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1411022020104 = 2332173521217429
BaseRepresentation
bin10100100010000111011…
…101110101111000001000
311222220002112212102121200
4110202013131311320020
5141104233114120404
63000114202504200
7203641304164314
oct24420735657010
94886075772550
101411022020104
114a4458166114
121a9570505060
13a309c271268
144c4183acb44
1526a85aed839
hex14887775e08

1411022020104 has 96 divisors (see below), whose sum is σ = 3851002747800. Its totient is φ = 466722247680.

The previous prime is 1411022020097. The next prime is 1411022020127. The reversal of 1411022020104 is 4010202201141.

1411022020104 is a `hidden beast` number, since 1 + 411 + 0 + 220 + 20 + 10 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1399465340100 + 11556680004 = 1182990^2 + 107502^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6380862 + ... + 6598290.

Almost surely, 21411022020104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1411022020104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925501373900).

1411022020104 is an abundant number, since it is smaller than the sum of its proper divisors (2439980727696).

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

1411022020104 is a wasteful number, since it uses less digits than its factorization.

1411022020104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218135 (or 218128 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1411022020104 its reverse (4010202201141), we get a palindrome (5421224221245).

The spelling of 1411022020104 in words is "one trillion, four hundred eleven billion, twenty-two million, twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 521 692 1038 1042 1384 1557 1563 2076 2084 3114 3126 4152 4168 4689 6228 6252 9378 12456 12504 18756 37512 90133 180266 217429 270399 360532 434858 540798 652287 721064 811197 869716 1081596 1304574 1622394 1739432 1956861 2163192 2609148 3244788 3913722 5218296 6489576 7827444 15654888 37615217 75230434 112845651 113280509 150460868 225691302 226561018 300921736 338536953 339841527 451382604 453122036 677073906 679683054 902765208 906244072 1019524581 1354147812 1359366108 2039049162 2708295624 2718732216 4078098324 8156196648 19597528057 39195056114 58792584171 78390112228 117585168342 156780224456 176377752513 235170336684 352755505026 470340673368 705511010052 1411022020104