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1214144004 = 2231922723459
BaseRepresentation
bin100100001011110…
…0101111000000100
310010121121220110110
41020113211320010
54441310102004
6320251153020
742042024303
oct11027457004
93117556413
101214144004
115733973a7
1229a745770
13164707308
14b737243a
15718d1589
hex485e5e04

1214144004 has 48 divisors (see below), whose sum is σ = 2995372800. Its totient is φ = 381708576.

The previous prime is 1214143979. The next prime is 1214144027. The reversal of 1214144004 is 4004414121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40027 + ... + 63485.

It is an arithmetic number, because the mean of its divisors is an integer number (62403600).

Almost surely, 21214144004 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 1214144004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497686400).

1214144004 is an abundant number, since it is smaller than the sum of its proper divisors (1781228796).

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

1214144004 is a wasteful number, since it uses less digits than its factorization.

1214144004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23712 (or 23710 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1214144004 is about 34844.5692181723. The cubic root of 1214144004 is about 1066.8173409982.

Adding to 1214144004 its reverse (4004414121), we get a palindrome (5218558125).

The spelling of 1214144004 in words is "one billion, two hundred fourteen million, one hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 227 228 454 681 908 1362 2724 4313 8626 12939 17252 23459 25878 46918 51756 70377 93836 140754 281508 445721 891442 1337163 1782884 2674326 5325193 5348652 10650386 15975579 21300772 31951158 63902316 101178667 202357334 303536001 404714668 607072002 1214144004