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14540732010 = 2345713718719
BaseRepresentation
bin11011000101011000…
…11111011001101010
31101112100221201110000
431202230133121222
5214234411411020
610402510203430
71023222116460
oct154254373152
941470851400
1014540732010
1161919561a2
1229997b3576
1314a9655a4c
149bd232830
155a1845090
hex362b1f66a

14540732010 has 160 divisors (see below), whose sum is σ = 45012464640. Its totient is φ = 3299159808.

The previous prime is 14540731993. The next prime is 14540732023. The reversal of 14540732010 is 1023704541.

14540732010 is a `hidden beast` number, since 1 + 454 + 0 + 7 + 3 + 201 + 0 = 666.

It is a super-2 number, since 2×145407320102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 767431 + ... + 786149.

It is an arithmetic number, because the mean of its divisors is an integer number (281327904).

Almost surely, 214540732010 is an apocalyptic number.

14540732010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14540732010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22506232320).

14540732010 is an abundant number, since it is smaller than the sum of its proper divisors (30471732630).

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

14540732010 is a wasteful number, since it uses less digits than its factorization.

14540732010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18882 (or 18873 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 14540732010 in words is "fourteen billion, five hundred forty million, seven hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 137 162 189 210 270 274 315 378 405 411 567 630 685 810 822 945 959 1134 1233 1370 1890 1918 2055 2466 2835 2877 3699 4110 4795 5670 5754 6165 7398 8631 9590 11097 12330 14385 17262 18495 18719 22194 25893 28770 36990 37438 43155 51786 55485 56157 77679 86310 93595 110970 112314 129465 131033 155358 168471 187190 258930 262066 280785 336942 388395 393099 505413 561570 655165 776790 786198 842355 1010826 1179297 1310330 1516239 1684710 1965495 2358594 2527065 2564503 3032478 3537891 3930990 5054130 5129006 5896485 7075782 7581195 7693509 10613673 11792970 12822515 15162390 15387018 17689455 17951521 21227346 23080527 25645030 35378910 35903042 38467545 46161054 53068365 53854563 69241581 76935090 89757605 106136730 107709126 115402635 138483162 161563689 179515210 207724743 230805270 269272815 323127378 346207905 415449486 484691067 538545630 692415810 807818445 969382134 1038623715 1454073201 1615636890 2077247430 2423455335 2908146402 4846910670 7270366005 14540732010