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234402231414 = 231329138175037
BaseRepresentation
bin1101101001001101110…
…1100011010001110110
3211102000220011010002110
43122103131203101312
512320023432401124
6255403301151450
722635464043531
oct3322335432166
9742026133073
10234402231414
1190455a4890a
12395189bb586
1319147748b20
14b4b9065a18
15616d7c8029
hex3693763476

234402231414 has 64 divisors (see below), whose sum is σ = 522660680640. Its totient is φ = 69585384960.

The previous prime is 234402231407. The next prime is 234402231419. The reversal of 234402231414 is 414132204432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234402231419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3086304 + ... + 3161340.

It is an arithmetic number, because the mean of its divisors is an integer number (8166573135).

Almost surely, 2234402231414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234402231414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261330340320).

234402231414 is an abundant number, since it is smaller than the sum of its proper divisors (288258449226).

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

234402231414 is a wasteful number, since it uses less digits than its factorization.

234402231414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76465.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 234402231414 its reverse (414132204432), we get a palindrome (648534435846).

The spelling of 234402231414 in words is "two hundred thirty-four billion, four hundred two million, two hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 754 1131 1381 2262 2762 4143 8286 17953 35906 40049 53859 75037 80098 107718 120147 150074 225111 240294 450222 520637 975481 1041274 1561911 1950962 2176073 2926443 3123822 4352146 5852886 6528219 13056438 28288949 56577898 84866847 103626097 169733694 207252194 310878291 621756582 1347139261 2694278522 3005156813 4041417783 6010313626 8082835566 9015470439 18030940878 39067038569 78134077138 117201115707 234402231414