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4002224402214 = 23223431283175229
BaseRepresentation
bin111010001111010111001…
…010011110111100100110
3112011121102220022001010100
4322033113022132330212
51011033023421332324
612302332502404530
7562102565054553
oct72172712367446
915147386261110
104002224402214
111303374378a05
125477a8a30746
1323053c8c216c
14db9cc92da2a
156e1913e74c9
hex3a3d729ef26

4002224402214 has 96 divisors (see below), whose sum is σ = 9266207258880. Its totient is φ = 1245416889024.

The previous prime is 4002224402179. The next prime is 4002224402221. The reversal of 4002224402214 is 4122044222004.

4002224402214 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 2 + 2 + 440 + 2 + 214 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22752352 + ... + 22927580.

It is an arithmetic number, because the mean of its divisors is an integer number (96522992280).

Almost surely, 24002224402214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002224402214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633103629440).

4002224402214 is an abundant number, since it is smaller than the sum of its proper divisors (5263982856666).

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

4002224402214 is a wasteful number, since it uses less digits than its factorization.

4002224402214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176586 (or 176583 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4002224402214 its reverse (4122044222004), we get a palindrome (8124268624218).

The spelling of 4002224402214 in words is "four trillion, two billion, two hundred twenty-four million, four hundred two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 23 43 46 69 86 129 138 207 258 387 414 774 989 1283 1978 2566 2967 3849 5934 7698 8901 11547 17802 23094 29509 55169 59018 88527 110338 165507 175229 177054 265581 331014 350458 496521 525687 531162 993042 1051374 1268887 1577061 2537774 3154122 3806661 4030267 7534847 7613322 8060534 11419983 12090801 15069694 22604541 22839966 24181602 36272403 45209082 67813623 72544806 135627246 173301481 224818807 346602962 449637614 519904443 674456421 1039808886 1348912842 1559713329 2023369263 3119426658 4046738526 5170832561 9667208701 10341665122 15512497683 19334417402 29001626103 31024995366 46537493049 58003252206 87004878309 93074986098 174009756618 222345800123 444691600246 667037400369 1334074800738 2001112201107 4002224402214