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140185344 = 2831319739
BaseRepresentation
bin10000101101100…
…00111100000000
3100202210011010210
420112300330000
5241341412334
621524354120
73321361425
oct1026607400
9322704123
10140185344
1172149362
123ab45940
1323073810
1414891d4c
15c4915e9
hex85b0f00

140185344 has 144 divisors (see below), whose sum is σ = 423516800. Its totient is φ = 40808448.

The previous prime is 140185337. The next prime is 140185361. The reversal of 140185344 is 443581041.

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, 189327 + ... + 190065.

Almost surely, 2140185344 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 140185344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211758400).

140185344 is an abundant number, since it is smaller than the sum of its proper divisors (283331456).

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

140185344 is a wasteful number, since it uses less digits than its factorization.

140185344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 140185344 is about 11839.9891891843. The cubic root of 140185344 is about 519.4784514321.

The spelling of 140185344 in words is "one hundred forty million, one hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 304 312 384 416 456 494 608 624 739 741 768 832 912 988 1216 1248 1478 1482 1664 1824 1976 2217 2432 2496 2956 2964 3328 3648 3952 4434 4864 4992 5912 5928 7296 7904 8868 9607 9984 11824 11856 14041 14592 15808 17736 19214 23648 23712 28082 28821 31616 35472 38428 42123 47296 47424 56164 57642 63232 70944 76856 84246 94592 94848 112328 115284 141888 153712 168492 182533 189184 189696 224656 230568 283776 307424 336984 365066 449312 461136 547599 567552 614848 673968 730132 898624 922272 1095198 1229696 1347936 1460264 1797248 1844544 2190396 2459392 2695872 2920528 3594496 3689088 4380792 5391744 5841056 7378176 8761584 10783488 11682112 17523168 23364224 35046336 46728448 70092672 140185344