Search a number
-
+
33445412105004 = 2234377139294473
BaseRepresentation
bin1111001101011000111011…
…11010000110101100101100
311101102100110021102100210000
413212230131322012230230
513340432200444330004
6155044335445544300
710021231330152024
oct746543572065454
9141370407370700
1033445412105004
11a725135238819
123901b40a15090
131587b729aa923
14838aa370aa84
153ceed2b09c39
hex1e6b1de86b2c

33445412105004 has 120 divisors (see below), whose sum is σ = 91060699691808. Its totient is φ = 10694383499520.

The previous prime is 33445412104997. The next prime is 33445412105011. The reversal of 33445412105004 is 40050121454433.

33445412105004 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 541 + 2 + 105 + 0 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (33445412104997) and next prime (33445412105011).

It is a super-2 number, since 2×334454121050042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 33445412105004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18796089 + ... + 20498384.

Almost surely, 233445412105004 is an apocalyptic number.

It is an amenable number.

33445412105004 is an abundant number, since it is smaller than the sum of its proper divisors (57615287586804).

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

33445412105004 is a wasteful number, since it uses less digits than its factorization.

33445412105004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39294597 (or 39294586 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 33445412105004 its reverse (40050121454433), we get a palindrome (73495533559437).

The spelling of 33445412105004 in words is "thirty-three trillion, four hundred forty-five billion, four hundred twelve million, one hundred five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 71 74 81 108 111 142 148 162 213 222 284 324 333 426 444 639 666 852 999 1278 1332 1917 1998 2556 2627 2997 3834 3996 5254 5751 5994 7668 7881 10508 11502 11988 15762 23004 23643 31524 47286 70929 94572 141858 212787 283716 425574 851148 39294473 78588946 117883419 157177892 235766838 353650257 471533676 707300514 1060950771 1414601028 1453895501 2121901542 2789907583 2907791002 3182852313 4243803084 4361686503 5579815166 5815582004 6365704626 8369722749 8723373006 11159630332 12731409252 13085059509 16739445498 17446746012 25109168247 26170119018 33478890996 39255178527 50218336494 52340238036 75327504741 78510357054 100436672988 103226580571 117765535581 150655009482 157020714108 206453161142 225982514223 235531071162 301310018964 309679741713 412906322284 451965028446 471062142324 619359483426 903930056892 929039225139 1238718966852 1858078450278 2787117675417 3716156900556 5574235350834 8361353026251 11148470701668 16722706052502 33445412105004