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416540045614 = 271147269349613
BaseRepresentation
bin1100000111110111011…
…10001011000100101110
31110211011101120202002211
412003323232023010232
523311033222424424
6515204510441034
742044151653230
oct6037356130456
91424141522084
10416540045614
11150720aa6490
126888a50317a
133038325ab94
1416236b52250
15ac7da17b94
hex60fbb8b12e

416540045614 has 128 divisors (see below), whose sum is σ = 802109952000. Its totient is φ = 157534087680.

The previous prime is 416540045599. The next prime is 416540045653.

It is a happy number.

416540045614 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4165400456142 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 679510372 + ... + 679510984.

It is an arithmetic number, because the mean of its divisors is an integer number (6266484000).

Almost surely, 2416540045614 is an apocalyptic number.

416540045614 is a deficient number, since it is larger than the sum of its proper divisors (385569906386).

416540045614 is a wasteful number, since it uses less digits than its factorization.

416540045614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298.

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 416540045614 in words is "four hundred sixteen billion, five hundred forty million, forty-five thousand, six hundred fourteen".

Divisors: 1 2 7 11 14 22 47 77 94 154 269 329 349 517 538 613 658 698 1034 1226 1883 2443 2959 3619 3766 3839 4291 4886 5918 6743 7238 7678 8582 12643 13486 16403 20713 25286 26873 28811 32806 41426 47201 53746 57622 88501 93881 94402 114821 139073 164897 177002 180433 187762 201677 213937 229642 278146 316921 329794 360866 403354 427874 633842 657167 973511 1032691 1154279 1263031 1314334 1497559 1813867 1947022 2065382 2218447 2308558 2353307 2526062 2995118 3627734 4412407 4436894 4706614 7228837 7750159 8824814 10055039 12697069 14457674 15500318 16473149 20110078 25394138 30886849 32946298 48536477 54251113 57549053 61773698 70385273 85251749 97072954 108502226 110605429 115098106 140770546 170503498 221210858 339755339 402843371 596762243 633039583 679510678 774238003 805686742 1193524486 1266079166 1548476006 2704805491 4431277081 5409610982 8862554162 18933638437 29752860401 37867276874 59505720802 208270022807 416540045614