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4241231412 = 22311371038431
BaseRepresentation
bin1111110011001100…
…0000111000110100
3101221120121212201220
43330303000320310
532141223401122
61540504150340
7210046605105
oct37463007064
911846555656
104241231412
111887078a30
129a44683b0
135278b3bb2
142c33ca3ac
1519c52625c
hexfccc0e34

4241231412 has 96 divisors (see below), whose sum is σ = 11196616704. Its totient is φ = 1238198400.

The previous prime is 4241231381. The next prime is 4241231413. The reversal of 4241231412 is 2141321424.

4241231412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241231413) 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, 498837 + ... + 507267.

It is an arithmetic number, because the mean of its divisors is an integer number (116631424).

Almost surely, 24241231412 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 4241231412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598308352).

4241231412 is an abundant number, since it is smaller than the sum of its proper divisors (6955385292).

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

4241231412 is a wasteful number, since it uses less digits than its factorization.

4241231412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8589 (or 8587 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 4241231412 is about 65124.7373276852. The cubic root of 4241231412 is about 1618.6911406434.

Adding to 4241231412 its reverse (2141321424), we get a palindrome (6382552836).

The spelling of 4241231412 in words is "four billion, two hundred forty-one million, two hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 103 111 132 148 206 222 309 407 412 444 618 814 1133 1221 1236 1628 2266 2442 3399 3811 4532 4884 6798 7622 8431 11433 13596 15244 16862 22866 25293 33724 41921 45732 50586 83842 92741 101172 125763 167684 185482 251526 278223 311947 370964 503052 556446 623894 868393 935841 1112892 1247788 1736786 1871682 2605179 3431417 3473572 3743364 5210358 6862834 9552323 10294251 10420716 13725668 19104646 20588502 28656969 32130541 38209292 41177004 57313938 64261082 96391623 114627876 128522164 192783246 353435951 385566492 706871902 1060307853 1413743804 2120615706 4241231412