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145036265346 = 232714919938821
BaseRepresentation
bin1000011100010011010…
…1011100011110000010
3111212100211022200000100
42013010311130132002
54334013240442341
6150343450303230
713323063625440
oct2070465343602
9455324280010
10145036265346
1156567210905
1224138427b16
13108a50aa56b
14703c44db90
153b8ce3d3b6
hex21c4d5c782

145036265346 has 96 divisors (see below), whose sum is σ = 363373920000. Its totient is φ = 40952926080.

The previous prime is 145036265303. The next prime is 145036265359. The reversal of 145036265346 is 643562630541.

145036265346 is a `hidden beast` number, since 1 + 4 + 50 + 3 + 62 + 6 + 534 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3716616 + ... + 3755436.

It is an arithmetic number, because the mean of its divisors is an integer number (3785145000).

Almost surely, 2145036265346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145036265346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181686960000).

145036265346 is an abundant number, since it is smaller than the sum of its proper divisors (218337654654).

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

145036265346 is a wasteful number, since it uses less digits than its factorization.

145036265346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39184 (or 39181 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

Adding to 145036265346 its reverse (643562630541), we get a palindrome (788598895887).

The spelling of 145036265346 in words is "one hundred forty-five billion, thirty-six million, two hundred sixty-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 149 199 298 398 447 597 894 1043 1194 1341 1393 1791 2086 2682 2786 3129 3582 4179 6258 8358 9387 12537 18774 25074 29651 38821 59302 77642 88953 116463 177906 207557 232926 266859 271747 349389 415114 533718 543494 622671 698778 815241 1245342 1630482 1868013 2445723 3736026 4891446 5784329 7725379 11568658 15450758 17352987 23176137 34705974 40490303 46352274 52058961 54077653 69528411 80980606 104117922 108155306 121470909 139056822 162232959 242941818 324465918 364412727 486698877 728825454 973397754 1151081471 2302162942 3453244413 6906488826 8057570297 10359733239 16115140594 20719466478 24172710891 48345421782 72518132673 145036265346