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214632424236412 = 227134679371347527
BaseRepresentation
bin110000110011010100000001…
…011001110110010101111100
31001010221122210200022221101001
4300303110001121312111330
5211113014201101031122
62040252435142500044
763131452362210610
oct6063240131662574
91033848720287331
10214632424236412
1162430111031226
12200a5250734624
13929b99b558820
143b0039c70d340
1519c3136696527
hexc3350167657c

214632424236412 has 96 divisors (see below), whose sum is σ = 463769893536768. Its totient is φ = 84637224082944.

The previous prime is 214632424236353. The next prime is 214632424236421.

It is a happy number.

214632424236412 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158604993 + ... + 159952519.

It is an arithmetic number, because the mean of its divisors is an integer number (4830936391008).

Almost surely, 2214632424236412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214632424236412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231884946768384).

214632424236412 is an abundant number, since it is smaller than the sum of its proper divisors (249137469300356).

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

214632424236412 is a wasteful number, since it uses less digits than its factorization.

214632424236412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348955 (or 1348953 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 46.

The spelling of 214632424236412 in words is "two hundred fourteen trillion, six hundred thirty-two billion, four hundred twenty-four million, two hundred thirty-six thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 467 934 937 1868 1874 3269 3748 6071 6538 6559 12142 12181 13076 13118 24284 24362 26236 42497 48724 84994 85267 169988 170534 341068 437579 875158 1347527 1750316 2695054 3063053 5390108 5688527 6126106 9432689 11377054 12252212 17517851 18865378 22754108 35035702 37730756 39819689 70071404 79639378 122624957 159278756 245249914 490499828 629295109 1258590218 1262632799 2517180436 2525265598 4405065763 5050531196 8180836417 8810131526 8838429593 16361672834 16414226387 17620263052 17676859186 32723345668 32828452774 35353718372 57265854919 65656905548 114531709838 114899584709 229063419676 229799169418 459598338836 589649517133 1179299034266 2358598068532 4127546619931 7665443722729 8255093239862 15330887445458 16510186479724 30661774890916 53658106059103 107316212118206 214632424236412