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1010401434414 = 23283894175641
BaseRepresentation
bin11101011010000001001…
…11100101101100101110
310120121000121120001002200
432231000213211230232
5113023300231400124
62052101053202330
7132666455325501
oct16550047455456
93517017501080
101010401434414
1135a5662a5589
121439a54903a6
13743851aa468
1436c91a25138
151b4399bcbc9
hexeb409e5b2e

1010401434414 has 48 divisors (see below), whose sum is σ = 2215856142864. Its totient is φ = 332701027200.

The previous prime is 1010401434409. The next prime is 1010401434461. The reversal of 1010401434414 is 4144341040101.

1010401434414 is a `hidden beast` number, since 1 + 0 + 104 + 0 + 143 + 4 + 414 = 666.

It is a super-2 number, since 2×10104014344142 (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 13320034 + ... + 13395674.

It is an arithmetic number, because the mean of its divisors is an integer number (46163669643).

Almost surely, 21010401434414 is an apocalyptic number.

1010401434414 is an abundant number, since it is smaller than the sum of its proper divisors (1205454708450).

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

1010401434414 is a wasteful number, since it uses less digits than its factorization.

1010401434414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84673 (or 84670 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1010401434414 its reverse (4144341040101), we get a palindrome (5154742474515).

The spelling of 1010401434414 in words is "one trillion, ten billion, four hundred one million, four hundred thirty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 83 166 249 498 747 1494 8941 17882 26823 53646 75641 80469 151282 160938 226923 453846 680769 742103 1361538 1484206 2226309 4452618 6278203 6678927 12556406 13357854 18834609 37669218 56503827 113007654 676306181 1352612362 2028918543 4057837086 6086755629 12173511258 56133413023 112266826046 168400239069 336800478138 505200717207 1010401434414