Search a number
-
+
40234141314 = 23697284489
BaseRepresentation
bin100101011110001001…
…000100011010000010
310211211222122011000000
4211132021010122002
51124344420010224
630252221140430
72623016362353
oct453611043202
9124758564000
1040234141314
111607713a964
12796a3ba716
133a42731813
141d39719d2a
1510a73370c9
hex95e244682

40234141314 has 56 divisors (see below), whose sum is σ = 91418585580. Its totient is φ = 13273072128.

The previous prime is 40234141309. The next prime is 40234141351. The reversal of 40234141314 is 41314143204.

40234141314 is a `hidden beast` number, since 4 + 0 + 2 + 341 + 4 + 1 + 314 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36017587089 + 4216554225 = 189783^2 + 64935^2 .

It is a super-2 number, since 2×402341413142 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 819 + ... + 283670.

Almost surely, 240234141314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40234141314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45709292790).

40234141314 is an abundant number, since it is smaller than the sum of its proper divisors (51184444266).

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

40234141314 is an equidigital number, since it uses as much as digits as its factorization.

40234141314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284606 (or 284591 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 40234141314 its reverse (41314143204), we get a palindrome (81548284518).

The spelling of 40234141314 in words is "forty billion, two hundred thirty-four million, one hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 243 291 486 582 729 873 1458 1746 2619 5238 7857 15714 23571 47142 70713 141426 284489 568978 853467 1706934 2560401 5120802 7681203 15362406 23043609 27595433 46087218 55190866 69130827 82786299 138261654 165572598 207392481 248358897 414784962 496717794 745076691 1490153382 2235230073 4470460146 6705690219 13411380438 20117070657 40234141314