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140168448 = 283372897
BaseRepresentation
bin10000101101011…
…00110100000000
3100202202021222000
420112230310000
5241340342243
621524144000
73321261240
oct1026546400
9322667860
10140168448
11721376a2
123ab38000
1323068c14
1414889b20
15c48b5d3
hex85acd00

140168448 has 144 divisors (see below), whose sum is σ = 473880960. Its totient is φ = 40034304.

The previous prime is 140168443. The next prime is 140168461. The reversal of 140168448 is 844861041.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140168443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46936 + ... + 49832.

It is an arithmetic number, because the mean of its divisors is an integer number (3290840).

Almost surely, 2140168448 is an apocalyptic number.

140168448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140168448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236940480).

140168448 is an abundant number, since it is smaller than the sum of its proper divisors (333712512).

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

140168448 is an equidigital number, since it uses as much as digits as its factorization.

140168448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 140168448 is about 11839.2756535187. The cubic root of 140168448 is about 519.4575803474.

The spelling of 140168448 in words is "one hundred forty million, one hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 2897 3024 3456 4032 5376 5794 6048 6912 8064 8691 11588 12096 16128 17382 20279 23176 24192 26073 34764 40558 46352 48384 52146 60837 69528 78219 81116 92704 104292 121674 139056 156438 162232 182511 185408 208584 243348 278112 312876 324464 365022 370816 417168 486696 547533 556224 625752 648928 730044 741632 834336 973392 1095066 1112448 1251504 1297856 1460088 1668672 1946784 2190132 2224896 2503008 2595712 2920176 3337344 3893568 4380264 5006016 5191424 5840352 6674688 7787136 8760528 10012032 11680704 15574272 17521056 20024064 23361408 35042112 46722816 70084224 140168448