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40934067466644 = 223211738431167953
BaseRepresentation
bin10010100111010101101001…
…00011001111000110010100
312100221020222112122201012200
421103222310203033012110
520331130432232413034
6223020503451444500
711423250231362322
oct1123526443170624
9170836875581180
1040934067466644
1112052049a32880
124711368456730
1319ac0b1ccca51
14a173101c2d12
154aebc7ec2a99
hex253ab48cf194

40934067466644 has 144 divisors (see below), whose sum is σ = 114439330247424. Its totient is φ = 12232817510400.

The previous prime is 40934067466637. The next prime is 40934067466661. The reversal of 40934067466644 is 44666476043904.

It is a congruent number.

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, 243639372 + ... + 243807324.

Almost surely, 240934067466644 is an apocalyptic number.

40934067466644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40934067466644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57219665123712).

40934067466644 is an abundant number, since it is smaller than the sum of its proper divisors (73505262780780).

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

40934067466644 is a wasteful number, since it uses less digits than its factorization.

40934067466644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176478 (or 176473 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 63.

The spelling of 40934067466644 in words is "forty trillion, nine hundred thirty-four billion, sixty-seven million, four hundred sixty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 146 198 219 292 396 438 657 803 876 1314 1606 2409 2628 3212 4818 7227 8431 9636 14454 16862 25293 28908 33724 50586 75879 92741 101172 151758 167953 185482 278223 303516 335906 370964 503859 556446 615463 671812 834669 1007718 1112892 1230926 1511577 1669338 1846389 1847483 2015436 2461852 3023154 3338676 3692778 3694966 5539167 5542449 6046308 6770093 7385556 7389932 11078334 11084898 12260569 13540186 16627347 20310279 22156668 22169796 24521138 27080372 33254694 36781707 40620558 49042276 60930837 66509388 73563414 81241116 110345121 121861674 134866259 147126828 220690242 243723348 269732518 404598777 441380484 539465036 809197554 1213796331 1416011743 1618395108 2427592662 2832023486 4248035229 4855185324 5664046972 8496070458 12744105687 15576129173 16992140916 25488211374 31152258346 46728387519 50976422748 62304516692 93456775038 103368857239 140185162557 186913550076 206737714478 280370325114 310106571717 413475428956 560740650228 620213143434 930319715151 1137057429629 1240426286868 1860639430302 2274114859258 3411172288887 3721278860604 4548229718516 6822344577774 10233516866661 13644689155548 20467033733322 40934067466644