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140667003136 = 2811221312
BaseRepresentation
bin1000001100000001101…
…0000010000100000000
3111110002022210011001001
42003000122002010000
54301041223100021
6144342130021344
713106600540602
oct2030032020400
9443068704031
10140667003136
1154724946500
1223319117854
1310359b1a2ca
146b46057172
1539d4577091
hex20c0682100

140667003136 has 81 divisors (see below), whose sum is σ = 308775822159. Its totient is φ = 63909542400.

The previous prime is 140667003133. The next prime is 140667003137. The reversal of 140667003136 is 631300766041.

It is a happy number.

The square root of 140667003136 is 375056.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 140667003095 and 140667003104.

It is not an unprimeable number, because it can be changed into a prime (140667003131) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 66008791 + ... + 66010921.

Almost surely, 2140667003136 is an apocalyptic number.

140667003136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

140667003136 is the 375056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140667003136

140667003136 is an abundant number, since it is smaller than the sum of its proper divisors (168108819023).

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

140667003136 is an frugal number, since it uses more digits than its factorization.

140667003136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

Adding to 140667003136 its reverse (631300766041), we get a palindrome (771967769177).

The spelling of 140667003136 in words is "one hundred forty billion, six hundred sixty-seven million, three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2131 2816 3872 4262 7744 8524 15488 17048 23441 30976 34096 46882 68192 93764 136384 187528 257851 272768 375056 515702 545536 750112 1031404 1500224 2062808 3000448 4125616 4541161 6000896 8251232 9082322 16502464 18164644 33004928 36329288 49952771 66009856 72658576 99905542 145317152 199811084 290634304 399622168 549480481 581268608 799244336 1098960962 1162537216 1598488672 2197921924 3196977344 4395843848 6393954688 8791687696 12787909376 17583375392 35166750784 70333501568 140667003136