Search a number
-
+
314202400040440 = 23543233784016369
BaseRepresentation
bin100011101110000111111001…
…0011100010010010111111000
31112012111110022111020220122201
41013130033302130102113320
5312140343003402243230
63032130331230355544
7123116242244120122
oct10734176234222770
91465443274226581
10314202400040440
11911295426461aa
122b2a664405bbb4
131064220b9790b2
145783697a16212
15264d1d37645ca
hex11dc3f27125f8

314202400040440 has 64 divisors (see below), whose sum is σ = 726500929096800. Its totient is φ = 122231287836672.

The previous prime is 314202400040429. The next prime is 314202400040467. The reversal of 314202400040440 is 44040004202413.

It is a super-2 number, since 2×3142024000404402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314202400040399 and 314202400040408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391607425 + ... + 392408944.

Almost surely, 2314202400040440 is an apocalyptic number.

It is an amenable number.

314202400040440 is an abundant number, since it is smaller than the sum of its proper divisors (412298529056360).

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

314202400040440 is a wasteful number, since it uses less digits than its factorization.

314202400040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784016656 (or 784016652 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 314202400040440 its reverse (44040004202413), we get a palindrome (358242404242853).

The spelling of 314202400040440 in words is "three hundred fourteen trillion, two hundred two billion, four hundred million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 233 344 430 466 860 932 1165 1720 1864 2330 4660 9320 10019 20038 40076 50095 80152 100190 200380 400760 784016369 1568032738 3136065476 3920081845 6272130952 7840163690 15680327380 31360654760 33712703867 67425407734 134850815468 168563519335 182675813977 269701630936 337127038670 365351627954 674254077340 730703255908 913379069885 1348508154680 1461406511816 1826758139770 3653516279540 7307032559080 7855060001011 15710120002022 31420240004044 39275300005055 62840480008088 78550600010110 157101200020220 314202400040440