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11757214204440 = 2335234259860219
BaseRepresentation
bin1010101100010111000010…
…0100111000001000011000
31112121222102110202210201020
42223011300210320020120
53020112233314020230
641001104543522440
72322300504546525
oct253056044701030
945558373683636
1011757214204440
11382322a9aa191
12139a7632b9420
13673915125423
142c90a336614c
15155c73633810
hexab170938218

11757214204440 has 64 divisors (see below), whose sum is σ = 36805192300800. Its totient is φ = 2998941593472.

The previous prime is 11757214204433. The next prime is 11757214204597. The reversal of 11757214204440 is 4440241275711.

It is a junction number, because it is equal to n+sod(n) for n = 11757214204392 and 11757214204401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2129927350 + ... + 2129932869.

It is an arithmetic number, because the mean of its divisors is an integer number (575081129700).

Almost surely, 211757214204440 is an apocalyptic number.

11757214204440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11757214204440 is an abundant number, since it is smaller than the sum of its proper divisors (25047978096360).

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

11757214204440 is a wasteful number, since it uses less digits than its factorization.

11757214204440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259860256 (or 4259860252 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The spelling of 11757214204440 in words is "eleven trillion, seven hundred fifty-seven billion, two hundred fourteen million, two hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 4259860219 8519720438 12779580657 17039440876 21299301095 25559161314 34078881752 42598602190 51118322628 63897903285 85197204380 97976785037 102236645256 127795806570 170394408760 195953570074 255591613140 293930355111 391907140148 489883925185 511183226280 587860710222 783814280296 979767850370 1175721420444 1469651775555 1959535700740 2351442840888 2939303551110 3919071401480 5878607102220 11757214204440