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140809344 = 2731367421
BaseRepresentation
bin10000110010010…
…01010010000000
3100210221212002220
420121021102000
5242021344334
621550011040
73326600604
oct1031112200
9323855086
10140809344
1172535165
123b1a6a80
1323231850
14149b5504
15c566449
hex8649480

140809344 has 128 divisors (see below), whose sum is σ = 409778880. Its totient is φ = 42577920.

The previous prime is 140809327. The next prime is 140809387. The reversal of 140809344 is 443908041.

It is a happy number.

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

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, 334254 + ... + 334674.

Almost surely, 2140809344 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 140809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204889440).

140809344 is an abundant number, since it is smaller than the sum of its proper divisors (268969536).

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

140809344 is a wasteful number, since it uses less digits than its factorization.

140809344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 140809344 is about 11866.3113055406. The cubic root of 140809344 is about 520.2480867497.

The spelling of 140809344 in words is "one hundred forty million, eight hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 67 78 96 104 128 134 156 192 201 208 268 312 384 402 416 421 536 624 804 832 842 871 1072 1248 1263 1608 1664 1684 1742 2144 2496 2526 2613 3216 3368 3484 4288 4992 5052 5226 5473 6432 6736 6968 8576 10104 10452 10946 12864 13472 13936 16419 20208 20904 21892 25728 26944 27872 28207 32838 40416 41808 43784 53888 55744 56414 65676 80832 83616 84621 87568 111488 112828 131352 161664 167232 169242 175136 225656 262704 334464 338484 350272 366691 451312 525408 676968 700544 733382 902624 1050816 1100073 1353936 1466764 1805248 2101632 2200146 2707872 2933528 3610496 4400292 5415744 5867056 8800584 10831488 11734112 17601168 23468224 35202336 46936448 70404672 140809344