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140446944 = 253211431031
BaseRepresentation
bin10000101111100…
…00110011100000
3100210021102222200
420113300303200
5241423300234
621534133200
73323531211
oct1027606340
9323242880
10140446944
1172307960
123b051200
1323135901
141491d408
15c4e3d99
hex85f0ce0

140446944 has 144 divisors (see below), whose sum is σ = 446269824. Its totient is φ = 41529600.

The previous prime is 140446939. The next prime is 140446973. The reversal of 140446944 is 449644041.

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 junction number, because it is equal to n+sod(n) for n = 140446899 and 140446908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135709 + ... + 136739.

It is an arithmetic number, because the mean of its divisors is an integer number (3099096).

Almost surely, 2140446944 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 140446944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223134912).

140446944 is an abundant number, since it is smaller than the sum of its proper divisors (305822880).

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

140446944 is a wasteful number, since it uses less digits than its factorization.

140446944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 140446944 is about 11851.0313475241. The cubic root of 140446944 is about 519.8013837134.

The spelling of 140446944 in words is "one hundred forty million, four hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 43 44 48 66 72 86 88 96 99 129 132 144 172 176 198 258 264 288 344 352 387 396 473 516 528 688 774 792 946 1031 1032 1056 1376 1419 1548 1584 1892 2062 2064 2838 3093 3096 3168 3784 4124 4128 4257 5676 6186 6192 7568 8248 8514 9279 11341 11352 12372 12384 15136 16496 17028 18558 22682 22704 24744 32992 34023 34056 37116 44333 45364 45408 49488 68046 68112 74232 88666 90728 98976 102069 132999 136092 136224 148464 177332 181456 204138 265998 272184 296928 354664 362912 398997 408276 487663 531996 544368 709328 797994 816552 975326 1063992 1088736 1418656 1462989 1595988 1633104 1950652 2127984 2925978 3191976 3266208 3901304 4255968 4388967 5851956 6383952 7802608 8777934 11703912 12767904 15605216 17555868 23407824 35111736 46815648 70223472 140446944