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7107230016414 = 23211192223744449
BaseRepresentation
bin110011101101100011111…
…1010111010001110011110
3221011110000002011012121200
41213123013322322032132
51412421101341011124
623041003312540330
71332323533236603
oct147330772721636
927143002135550
107107230016414
1122a0183071820
12969518b516a6
133c7293ca7898
141a7dc55aa6aa
15c4d1e53abc9
hex676c7eba39e

7107230016414 has 144 divisors (see below), whose sum is σ = 17737919362800. Its totient is φ = 2039395138560.

The previous prime is 7107230016391. The next prime is 7107230016479. The reversal of 7107230016414 is 4146100327017.

7107230016414 is a `hidden beast` number, since 7 + 1 + 0 + 7 + 2 + 3 + 0 + 0 + 1 + 641 + 4 = 666.

It is a super-2 number, since 2×71072300164142 (a number of 27 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 71 ways as a sum of consecutive naturals, for example, 159874062 + ... + 159918510.

It is an arithmetic number, because the mean of its divisors is an integer number (123179995575).

Almost surely, 27107230016414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7107230016414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8868959681400).

7107230016414 is an abundant number, since it is smaller than the sum of its proper divisors (10630689346386).

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

7107230016414 is a wasteful number, since it uses less digits than its factorization.

7107230016414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46743 (or 46721 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 7107230016414 in words is "seven trillion, one hundred seven billion, two hundred thirty million, sixteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 361 418 627 722 1083 1254 1881 2166 2237 3249 3762 3971 4474 6498 6711 7942 11913 13422 20133 23826 24607 35739 40266 42503 44449 49214 71478 73821 85006 88898 127509 133347 147642 221463 255018 266694 382527 400041 442926 467533 488939 765054 800082 807557 844531 935066 977878 1402599 1466817 1615114 1689062 2422671 2533593 2805198 2933634 4207797 4400451 4845342 5067186 7268013 7600779 8415594 8800902 8883127 9289841 14536026 15201558 16046089 17766254 18579682 26649381 27869523 32092178 48138267 53298762 55739046 79948143 83608569 96276534 99432413 144414801 159896286 167217138 176506979 198864826 288829602 298297239 353013958 529520937 596594478 894891717 1059041874 1093756543 1588562811 1789783434 1889215847 2187513086 3177125622 3281269629 3778431694 5667647541 6562539258 9843808887 11335295082 17002942623 19687617774 20781374317 34005885246 35895101093 41562748634 62344122951 71790202186 107685303279 124688245902 187032368853 215370606558 323055909837 374064737706 394846112023 646111819674 789692224046 1184538336069 2369076672138 3553615008207 7107230016414