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4213141104 = 243238234637
BaseRepresentation
bin1111101100011111…
…0110111001110000
3101212121202202002010
43323013312321300
532112031003404
61534022122520
7206256052134
oct37307667160
911777682063
104213141104
1118722322a7
12996b80440
13521b2a203
142bd7973c4
15199d28189
hexfb1f6e70

4213141104 has 80 divisors (see below), whose sum is σ = 11373414912. Its totient is φ = 1341398784.

The previous prime is 4213141103. The next prime is 4213141109. The reversal of 4213141104 is 4011413124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213141103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906274 + ... + 910910.

Almost surely, 24213141104 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 4213141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5686707456).

4213141104 is an abundant number, since it is smaller than the sum of its proper divisors (7160273808).

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

4213141104 is a wasteful number, since it uses less digits than its factorization.

4213141104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5494 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4213141104 is about 64908.7136215162. The cubic root of 4213141104 is about 1615.1096110430.

Adding to 4213141104 its reverse (4011413124), we get a palindrome (8224554228).

The spelling of 4213141104 in words is "four billion, two hundred thirteen million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 823 1104 1646 2469 3292 4637 4938 6584 9274 9876 13168 13911 18548 18929 19752 27822 37096 37858 39504 55644 56787 74192 75716 106651 111288 113574 151432 213302 222576 227148 302864 319953 426604 454296 639906 853208 908592 1279812 1706416 2559624 3816251 5119248 7632502 11448753 15265004 22897506 30530008 45795012 61060016 87773773 91590024 175547546 183180048 263321319 351095092 526642638 702190184 1053285276 1404380368 2106570552 4213141104