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4011431220 = 2232537602317
BaseRepresentation
bin1110111100011001…
…1001010100110100
3101100120012211010200
43233012121110310
531203411244340
61502014520500
7201256413516
oct35706312464
911316184120
104011431220
111779391715
1293b506130
134bc0c4854
142a0a8bbb6
15187282330
hexef199534

4011431220 has 72 divisors (see below), whose sum is σ = 12496893864. Its totient is φ = 1040802048.

The previous prime is 4011431213. The next prime is 4011431239. The reversal of 4011431220 is 221341104.

4011431220 is a `hidden beast` number, since 4 + 0 + 11 + 431 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 140849424 + 3870581796 = 11868^2 + 62214^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4011431193 and 4011431202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294499 + ... + 307818.

Almost surely, 24011431220 is an apocalyptic number.

It is an amenable number.

4011431220 is an abundant number, since it is smaller than the sum of its proper divisors (8485462644).

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

4011431220 is a wasteful number, since it uses less digits than its factorization.

4011431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602369 (or 602364 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4011431220 is about 63335.8604583533. The cubic root of 4011431220 is about 1588.9117746517.

Adding to 4011431220 its reverse (221341104), we get a palindrome (4232772324).

The spelling of 4011431220 in words is "four billion, eleven million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 602317 1204634 1806951 2409268 3011585 3613902 5420853 6023170 7227804 9034755 10841706 12046340 18069510 21683412 22285729 27104265 36139020 44571458 54208530 66857187 89142916 108417060 111428645 133714374 200571561 222857290 267428748 334285935 401143122 445714580 668571870 802286244 1002857805 1337143740 2005715610 4011431220