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14053021331040 = 253353253014197
BaseRepresentation
bin1100110001111111100101…
…0110000010111001100000
31211202110022012220122102000
43030133321112002321200
53320221041430043130
645515511402124000
72650203653260446
oct314377126027140
954673265818360
1014053021331040
1145289421a843a
1216ab6a04b0600
137ac26a936403
14368254158b96
15195840b4c260
hexcc7f9582e60

14053021331040 has 96 divisors (see below), whose sum is σ = 49185574673760. Its totient is φ = 3747472353792.

The previous prime is 14053021331023. The next prime is 14053021331059. The reversal of 14053021331040 is 4013312035041.

It is a happy number.

14053021331040 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 302 + 1 + 3 + 310 + 40 = 666.

14053021331040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 14053021330995 and 14053021331013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1626502779 + ... + 1626511418.

It is an arithmetic number, because the mean of its divisors is an integer number (512349736185).

Almost surely, 214053021331040 is an apocalyptic number.

14053021331040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14053021331040 is an abundant number, since it is smaller than the sum of its proper divisors (35132553342720).

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

14053021331040 is a wasteful number, since it uses less digits than its factorization.

14053021331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253014221 (or 3253014207 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 14053021331040 its reverse (4013312035041), we get a palindrome (18066333366081).

The spelling of 14053021331040 in words is "fourteen trillion, fifty-three billion, twenty-one million, three hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 3253014197 6506028394 9759042591 13012056788 16265070985 19518085182 26024113576 29277127773 32530141970 39036170364 48795212955 52048227152 58554255546 65060283940 78072340728 87831383319 97590425910 104096454304 117108511092 130120567880 146385638865 156144681456 175662766638 195180851820 234217022184 260241135760 292771277730 312289362912 351325533276 390361703640 439156916595 468434044368 520482271520 585542555460 702651066552 780723407280 878313833190 936868088736 1171085110920 1405302133104 1561446814560 1756627666380 2342170221840 2810604266208 3513255332760 4684340443680 7026510665520 14053021331040