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4031011424 = 2511219157349
BaseRepresentation
bin1111000001000100…
…0101101001100000
3101101221001121010102
43300101011221200
531223414331144
61503554321532
7201615013616
oct36021055140
911357047112
104031011424
111789445600
12945b892a8
134c318bb7b
142a35076b6
15188d4db4e
hexf0445a60

4031011424 has 144 divisors (see below), whose sum is σ = 9267174000. Its totient is φ = 1719843840.

The previous prime is 4031011421. The next prime is 4031011427. The reversal of 4031011424 is 4241101304.

It is an interprime number because it is at equal distance from previous prime (4031011421) and next prime (4031011427).

It is a junction number, because it is equal to n+sod(n) for n = 4031011396 and 4031011405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4031011421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11550002 + ... + 11550350.

It is an arithmetic number, because the mean of its divisors is an integer number (64355375).

Almost surely, 24031011424 is an apocalyptic number.

4031011424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4031011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633587000).

4031011424 is an abundant number, since it is smaller than the sum of its proper divisors (5236162576).

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

4031011424 is a wasteful number, since it uses less digits than its factorization.

4031011424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4031011424 is about 63490.2466840380. The cubic root of 4031011424 is about 1591.4927931458.

Adding to 4031011424 its reverse (4241101304), we get a palindrome (8272112728).

The spelling of 4031011424 in words is "four billion, thirty-one million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 121 152 157 176 209 242 304 314 349 352 418 484 608 628 698 836 968 1256 1396 1672 1727 1936 2299 2512 2792 2983 3344 3454 3839 3872 4598 5024 5584 5966 6631 6688 6908 7678 9196 11168 11932 13262 13816 15356 18392 18997 23864 26524 27632 30712 32813 36784 37994 42229 47728 53048 54793 55264 61424 65626 72941 73568 75988 84458 95456 106096 109586 122848 131252 145882 151976 168916 212192 219172 262504 291764 303952 337832 360943 438344 525008 583528 602723 607904 675664 721886 802351 876688 1041067 1050016 1167056 1205446 1351328 1443772 1604702 1753376 2082134 2334112 2410892 2887544 3209404 4164268 4821784 5775088 6418808 6629953 8328536 9643568 11451737 11550176 12837616 13259906 16657072 19287136 22903474 25675232 26519812 33314144 45806948 53039624 91613896 106079248 125969107 183227792 212158496 251938214 366455584 503876428 1007752856 2015505712 4031011424