Search a number
-
+
32140431240414 = 2374752837308153
BaseRepresentation
bin1110100111011010001101…
…11111001010110011011110
311012210121001220200202211120
413103231012333022303132
513203042100344143124
6152205035453031410
76525032563631250
oct723550677126336
9135717056622746
1032140431240414
11a271753599312
123731045485566
1314c1aa29c4643
147d1868841cd0
153ab0a67acd79
hex1d3b46fcacde

32140431240414 has 64 divisors (see below), whose sum is σ = 75028566767616. Its totient is φ = 8987398527744.

The previous prime is 32140431240371. The next prime is 32140431240433. The reversal of 32140431240414 is 41404213404123.

It is a happy number.

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, 104146162 + ... + 104454314.

It is an arithmetic number, because the mean of its divisors is an integer number (1172321355744).

Almost surely, 232140431240414 is an apocalyptic number.

32140431240414 is an abundant number, since it is smaller than the sum of its proper divisors (42888135527202).

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

32140431240414 is a wasteful number, since it uses less digits than its factorization.

32140431240414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361049.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 32140431240414 its reverse (41404213404123), we get a palindrome (73544644644537).

The spelling of 32140431240414 in words is "thirty-two trillion, one hundred forty billion, four hundred thirty-one million, two hundred forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1974 52837 105674 158511 308153 317022 369859 616306 739718 924459 1109577 1848918 2157071 2219154 2483339 4314142 4966678 6471213 7450017 12942426 14483191 14900034 17383373 28966382 34766746 43449573 52150119 86899146 101382337 104300238 202764674 304147011 608294022 16281880061 32563760122 48845640183 97691280366 113973160427 227946320854 341919481281 683838962562 765248362867 1530496725734 2295745088601 4591490177202 5356738540069 10713477080138 16070215620207 32140431240414