Search a number
-
+
34435056040412 = 221973193317101449
BaseRepresentation
bin1111101010001100010010…
…10010000111100111011100
311111220221220021002012100012
413311012021102013213130
514003140443321243122
6201123125114022352
710152564534622646
oct765061122074734
9144827807065305
1034435056040412
11aa76909462045
123a418b27179b8
13162a29a58b5a1
148709465c5896
153eab050cc7e2
hex1f51894879dc

34435056040412 has 96 divisors (see below), whose sum is σ = 64839649224000. Its totient is φ = 15953897521152.

The previous prime is 34435056040361. The next prime is 34435056040477. The reversal of 34435056040412 is 21404065053443.

It is a self number, because there is not a number n which added to its sum of digits gives 34435056040412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339381464 + ... + 339482912.

It is an arithmetic number, because the mean of its divisors is an integer number (675413012750).

Almost surely, 234435056040412 is an apocalyptic number.

It is an amenable number.

34435056040412 is a deficient number, since it is larger than the sum of its proper divisors (30404593183588).

34435056040412 is a wasteful number, since it uses less digits than its factorization.

34435056040412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102055 (or 102053 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

The spelling of 34435056040412 in words is "thirty-four trillion, four hundred thirty-five billion, fifty-six million, forty thousand, four hundred twelve".

Divisors: 1 2 4 19 38 73 76 146 193 292 317 386 634 772 1268 1387 2774 3667 5548 6023 7334 12046 14089 14668 23141 24092 28178 46282 56356 61181 92564 101449 122362 202898 244724 267691 405796 439679 535382 879358 1070764 1162439 1758716 1927531 2324878 3855062 4466213 4649756 7405777 7710124 8932426 14811554 17864852 19579657 29623108 32159333 39159314 64318666 78318628 84858047 128637332 140709763 169716094 281419526 339432188 372013483 562839052 611027327 744026966 1222054654 1429314961 1488053932 2347631309 2444109308 2858629922 4695262618 5717259844 6206751269 9390525236 12413502538 24827005076 27156984259 44604994871 54313968518 89209989742 108627937036 117928274111 178419979484 235856548222 453092842637 471713096444 906185685274 1812371370548 8608764010103 17217528020206 34435056040412