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14717003040 = 2532510220141
BaseRepresentation
bin11011011010011001…
…11010010100100000
31101222122122012211200
431231030322110200
5220120023044130
610432204241200
71030462314255
oct155514722440
941878565750
1014717003040
116272401233
122a28840200
13150702252c
149d87d942c
155b2063760
hex36d33a520

14717003040 has 72 divisors (see below), whose sum is σ = 50221777788. Its totient is φ = 3924533760.

The previous prime is 14717003017. The next prime is 14717003111. The reversal of 14717003040 is 4030071741.

It can be written as a sum of positive squares in 2 ways, for example, as 11848757904 + 2868245136 = 108852^2 + 53556^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 14717002995 and 14717003013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5108631 + ... + 5111510.

Almost surely, 214717003040 is an apocalyptic number.

14717003040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14717003040 is an abundant number, since it is smaller than the sum of its proper divisors (35504774748).

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

14717003040 is a wasteful number, since it uses less digits than its factorization.

14717003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10220162 (or 10220151 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 14717003040 its reverse (4030071741), we get a palindrome (18747074781).

The spelling of 14717003040 in words is "fourteen billion, seven hundred seventeen million, three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 10220141 20440282 30660423 40880564 51100705 61320846 81761128 91981269 102201410 122641692 153302115 163522256 183962538 204402820 245283384 306604230 327044512 367925076 408805640 459906345 490566768 613208460 735850152 817611280 919812690 981133536 1226416920 1471700304 1635222560 1839625380 2452833840 2943400608 3679250760 4905667680 7358501520 14717003040