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10435445453142 = 23319312357139201
BaseRepresentation
bin1001011111011011000100…
…0001001111000101010110
31100221121201010200012121000
42113312301001033011112
52331433243014000032
634105551044204130
72124636031542663
oct227666101170526
940847633605530
1010435445453142
1133637139a7a46
121206561699646
135a909b084778
14281114a34a6a
151316b355ce7c
hex97db104f156

10435445453142 has 128 divisors (see below), whose sum is σ = 25208702668800. Its totient is φ = 3187724544000.

The previous prime is 10435445453099. The next prime is 10435445453203. The reversal of 10435445453142 is 24135454453401.

10435445453142 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 5 + 4 + 454 + 53 + 142 = 666.

10435445453142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×104354454531423 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74897142 + ... + 75036342.

It is an arithmetic number, because the mean of its divisors is an integer number (196942989600).

Almost surely, 210435445453142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10435445453142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12604351334400).

10435445453142 is an abundant number, since it is smaller than the sum of its proper divisors (14773257215658).

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

10435445453142 is a wasteful number, since it uses less digits than its factorization.

10435445453142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141619 (or 141613 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 10435445453142 in words is "ten trillion, four hundred thirty-five billion, four hundred forty-five million, four hundred fifty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 93 114 171 186 279 342 513 558 589 837 1026 1178 1674 1767 2357 3534 4714 5301 7071 10602 14142 15903 21213 31806 42426 44783 63639 73067 89566 127278 134349 139201 146134 219201 268698 278402 403047 417603 438402 657603 806094 835206 1209141 1252809 1315206 1388273 1972809 2418282 2505618 2644819 2776546 3758427 3945618 4164819 4315231 5289638 7516854 7934457 8329638 8630462 12494457 12945693 15868914 23803371 24988914 25891386 37483371 38837079 47606742 71410113 74966742 77674158 81989389 116511237 142820226 163978778 233022474 245968167 328096757 491936334 656193514 737904501 984290271 1475809002 1968580542 2213713503 2952870813 4427427006 5905741626 6233838383 8858612439 10170999467 12467676766 17717224878 18701515149 20341998934 30512998401 37403030298 56104545447 61025996802 91538995203 112209090894 168313636341 183077990406 193248989873 274616985609 336627272682 386497979746 549233971218 579746969619 1159493939238 1739240908857 3478481817714 5217722726571 10435445453142