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4231404414 = 233177576089
BaseRepresentation
bin1111110000110110…
…0001101101111110
3101220220010121122000
43330031201231332
532131214420124
61535513403130
7206600226006
oct37415415576
911826117560
104231404414
111881576846
129a11094a6
13525852cc3
142c1d8d006
1519b7346c9
hexfc361b7e

4231404414 has 64 divisors (see below), whose sum is σ = 9971035200. Its totient is φ = 1325528064.

The previous prime is 4231404409. The next prime is 4231404433. The reversal of 4231404414 is 4144041324.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691882 + ... + 697970.

It is an arithmetic number, because the mean of its divisors is an integer number (155797425).

Almost surely, 24231404414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4231404414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985517600).

4231404414 is an abundant number, since it is smaller than the sum of its proper divisors (5739630786).

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

4231404414 is a wasteful number, since it uses less digits than its factorization.

4231404414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6874 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4231404414 is about 65049.2460678831. The cubic root of 4231404414 is about 1617.4399964682.

Adding to 4231404414 its reverse (4144041324), we get a palindrome (8375445738).

The spelling of 4231404414 in words is "four billion, two hundred thirty-one million, four hundred four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 757 918 1514 2271 4542 6089 6813 12178 12869 13626 18267 20439 25738 36534 38607 40878 54801 77214 103513 109602 115821 164403 207026 231642 310539 328806 347463 621078 694926 931617 1863234 2794851 4609373 5589702 9218746 13828119 27656238 41484357 78359341 82968714 124453071 156718682 235078023 248906142 470156046 705234069 1410468138 2115702207 4231404414