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14605814040 = 2335299194567
BaseRepresentation
bin11011001101001001…
…10000100100011000
31101200220102020012120
431212210300210120
5214403042022130
610413153141240
71024642241136
oct154644604430
941626366176
1014605814040
1162156682a4
1229b755a820
1314b9c91c1c
149c7b34756
155a73ed910
hex366930918

14605814040 has 128 divisors (see below), whose sum is σ = 45387648000. Its totient is φ = 3755662848.

The previous prime is 14605814017. The next prime is 14605814051. The reversal of 14605814040 is 4041850641.

It is a super-2 number, since 2×146058140402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14605813992 and 14605814010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3195837 + ... + 3200403.

It is an arithmetic number, because the mean of its divisors is an integer number (354591000).

Almost surely, 214605814040 is an apocalyptic number.

14605814040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14605814040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22693824000).

14605814040 is an abundant number, since it is smaller than the sum of its proper divisors (30781833960).

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

14605814040 is a wasteful number, since it uses less digits than its factorization.

14605814040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 14605814040 in words is "fourteen billion, six hundred five million, eight hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 919 1160 1740 1838 2757 3480 3676 4567 4595 5514 7352 9134 9190 11028 13701 13785 18268 18380 22056 22835 26651 27402 27570 36536 36760 45670 53302 54804 55140 68505 79953 91340 106604 109608 110280 132443 133255 137010 159906 182680 213208 264886 266510 274020 319812 397329 399765 529772 533020 548040 639624 662215 794658 799530 1059544 1066040 1324430 1589316 1599060 1986645 2648860 3178632 3198120 3973290 4197073 5297720 7946580 8394146 12591219 15893160 16788292 20985365 25182438 33576584 41970730 50364876 62956095 83941460 100729752 121715117 125912190 167882920 243430234 251824380 365145351 486860468 503648760 608575585 730290702 973720936 1217151170 1460581404 1825726755 2434302340 2921162808 3651453510 4868604680 7302907020 14605814040