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14132333040 = 2435721201729
BaseRepresentation
bin11010010100101101…
…00100100111110000
31100110220110220101020
431022112210213300
5212420334124130
610254200535440
71010132564100
oct151226444760
940426426336
1014132333040
115aa2373a91
1228a4a81580
131442b63557
14980cc3200
1557aa72e10
hex34a5a49f0

14132333040 has 120 divisors (see below), whose sum is σ = 50962965840. Its totient is φ = 3230244864.

The previous prime is 14132333023. The next prime is 14132333123. The reversal of 14132333040 is 4033323141.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14132333040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589105 + ... + 612624.

It is an arithmetic number, because the mean of its divisors is an integer number (424691382).

Almost surely, 214132333040 is an apocalyptic number.

14132333040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14132333040 is an abundant number, since it is smaller than the sum of its proper divisors (36830632800).

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

14132333040 is a wasteful number, since it uses less digits than its factorization.

14132333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201759 (or 1201746 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 14132333040 its reverse (4033323141), we get a palindrome (18165656181).

The spelling of 14132333040 in words is "fourteen billion, one hundred thirty-two million, three hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 1201729 2403458 3605187 4806916 6008645 7210374 8412103 9613832 12017290 14420748 16824206 18025935 19227664 24034580 25236309 28841496 33648412 36051870 42060515 48069160 50472618 57682992 58884721 67296824 72103740 84121030 96138320 100945236 117769442 126181545 134593648 144207480 168242060 176654163 201890472 235538884 252363090 288414960 294423605 336484120 353308326 403780944 471077768 504726180 588847210 672968240 706616652 883270815 942155536 1009452360 1177694420 1413233304 1766541630 2018904720 2355388840 2826466608 3533083260 4710777680 7066166520 14132333040