Search a number
-
+
420311440302 = 231353180156453
BaseRepresentation
bin1100001110111001000…
…00111001101110101110
31111011220020010110000120
412013130200321232232
523341244212042202
6521031032505410
742236465203065
oct6073440715656
91434806113016
10420311440302
1115228693a0a6
126956154b266
13308346bb080
14164b39991dc
15adeeb830bc
hex61dc839bae

420311440302 has 64 divisors (see below), whose sum is σ = 922895539776. Its totient is φ = 126813772800.

The previous prime is 420311440277. The next prime is 420311440363. The reversal of 420311440302 is 203044113024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7417108 + ... + 7473560.

It is an arithmetic number, because the mean of its divisors is an integer number (14420242809).

Almost surely, 2420311440302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420311440302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461447769888).

420311440302 is an abundant number, since it is smaller than the sum of its proper divisors (502584099474).

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

420311440302 is a wasteful number, since it uses less digits than its factorization.

420311440302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58325.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 420311440302 its reverse (203044113024), we get a palindrome (623355553326).

The spelling of 420311440302 in words is "four hundred twenty billion, three hundred eleven million, four hundred forty thousand, three hundred two".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 318 689 1378 1801 2067 3602 4134 5403 10806 23413 46826 56453 70239 95453 112906 140478 169359 190906 286359 338718 572718 733889 1240889 1467778 2201667 2481778 2992009 3722667 4403334 5984018 7445334 8976027 17952054 38896117 77792234 101671853 116688351 203343706 233376702 305015559 610031118 1321734089 2643468178 3965202267 5388608209 7930404534 10777216418 16165824627 32331649254 70051906717 140103813434 210155720151 420311440302