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4013230321404 = 2233714289122027
BaseRepresentation
bin111010011001100111001…
…010101110111011111100
3112012122211220212122222000
4322121213022232323330
51011223043430241104
612311352541422300
7562642405612533
oct72314712567374
915178756778860
104013230321404
111308001989997
1254995a86a990
132315a4b0ca95
14dc35450131a
156e5d7755639
hex3a6672aeefc

4013230321404 has 96 divisors (see below), whose sum is σ = 10553762419200. Its totient is φ = 1318583669760.

The previous prime is 4013230321393. The next prime is 4013230321409. The reversal of 4013230321404 is 4041230323104.

4013230321404 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 230 + 3 + 21 + 404 = 666.

It is a super-2 number, since 2×40132303214042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013230321409) 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, 32827039 + ... + 32949065.

It is an arithmetic number, because the mean of its divisors is an integer number (109935025200).

Almost surely, 24013230321404 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 4013230321404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276881209600).

4013230321404 is an abundant number, since it is smaller than the sum of its proper divisors (6540532097796).

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

4013230321404 is a wasteful number, since it uses less digits than its factorization.

4013230321404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126400 (or 126392 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4013230321404 its reverse (4041230323104), we get a palindrome (8054460644508).

The spelling of 4013230321404 in words is "four trillion, thirteen billion, two hundred thirty million, three hundred twenty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1917 2556 3834 4289 7668 8578 12867 17156 25734 38601 51468 77202 115803 122027 154404 231606 244054 304519 366081 463212 488108 609038 732162 913557 1098243 1218076 1464324 1827114 2196486 2740671 3294729 3654228 4392972 5481342 6589458 8222013 8663917 10962684 13178916 16444026 17327834 25991751 32888052 34655668 51983502 77975253 103967004 155950506 233925759 311901012 467851518 523373803 935703036 1046747606 1570121409 2093495212 3140242818 4710364227 6280485636 9420728454 14131092681 18841456908 28262185362 37159540013 56524370724 74319080026 111478620039 148638160052 222957240078 334435860117 445914480156 668871720234 1003307580351 1337743440468 2006615160702 4013230321404