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1344001434440 = 23575923810401
BaseRepresentation
bin10011100011101100101…
…110100110001101001000
311202111002202210220212012
4103203230232212031020
5134010003331400230
62505231543035052
7166046415461660
oct23435456461510
94674082726765
101344001434440
11478a95854145
1219858743ba88
139997b181292
144909b3611a0
1524e61d67395
hex138ecba6348

1344001434440 has 64 divisors (see below), whose sum is σ = 3456591442560. Its totient is φ = 460722124800.

The previous prime is 1344001434437. The next prime is 1344001434463. The reversal of 1344001434440 is 444341004431.

It is a super-2 number, since 2×13440014344402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1344001434397 and 1344001434406.

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, 1253240 + ... + 2063640.

It is an arithmetic number, because the mean of its divisors is an integer number (54009241290).

Almost surely, 21344001434440 is an apocalyptic number.

1344001434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344001434440 is an abundant number, since it is smaller than the sum of its proper divisors (2112590008120).

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

1344001434440 is a wasteful number, since it uses less digits than its factorization.

1344001434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816342 (or 816338 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 1344001434440 its reverse (444341004431), we get a palindrome (1788342438871).

The spelling of 1344001434440 in words is "one trillion, three hundred forty-four billion, one million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 5923 11846 23692 29615 41461 47384 59230 82922 118460 165844 207305 236920 331688 414610 810401 829220 1620802 1658440 3241604 4052005 5672807 6483208 8104010 11345614 16208020 22691228 28364035 32416040 45382456 56728070 113456140 226912280 4800005123 9600010246 19200020492 24000025615 33600035861 38400040984 48000051230 67200071722 96000102460 134400143444 168000179305 192000204920 268800286888 336000358610 672000717220 1344001434440