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201414143520 = 253251063913147
BaseRepresentation
bin1011101110010100110…
…1111110111000100000
3201020212220020121201100
42323211031332320200
511244444010043040
6232310044034400
720360141654262
oct2734515767040
9636786217640
10201414143520
1178468040157
1233051232a00
1315cbb2b04a5
149a69c35b32
15538c6aeb30
hex2ee537ee20

201414143520 has 144 divisors (see below), whose sum is σ = 687442654080. Its totient is φ = 53701304832.

The previous prime is 201414143503. The next prime is 201414143551. The reversal of 201414143520 is 25341414102.

201414143520 is a `hidden beast` number, since 20 + 1 + 41 + 41 + 43 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 15313587 + ... + 15326733.

It is an arithmetic number, because the mean of its divisors is an integer number (4773907320).

Almost surely, 2201414143520 is an apocalyptic number.

201414143520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201414143520 is an abundant number, since it is smaller than the sum of its proper divisors (486028510560).

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

201414143520 is a wasteful number, since it uses less digits than its factorization.

201414143520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23807 (or 23796 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 201414143520 its reverse (25341414102), we get a palindrome (226755557622).

The spelling of 201414143520 in words is "two hundred one billion, four hundred fourteen million, one hundred forty-three thousand, five hundred twenty".

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 10639 13147 21278 26294 31917 39441 42556 52588 53195 63834 65735 78882 85112 95751 105176 106390 118323 127668 131470 157764 159585 170224 191502 197205 210352 212780 236646 255336 262940 315528 319170 340448 383004 394410 420704 425560 473292 478755 510672 525880 591615 631056 638340 766008 788820 851120 946584 957510 1021344 1051760 1183230 1262112 1276680 1532016 1577640 1702240 1893168 1915020 2103520 2366460 2553360 3064032 3155280 3786336 3830040 4732920 5106720 6310560 7660080 9465840 15320160 18931680 139870933 279741866 419612799 559483732 699354665 839225598 1118967464 1258838397 1398709330 1678451196 2098063995 2237934928 2517676794 2797418660 3356902392 4196127990 4475869856 5035353588 5594837320 6294191985 6713804784 8392255980 10070707176 11189674640 12588383970 13427609568 16784511960 20141414352 22379349280 25176767940 33569023920 40282828704 50353535880 67138047840 100707071760 201414143520