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1414066405544 = 23132915727710781
BaseRepresentation
bin10100100100111100111…
…011010000000010101000
312000011221201102020022222
4110210330323100002220
5141132001444434134
63001340234333212
7204106612061522
oct24447473200250
95004851366288
101414066405544
114a577a691a41
121aa07bb8a208
13a3465bc6470
144c62684aa12
1526bb300da2e
hex1493ced00a8

1414066405544 has 128 divisors (see below), whose sum is σ = 2983607978400. Its totient is φ = 623809105920.

The previous prime is 1414066405523. The next prime is 1414066405649. The reversal of 1414066405544 is 4455046604141.

It can be written as a sum of positive squares in 16 ways, for example, as 48061792900 + 1366004612644 = 219230^2 + 1168762^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1414066405495 and 1414066405504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131157434 + ... + 131168214.

Almost surely, 21414066405544 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 1414066405544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491803989200).

1414066405544 is an abundant number, since it is smaller than the sum of its proper divisors (1569541572856).

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

1414066405544 is a wasteful number, since it uses less digits than its factorization.

1414066405544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11263 (or 11259 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 1414066405544 in words is "one trillion, four hundred fourteen billion, sixty-six million, four hundred five thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 157 232 277 314 377 554 628 754 1108 1256 1508 2041 2216 3016 3601 4082 4553 7202 8033 8164 9106 10781 14404 16066 16328 18212 21562 28808 32132 36424 43124 43489 59189 64264 86248 86978 104429 118378 140153 173956 208858 236756 280306 312649 347912 417716 473512 560612 565357 625298 835432 1121224 1130714 1250596 1261181 1692617 2261428 2501192 2522362 2986337 3385234 4064437 4522856 5044724 5972674 6770468 8128874 10089448 11945348 13540936 16257748 16395353 22004021 23890696 32515496 32790706 38822381 44008042 49085893 65581412 77644762 86603773 88016084 98171786 131162824 155289524 173207546 176032168 196343572 310579048 346415092 392687144 468854909 638116609 692830184 937709818 1125849049 1276233218 1875419636 2251698098 2552466436 3750839272 4503396196 5104932872 6095113817 9006792392 12190227634 13596792361 24380455268 27193584722 48760910536 54387169444 108774338888 176758300693 353516601386 707033202772 1414066405544