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140411412 = 223223273101
BaseRepresentation
bin10000101111010…
…00001000010100
3100210012122020200
420113220020110
5241421131122
621533300500
73323322501
oct1027501024
9323178220
10140411412
1172293199
123b034730
132312269b
14149104a8
15c4d85ac
hex85e8214

140411412 has 108 divisors (see below), whose sum is σ = 379838004. Its totient is φ = 43718400.

The previous prime is 140411399. The next prime is 140411413. The reversal of 140411412 is 214114041.

It can be written as a sum of positive squares in 2 ways, for example, as 112911876 + 27499536 = 10626^2 + 5244^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140411413) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1390162 + ... + 1390262.

Almost surely, 2140411412 is an apocalyptic number.

140411412 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 140411412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189919002).

140411412 is an abundant number, since it is smaller than the sum of its proper divisors (239426592).

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

140411412 is a wasteful number, since it uses less digits than its factorization.

140411412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 140411412 is about 11849.5321426628. The cubic root of 140411412 is about 519.7575447613.

Adding to 140411412 its reverse (214114041), we get a palindrome (354525453).

The spelling of 140411412 in words is "one hundred forty million, four hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 73 92 101 138 146 202 207 219 276 292 303 404 414 438 529 606 657 828 876 909 1058 1212 1314 1587 1679 1818 2116 2323 2628 3174 3358 3636 4646 4761 5037 6348 6716 6969 7373 9292 9522 10074 13938 14746 15111 19044 20148 20907 22119 27876 29492 30222 38617 41814 44238 53429 60444 66357 77234 83628 88476 106858 115851 132714 154468 160287 169579 213716 231702 265428 320574 339158 347553 463404 480861 508737 641148 678316 695106 961722 1017474 1390212 1526211 1923444 2034948 3052422 3900317 6104844 7800634 11700951 15601268 23401902 35102853 46803804 70205706 140411412