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14022330041440 = 255797129071521
BaseRepresentation
bin1100110000001101010000…
…0000000100010001100000
31211122112002021211120222101
43030003110000010101200
53314220212442311230
645453434113220144
72645036260516150
oct314032400042140
954575067746871
1014022330041440
114516922824296
1216a5755b61654
137a93b9291816
14366981da2760
15194b464c1aca
hexcc0d4004460

14022330041440 has 96 divisors (see below), whose sum is σ = 38250603687744. Its totient is φ = 4758092513280.

The previous prime is 14022330041429. The next prime is 14022330041453. The reversal of 14022330041440 is 4414003322041.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14022330041399 and 14022330041408.

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, 64427121 + ... + 64644400.

It is an arithmetic number, because the mean of its divisors is an integer number (398443788414).

Almost surely, 214022330041440 is an apocalyptic number.

14022330041440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14022330041440 is an abundant number, since it is smaller than the sum of its proper divisors (24228273646304).

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

14022330041440 is a wasteful number, since it uses less digits than its factorization.

14022330041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129071640 (or 129071632 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14022330041440 its reverse (4414003322041), we get a palindrome (18436333363481).

The spelling of 14022330041440 in words is "fourteen trillion, twenty-two billion, three hundred thirty million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 97 112 140 160 194 224 280 388 485 560 679 776 970 1120 1358 1552 1940 2716 3104 3395 3880 5432 6790 7760 10864 13580 15520 21728 27160 54320 108640 129071521 258143042 516286084 645357605 903500647 1032572168 1290715210 1807001294 2065144336 2581430420 3614002588 4130288672 4517503235 5162860840 7228005176 9035006470 10325721680 12519937537 14456010352 18070012940 20651443360 25039875074 28912020704 36140025880 50079750148 62599687685 72280051760 87639562759 100159500296 125199375370 144560103520 175279125518 200319000592 250398750740 350558251036 400638001184 438197813795 500797501480 701116502072 876395627590 1001595002960 1402233004144 1752791255180 2003190005920 2804466008288 3505582510360 7011165020720 14022330041440