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40212343154214 = 232711571149334033
BaseRepresentation
bin10010010010010101010100…
…11011011110011000100110
312021101021002100000220020200
421021022222123132120212
520232314334321413324
6221305143451011330
711320150231060050
oct1111125233363046
9167337070026220
1040212343154214
11118a3a60416770
124615508439b46
131959013b7868a
149d04059c28d0
1549b036ae6ec9
hex2492aa6de626

40212343154214 has 192 divisors, whose sum is σ = 108891871216128. Its totient is φ = 10419182668800.

The previous prime is 40212343154209. The next prime is 40212343154231. The reversal of 40212343154214 is 41245134321204.

40212343154214 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 2 + 3 + 431 + 5 + 4 + 214 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1181552142 + ... + 1181586174.

It is an arithmetic number, because the mean of its divisors is an integer number (567145162584).

Almost surely, 240212343154214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40212343154214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54445935608064).

40212343154214 is an abundant number, since it is smaller than the sum of its proper divisors (68679528061914).

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

40212343154214 is a wasteful number, since it uses less digits than its factorization.

40212343154214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36123 (or 36120 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 40212343154214 its reverse (41245134321204), we get a palindrome (81457477475418).

The spelling of 40212343154214 in words is "forty trillion, two hundred twelve billion, three hundred forty-three million, one hundred fifty-four thousand, two hundred fourteen".