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240226436641 = 292169012
BaseRepresentation
bin1101111110111010011…
…1001000011000100001
3211222001210102101200011
43133232213020120201
512413440431433031
6302205234124521
723233015006642
oct3375647103041
9758053371604
10240226436641
1192974619464
123a683420741
1319865283ac9
14b8ac7936c9
1563aec886b1
hex37ee9c8621

240226436641 has 9 divisors (see below), whose sum is σ = 248810472313. Its totient is φ = 231929042800.

The previous prime is 240226436627. The next prime is 240226436657. The reversal of 240226436641 is 146634622042.

The square root of 240226436641 is 490129.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 122275403041 + 117951033600 = 349679^2 + 343440^2 .

It is not a de Polignac number, because 240226436641 - 235 = 205866698273 is a prime.

It is a super-2 number, since 2×2402264366412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 240226436594 and 240226436603.

It is not an unprimeable number, because it can be changed into a prime (240226436041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14205291 + ... + 14222191.

Almost surely, 2240226436641 is an apocalyptic number.

240226436641 is the 490129-th square number.

240226436641 is the 245065-th centered octagonal number.

It is an amenable number.

240226436641 is a deficient number, since it is larger than the sum of its proper divisors (8584035672).

240226436641 is an frugal number, since it uses more digits than its factorization.

240226436641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33860 (or 16930 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 240226436641 in words is "two hundred forty billion, two hundred twenty-six million, four hundred thirty-six thousand, six hundred forty-one".

Divisors: 1 29 841 16901 490129 14213741 285643801 8283670229 240226436641