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1345533253440 = 26356412186579
BaseRepresentation
bin10011100101001000000…
…010000001011101000000
311202122001112012101111020
4103211020002001131000
5134021123003102230
62510043543145440
7166132365642405
oct23451002013500
94678045171436
101345533253440
11479701497462
12198934445280
1399b6363445c
14491a49882ac
1525001599810
hex13948081740

1345533253440 has 112 divisors (see below), whose sum is σ = 4278734729280. Its totient is φ = 358248939520.

The previous prime is 1345533253373. The next prime is 1345533253451. The reversal of 1345533253440 is 443523355431.

It is a super-2 number, since 2×13455332534402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1345533253392 and 1345533253401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477930 + ... + 1708649.

Almost surely, 21345533253440 is an apocalyptic number.

1345533253440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345533253440 is an abundant number, since it is smaller than the sum of its proper divisors (2933201475840).

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

1345533253440 is a wasteful number, since it uses less digits than its factorization.

1345533253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187240 (or 2187230 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 42.

The spelling of 1345533253440 in words is "one trillion, three hundred forty-five billion, five hundred thirty-three million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 641 960 1282 1923 2564 3205 3846 5128 6410 7692 9615 10256 12820 15384 19230 20512 25640 30768 38460 41024 51280 61536 76920 102560 123072 153840 205120 307680 615360 2186579 4373158 6559737 8746316 10932895 13119474 17492632 21865790 26238948 32798685 34985264 43731580 52477896 65597370 69970528 87463160 104955792 131194740 139941056 174926320 209911584 262389480 349852640 419823168 524778960 699705280 1049557920 1401597139 2099115840 2803194278 4204791417 5606388556 7007985695 8409582834 11212777112 14015971390 16819165668 21023957085 22425554224 28031942780 33638331336 42047914170 44851108448 56063885560 67276662672 84095828340 89702216896 112127771120 134553325344 168191656680 224255542240 269106650688 336383313360 448511084480 672766626720 1345533253440