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140423353344 = 21032100915101
BaseRepresentation
bin1000001011000111100…
…0100101010000000000
3111102110100022110100200
42002301320211100000
54300041334301334
6144302023445200
713100551544421
oct2026170452000
9442410273320
10140423353344
115460a35a83a
122326b5b6800
131031b4bc131
146b21951648
1539bce99799
hex20b1e25400

140423353344 has 132 divisors (see below), whose sum is σ = 405898115220. Its totient is φ = 46758297600.

The previous prime is 140423353289. The next prime is 140423353351. The reversal of 140423353344 is 443353324041.

It is a happy number.

140423353344 is a `hidden beast` number, since 1 + 40 + 42 + 3 + 3 + 533 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29134393344 + 111288960000 = 170688^2 + 333600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140423353299 and 140423353308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9291394 + ... + 9306494.

Almost surely, 2140423353344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140423353344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202949057610).

140423353344 is an abundant number, since it is smaller than the sum of its proper divisors (265474761876).

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

140423353344 is a wasteful number, since it uses less digits than its factorization.

140423353344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16136 (or 16115 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 140423353344 its reverse (443353324041), we get a palindrome (583776677385).

The spelling of 140423353344 in words is "one hundred forty billion, four hundred twenty-three million, three hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1009 1024 1152 1536 2018 2304 3027 3072 4036 4608 6054 8072 9081 9216 12108 15101 16144 18162 24216 30202 32288 36324 45303 48432 60404 64576 72648 90606 96864 120808 129152 135909 145296 181212 193728 241616 258304 271818 290592 362424 387456 483232 516608 543636 581184 724848 774912 966464 1033216 1087272 1162368 1449696 1549824 1932928 2174544 2324736 2899392 3099648 3865856 4349088 4649472 5798784 7731712 8698176 9298944 11597568 15236909 15463424 17396352 23195136 30473818 34792704 45710727 46390272 60947636 69585408 91421454 121895272 137132181 139170816 182842908 243790544 274264362 365685816 487581088 548528724 731371632 975162176 1097057448 1462743264 1950324352 2194114896 2925486528 3900648704 4388229792 5850973056 7801297408 8776459584 11701946112 15602594816 17552919168 23403892224 35105838336 46807784448 70211676672 140423353344