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140675351980352 = 2671516101340849
BaseRepresentation
bin11111111111000110001000…
…011000100010100101000000
3200110002102200011010210210112
4133333012020120202211000
5121414311110101332402
61215105210423450452
741426313235304030
oct3777061030424500
9613072604123715
10140675351980352
1140907099880972
121393b9aa8b6a28
136065823541817
1426a4a1acad8c0
15113e44e74be52
hex7ff188622940

140675351980352 has 112 divisors (see below), whose sum is σ = 321197974214400. Its totient is φ = 59880176640000.

The previous prime is 140675351980349. The next prime is 140675351980379. The reversal of 140675351980352 is 253089153576041.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 140675351980291 and 140675351980300.

It is a congruent number.

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, 412550024 + ... + 412890872.

It is a 2-persistent number, because it is pandigital, and so is 2⋅140675351980352 = 281350703960704, but 3⋅140675351980352 = 422026055941056 is not.

Almost surely, 2140675351980352 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 140675351980352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160598987107200).

140675351980352 is an abundant number, since it is smaller than the sum of its proper divisors (180522622234048).

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

140675351980352 is a wasteful number, since it uses less digits than its factorization.

140675351980352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347120 (or 347110 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 59.

The spelling of 140675351980352 in words is "one hundred forty trillion, six hundred seventy-five billion, three hundred fifty-one million, nine hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 151 224 302 448 604 1057 1208 2114 2416 4228 4832 6101 8456 9664 12202 16912 24404 33824 42707 48808 67648 85414 97616 170828 195232 340849 341656 390464 681698 683312 921251 1363396 1366624 1842502 2385943 2726792 2733248 3685004 4771886 5453584 6448757 7370008 9543772 10907168 12897514 14740016 19087544 21814336 25795028 29480032 38175088 51468199 51590056 58960064 76350176 102936398 103180112 152700352 205872796 206360224 360277393 411745592 412720448 720554786 823491184 1441109572 1646982368 2079519749 2882219144 3293964736 4159039498 5764438288 8318078996 11528876576 14556638243 16636157992 23057753152 29113276486 33272315984 58226552972 66544631968 116453105944 133089263936 232906211888 314007482099 465812423776 628014964198 931624847552 1256029928396 2198052374693 2512059856792 4396104749386 5024119713584 8792209498772 10048239427168 17584418997544 20096478854336 35168837995088 70337675990176 140675351980352