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140631351552 = 283347432893
BaseRepresentation
bin1000001011111001001…
…0000010000100000000
3111102222211200212021000
42002332102002010000
54301003111222202
6144334413532000
713105655523246
oct2027622020400
9442884625230
10140631351552
115470680598a
12233091a4000
1310352616ab3
146b41416796
1539d138391c
hex20be482100

140631351552 has 144 divisors (see below), whose sum is σ = 424720961280. Its totient is φ = 45879625728.

The previous prime is 140631351527. The next prime is 140631351587. The reversal of 140631351552 is 255153136041.

140631351552 is a `hidden beast` number, since 1 + 4 + 0 + 631 + 3 + 5 + 15 + 5 + 2 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108418 + ... + 541310.

It is an arithmetic number, because the mean of its divisors is an integer number (2949451120).

Almost surely, 2140631351552 is an apocalyptic number.

140631351552 is a gapful number since it is divisible by the number (12) 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 140631351552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212360480640).

140631351552 is an abundant number, since it is smaller than the sum of its proper divisors (284089609728).

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

140631351552 is an equidigital number, since it uses as much as digits as its factorization.

140631351552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432965 (or 432945 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 140631351552 its reverse (255153136041), we get a palindrome (395784487593).

The spelling of 140631351552 in words is "one hundred forty billion, six hundred thirty-one million, three hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 188 192 216 256 282 288 376 384 423 432 564 576 752 768 846 864 1128 1152 1269 1504 1692 1728 2256 2304 2538 3008 3384 3456 4512 5076 6016 6768 6912 9024 10152 12032 13536 18048 20304 27072 36096 40608 54144 81216 108288 162432 324864 432893 865786 1298679 1731572 2597358 3463144 3896037 5194716 6926288 7792074 10389432 11688111 13852576 15584148 20345971 20778864 23376222 27705152 31168296 40691942 41557728 46752444 55410304 61037913 62336592 81383884 83115456 93504888 110820608 122075826 124673184 162767768 166230912 183113739 187009776 244151652 249346368 325535536 332461824 366227478 374019552 488303304 498692736 549341217 651071072 732454956 748039104 976606608 997385472 1098682434 1302142144 1464909912 1496078208 1953213216 2197364868 2604284288 2929819824 2992156416 3906426432 4394729736 5208568576 5859639648 7812852864 8789459472 11719279296 15625705728 17578918944 23438558592 35157837888 46877117184 70315675776 140631351552