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40144244020352 = 272634615474729
BaseRepresentation
bin10010010000010110011110…
…11001111001010010000000
312021010202022101111110111122
421020023033121321102000
520230210402432122402
6221214002222131412
711312216535015143
oct1110131731712200
9167122271443448
1040144244020352
111187809521154a
124604282120b68
1319527804a8bb4
149cadc561c05a
1549939d315ca2
hex2482cf679480

40144244020352 has 128 divisors (see below), whose sum is σ = 80617213353600. Its totient is φ = 19911739760640.

The previous prime is 40144244020301. The next prime is 40144244020373. The reversal of 40144244020352 is 25302044244104.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×401442440203522 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8488947524 + ... + 8488952252.

It is an arithmetic number, because the mean of its divisors is an integer number (629821979325).

Almost surely, 240144244020352 is an apocalyptic number.

It is an amenable number.

40144244020352 is an abundant number, since it is smaller than the sum of its proper divisors (40472969333248).

40144244020352 is a wasteful number, since it uses less digits than its factorization.

40144244020352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6014 (or 6002 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 40144244020352 its reverse (25302044244104), we get a palindrome (65446288264456).

The spelling of 40144244020352 in words is "forty trillion, one hundred forty-four billion, two hundred forty-four million, twenty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 263 461 526 547 922 1052 1094 1844 2104 2188 3688 4208 4376 4729 7376 8416 8752 9458 14752 16832 17504 18916 29504 33664 35008 37832 59008 70016 75664 121243 143861 151328 242486 252167 287722 302656 484972 504334 575444 605312 969944 1008668 1150888 1243727 1939888 2017336 2180069 2301776 2487454 2586763 3879776 4034672 4360138 4603552 4974908 5173526 7759552 8069344 8720276 9207104 9949816 10347052 15519104 16138688 17440552 18414208 19899632 20694104 32277376 34881104 39799264 41388208 66319921 69762208 79598528 82776416 132639842 139524416 159197056 165552832 265279684 279048832 331105664 530559368 573358147 680318669 1061118736 1146716294 1192497743 1360637338 2122237472 2293432588 2384995486 2721274676 4244474944 4586865176 4769990972 5442549352 8488949888 9173730352 9539981944 10885098704 18347460704 19079963888 21770197408 36694921408 38159927776 43540394816 73389842816 76319855552 87080789632 152639711104 313626906409 627253812818 1254507625636 2509015251272 5018030502544 10036061005088 20072122010176 40144244020352