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424213412322 = 237211330741593
BaseRepresentation
bin1100010110001010001…
…01101111100111100010
31111112222011101011100210
412023011011233213202
523422242113143242
6522514141354550
742435255336600
oct6130505574742
91445864334323
10424213412322
111539a9459467
126a270268a56
1331006c0975b
1416763cb2870
15b07c4e2d9c
hex62c516f9e2

424213412322 has 96 divisors (see below), whose sum is σ = 998946793152. Its totient is φ = 119737046016.

The previous prime is 424213412321. The next prime is 424213412323. The reversal of 424213412322 is 223214312424.

It is an interprime number because it is at equal distance from previous prime (424213412321) and next prime (424213412323).

It is a self number, because there is not a number n which added to its sum of digits gives 424213412322.

It is not an unprimeable number, because it can be changed into a prime (424213412321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10178358 + ... + 10219950.

It is an arithmetic number, because the mean of its divisors is an integer number (10405695762).

Almost surely, 2424213412322 is an apocalyptic number.

424213412322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 424213412322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499473396576).

424213412322 is an abundant number, since it is smaller than the sum of its proper divisors (574733380830).

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

424213412322 is a wasteful number, since it uses less digits than its factorization.

424213412322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42032 (or 42025 counting only the distinct ones).

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

Adding to 424213412322 its reverse (223214312424), we get a palindrome (647427724746).

The spelling of 424213412322 in words is "four hundred twenty-four billion, two hundred thirteen million, four hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 113 147 226 294 307 339 614 678 791 921 1582 1842 2149 2373 4298 4746 5537 6447 11074 12894 15043 16611 30086 33222 34691 41593 45129 69382 83186 90258 104073 124779 208146 242837 249558 291151 485674 582302 728511 873453 1457022 1699859 1746906 2038057 3399718 4076114 4700009 5099577 6114171 9400018 10199154 12228342 12769051 14100027 25538102 28200054 32900063 38307153 65800126 76614306 89383357 98700189 178766714 197400378 230300441 268150071 460600882 536300142 625683499 690901323 1251366998 1381802646 1442902763 1877050497 2885805526 3754100994 4328708289 8657416578 10100319341 20200638682 30300958023 60601916046 70702235387 141404470774 212106706161 424213412322