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1414010119995 = 335112938984407
BaseRepresentation
bin10100100100111001100…
…100100010011100111011
312000011210210111122002000
4110210321210202130323
5141131343042314440
63001330504112043
7204105326464644
oct24447144423473
95004723448060
101414010119995
114a5750938860
121aa065165623
13a345734a0c5
144c61d1986cb
1526bad0e1730
hex1493992273b

1414010119995 has 128 divisors (see below), whose sum is σ = 2844211968000. Its totient is φ = 660230484480.

The previous prime is 1414010119981. The next prime is 1414010120027. The reversal of 1414010119995 is 5999110104141.

1414010119995 is a `hidden beast` number, since 1 + 41 + 401 + 0 + 119 + 9 + 95 = 666.

It is not a de Polignac number, because 1414010119995 - 24 = 1414010119979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1414010119995.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16710082 + ... + 16794488.

It is an arithmetic number, because the mean of its divisors is an integer number (22220406000).

Almost surely, 21414010119995 is an apocalyptic number.

1414010119995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1414010119995 is an abundant number, since it is smaller than the sum of its proper divisors (1430201848005).

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

1414010119995 is a wasteful number, since it uses less digits than its factorization.

1414010119995 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84850 (or 84844 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 45.

The spelling of 1414010119995 in words is "one trillion, four hundred fourteen billion, ten million, one hundred nineteen thousand, nine hundred ninety-five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 87 99 135 145 165 261 297 319 389 435 495 783 957 1167 1305 1485 1595 1945 2871 3501 3915 4279 4785 5835 8613 10503 11281 12837 14355 17505 21395 33843 38511 43065 52515 56405 64185 84407 101529 115533 124091 169215 192555 253221 304587 372273 422035 507645 577665 620455 759663 928477 1116819 1266105 1522935 1861365 2278989 2447803 2785431 3350457 3798315 4642385 5584095 7343409 8356293 11394945 12239015 13927155 16752285 22030227 25068879 26925833 32834323 36717045 41781465 66090681 80777499 98502969 110151135 125344395 134629165 164171615 242332497 295508907 330453405 361177553 403887495 492514845 726997491 886526721 952195367 1083532659 1211662485 1477544535 1805887765 2856586101 3250597977 3634987455 4432633605 4760976835 5417663295 8569758303 9751793931 10474149037 14282930505 16252989885 25709274909 31422447111 42848791515 48758969655 52370745185 94267341333 128546374545 157112235555 282802023999 471336706665 1414010119995