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214011433140 = 223536739724481
BaseRepresentation
bin1100011101010000010…
…0110101000010110100
3202110101211021020101120
43013110010311002310
512001243411330030
6242152051423540
721314255111211
oct3072404650264
9673354236346
10214011433140
118284196930a
1235587bb4bb0
131724810200b
14a502cd2b08
1558785b5010
hex31d41350b4

214011433140 has 96 divisors (see below), whose sum is σ = 602402916864. Its totient is φ = 56768532480.

The previous prime is 214011433121. The next prime is 214011433159. The reversal of 214011433140 is 41334110412.

It is an interprime number because it is at equal distance from previous prime (214011433121) and next prime (214011433159).

It is a self number, because there is not a number n which added to its sum of digits gives 214011433140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8729700 + ... + 8754180.

It is an arithmetic number, because the mean of its divisors is an integer number (6275030384).

Almost surely, 2214011433140 is an apocalyptic number.

214011433140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214011433140 is an abundant number, since it is smaller than the sum of its proper divisors (388391483724).

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

214011433140 is a wasteful number, since it uses less digits than its factorization.

214011433140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25257 (or 25255 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 214011433140 its reverse (41334110412), we get a palindrome (255345543552).

It can be divided in two parts, 21401 and 1433140, that added together give a palindrome (1454541).

The spelling of 214011433140 in words is "two hundred fourteen billion, eleven million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 367 397 734 794 1101 1191 1468 1588 1835 1985 2202 2382 3670 3970 4404 4764 5505 5955 7340 7940 11010 11910 22020 23820 24481 48962 73443 97924 122405 145699 146886 244810 291398 293772 367215 437097 489620 582796 728495 734430 874194 1456990 1468860 1748388 2185485 2913980 4370970 8741940 8984527 9718957 17969054 19437914 26953581 29156871 35938108 38875828 44922635 48594785 53907162 58313742 89845270 97189570 107814324 116627484 134767905 145784355 179690540 194379140 269535810 291568710 539071620 583137420 3566857219 7133714438 10700571657 14267428876 17834286095 21401143314 35668572190 42802286628 53502858285 71337144380 107005716570 214011433140