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131410401321144 = 2331120831152720731
BaseRepresentation
bin11101111000010001011110…
…010010100110000010111000
3122020021201012210220221111010
4131320101132102212002320
5114211012000214234034
61143253034401033520
736452042151140121
oct3570213622460270
9566251183827433
10131410401321144
1138964924757aa0
12128a42716258a0
135842c4206124a
142464423d57048
15102d44593b3e9
hex77845e4a60b8

131410401321144 has 128 divisors (see below), whose sum is σ = 358612463278080. Its totient is φ = 39796843708800.

The previous prime is 131410401321139. The next prime is 131410401321253. The reversal of 131410401321144 is 441123104014131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6338825259 + ... + 6338845989.

It is an arithmetic number, because the mean of its divisors is an integer number (2801659869360).

Almost surely, 2131410401321144 is an apocalyptic number.

It is an amenable number.

131410401321144 is an abundant number, since it is smaller than the sum of its proper divisors (227202061956936).

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

131410401321144 is a wasteful number, since it uses less digits than its factorization.

131410401321144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34361 (or 34357 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 131410401321144 its reverse (441123104014131), we get a palindrome (572533505335275).

The spelling of 131410401321144 in words is "one hundred thirty-one trillion, four hundred ten billion, four hundred one million, three hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2083 4166 6249 8332 11527 12498 16664 20731 22913 23054 24996 34581 41462 45826 46108 49992 62193 68739 69162 82924 91652 92216 124386 126797 137478 138324 165848 183304 228041 248772 253594 274956 276648 380391 456082 497544 507188 549912 684123 760782 912164 1014376 1368246 1521564 1824328 2736492 3043128 5472984 24010741 43182673 48021482 72032223 86365346 96042964 129548019 144064446 172730692 192085928 238966237 259096038 264118151 288128892 345461384 475009403 477932474 518192076 528236302 576257784 716898711 792354453 950018806 955864948 1036384152 1056472604 1425028209 1433797422 1584708906 1900037612 1911729896 2112945208 2628628607 2850056418 2867594844 3169417812 3800075224 5257257214 5700112836 5735189688 6338835624 7885885821 10514514428 11400225672 15771771642 21029028856 31543543284 63087086568 497766671671 995533343342 1493300015013 1991066686684 2986600030026 3982133373368 5475433388381 5973200060052 10950866776762 11946400120104 16426300165143 21901733553524 32852600330286 43803467107048 65705200660572 131410401321144