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1014214340340 = 223259775767169
BaseRepresentation
bin11101100001000111110…
…00101010111011110100
310120221212100012201201200
432300203320222323310
5113104102332342330
62053531301052500
7133163114436345
oct16604370527364
93527770181650
101014214340340
11361142611203
1214468a3b7130
1374842113006
14371341960cc
151b5ae5d7a60
hexec23e2aef4

1014214340340 has 72 divisors (see below), whose sum is σ = 3079599573960. Its totient is φ = 270180286464.

The previous prime is 1014214340339. The next prime is 1014214340351. The reversal of 1014214340340 is 430434124101.

1014214340340 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 214 + 3 + 403 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 303585572196 + 710628768144 = 550986^2 + 842988^2 .

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, 2707725 + ... + 3059444.

It is an arithmetic number, because the mean of its divisors is an integer number (42772216305).

Almost surely, 21014214340340 is an apocalyptic number.

1014214340340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014214340340 is an abundant number, since it is smaller than the sum of its proper divisors (2065385233620).

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

1014214340340 is a wasteful number, since it uses less digits than its factorization.

1014214340340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5768161 (or 5768156 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1014214340340 its reverse (430434124101), we get a palindrome (1444648464441).

The spelling of 1014214340340 in words is "one trillion, fourteen billion, two hundred fourteen million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 977 1954 2931 3908 4885 5862 8793 9770 11724 14655 17586 19540 29310 35172 43965 58620 87930 175860 5767169 11534338 17301507 23068676 28835845 34603014 51904521 57671690 69206028 86507535 103809042 115343380 173015070 207618084 259522605 346030140 519045210 1038090420 5634524113 11269048226 16903572339 22538096452 28172620565 33807144678 50710717017 56345241130 67614289356 84517861695 101421434034 112690482260 169035723390 202842868068 253553585085 338071446780 507107170170 1014214340340