18556632 21649404 32474106 43298808 64948212 119329453 129896424 238658906 357988359 477317812 715976718 835306171 954635624 1073965077 1431953436 1670612342 2147930154 2505918513 2863906872 3341224684 4295860308 5011837026 6682449368 7517755539 8591720616 10023674052 15035511078 20047348104 30071022156 60142044312