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141415092 = 223371314389
BaseRepresentation
bin10000110110111…
…01001010110100
3100212002122001000
420123131022310
5242200240332
622011003300
73335002620
oct1033351264
9325078030
10141415092
1172909285
123b439530
13233b4490
1414ad2180
15c635b7c
hex86dd2b4

141415092 has 96 divisors (see below), whose sum is σ = 451270400. Its totient is φ = 37293696.

The previous prime is 141415069. The next prime is 141415097. The reversal of 141415092 is 290514141.

141415092 is a `hidden beast` number, since 14 + 141 + 509 + 2 = 666.

141415092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141415097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2634 + ... + 17022.

Almost surely, 2141415092 is an apocalyptic number.

141415092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141415092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225635200).

141415092 is an abundant number, since it is smaller than the sum of its proper divisors (309855308).

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

141415092 is a wasteful number, since it uses less digits than its factorization.

141415092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14422 (or 14414 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 141415092 is about 11891.8077683757. The cubic root of 141415092 is about 520.9930382959.

The spelling of 141415092 in words is "one hundred forty-one million, four hundred fifteen thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828 14389 28778 43167 57556 86334 100723 129501 172668 187057 201446 259002 302169 374114 388503 402892 518004 561171 604338 748228 777006 906507 1122342 1208676 1309399 1554012 1683513 1813014 2244684 2618798 2719521 3367026 3626028 3928197 5050539 5237596 5439042 6734052 7856394 10101078 10878084 11784591 15712788 20202156 23569182 35353773 47138364 70707546 141415092