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14540504040 = 2332541985129
BaseRepresentation
bin11011000101010111…
…00111101111101000
31101112100112010201200
431202223213233220
5214234332112130
610402501244200
71023220150026
oct154253475750
941470463650
1014540504040
11619180a997
122999703660
1314a95a605a
149bd1b3716
155a17ec760
hex362ae7be8

14540504040 has 96 divisors (see below), whose sum is σ = 48409288200. Its totient is φ = 3782891520.

The previous prime is 14540504023. The next prime is 14540504047. The reversal of 14540504040 is 4040504541.

It can be written as a sum of positive squares in 4 ways, for example, as 2901115044 + 11639388996 = 53862^2 + 107886^2 .

It is a super-2 number, since 2×145405040402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14540503995 and 14540504013.

It is not an unprimeable number, because it can be changed into a prime (14540504047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477805 + ... + 507324.

Almost surely, 214540504040 is an apocalyptic number.

14540504040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14540504040 is an abundant number, since it is smaller than the sum of its proper divisors (33868784160).

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

14540504040 is a wasteful number, since it uses less digits than its factorization.

14540504040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985187 (or 985180 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 14540504040 in words is "fourteen billion, five hundred forty million, five hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 985129 1970258 2955387 3940516 4925645 5910774 7881032 8866161 9851290 11821548 14776935 17732322 19702580 23643096 29553870 35464644 39405160 40390289 44330805 59107740 70929288 80780578 88661610 118215480 121170867 161561156 177323220 201951445 242341734 323122312 354646440 363512601 403902890 484683468 605854335 727025202 807805780 969366936 1211708670 1454050404 1615611560 1817563005 2423417340 2908100808 3635126010 4846834680 7270252020 14540504040