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14365007301440 = 265291547953373
BaseRepresentation
bin1101000100001001110100…
…1010000100101101000000
31212212021121001120001111202
43101002131022010231000
53340324013332121230
650315105424200332
73011560162255205
oct321023512045500
955767531501452
1014365007301440
1146391901436a4
12174004ba690a8
138027caa26aa3
143793ad0a5cac
1519da00709a45
hexd109d284b40

14365007301440 has 56 divisors (see below), whose sum is σ = 35386214129640. Its totient is φ = 5547864885248.

The previous prime is 14365007301439. The next prime is 14365007301443. The reversal of 14365007301440 is 4410370056341.

It can be written as a sum of positive squares in 4 ways, for example, as 1424929239616 + 12940078061824 = 1193704^2 + 3597232^2 .

It is a super-2 number, since 2×143650073014402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14365007301394 and 14365007301403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14365007301443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 773967407 + ... + 773985966.

Almost surely, 214365007301440 is an apocalyptic number.

14365007301440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14365007301440 is an abundant number, since it is smaller than the sum of its proper divisors (21021206828200).

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

14365007301440 is a wasteful number, since it uses less digits than its factorization.

14365007301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547953419 (or 1547953409 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

Adding to 14365007301440 its reverse (4410370056341), we get a palindrome (18775377357781).

The spelling of 14365007301440 in words is "fourteen trillion, three hundred sixty-five billion, seven million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 1547953373 3095906746 6191813492 7739766865 12383626984 15479533730 24767253968 30959067460 44890647817 49534507936 61918134920 89781295634 99069015872 123836269840 179562591268 224453239085 247672539680 359125182536 448906478170 495345079360 718250365072 897812956340 1436500730144 1795625912680 2873001460288 3591251825360 7182503650720 14365007301440