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2414411868 = 22311971011867
BaseRepresentation
bin1000111111101001…
…0000000001011100
320020021010211102210
42033322100001130
514421042134433
61035325120420
7113555106441
oct21772200134
96207124383
102414411868
111029966410
125746b9110
132c629369b
1418c9319c8
15e1e71463
hex8fe9005c

2414411868 has 96 divisors (see below), whose sum is σ = 6273969408. Its totient is φ = 716544000.

The previous prime is 2414411863. The next prime is 2414411869. The reversal of 2414411868 is 8681144142.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414411863) 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, 1292271 + ... + 1294137.

It is an arithmetic number, because the mean of its divisors is an integer number (65353848).

Almost surely, 22414411868 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 2414411868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136984704).

2414411868 is an abundant number, since it is smaller than the sum of its proper divisors (3859557540).

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

2414411868 is a wasteful number, since it uses less digits than its factorization.

2414411868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2081 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 2414411868 is about 49136.6652104109. The cubic root of 2414411868 is about 1341.5404923915.

The spelling of 2414411868 in words is "two billion, four hundred fourteen million, four hundred eleven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 101 132 194 202 291 303 388 404 582 606 1067 1111 1164 1212 1867 2134 2222 3201 3333 3734 4268 4444 5601 6402 6666 7468 9797 11202 12804 13332 19594 20537 22404 29391 39188 41074 58782 61611 82148 107767 117564 123222 181099 188567 215534 246444 323301 362198 377134 431068 543297 565701 646602 724396 754268 1086594 1131402 1293204 1992089 2074237 2173188 2262804 3984178 4148474 5976267 6222711 7968356 8296948 11952534 12445422 18290999 23905068 24890844 36581998 54872997 73163996 109745994 201200989 219491988 402401978 603602967 804803956 1207205934 2414411868