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420150306352 = 247223113206197
BaseRepresentation
bin1100001110100101110…
…10001110011000110000
31111011110222220222210111
412013102322032120300
523340431434300402
6521003035111104
742232500451600
oct6072272163060
91434428828714
10420150306352
11152203992847
12695175a2494
133080a1c143a
141649a412c00
15ade09549d7
hex61d2e8e630

420150306352 has 120 divisors (see below), whose sum is σ = 996866705376. Its totient is φ = 170710493184.

The previous prime is 420150306319. The next prime is 420150306439. The reversal of 420150306352 is 253603051024.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1934518 + ... + 2140714.

Almost surely, 2420150306352 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 420150306352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498433352688).

420150306352 is an abundant number, since it is smaller than the sum of its proper divisors (576716399024).

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

420150306352 is a wasteful number, since it uses less digits than its factorization.

420150306352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206355 (or 206342 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 420150306352 its reverse (253603051024), we get a palindrome (673753357376).

The spelling of 420150306352 in words is "four hundred twenty billion, one hundred fifty million, three hundred six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 113 161 184 196 226 322 368 392 452 644 784 791 904 1127 1288 1582 1808 2254 2576 2599 3164 4508 5198 5537 6328 9016 10396 11074 12656 18032 18193 20792 22148 36386 41584 44296 72772 88592 127351 145544 206197 254702 291088 412394 509404 824788 1018808 1443379 1649576 2037616 2886758 3299152 4742531 5773516 9485062 10103653 11547032 18970124 20207306 23094064 23300261 33197717 37940248 40414612 46600522 66395434 75880496 80829224 93201044 132790868 161658448 163101827 186402088 232384019 265581736 326203654 372804176 464768038 531163472 535906003 652407308 929536076 1071812006 1141712789 1304814616 1859072152 2143624012 2283425578 2609629232 3718144304 3751342021 4287248024 4566851156 7502684042 8574496048 9133702312 15005368084 18267404624 26259394147 30010736168 52518788294 60021472336 105037576588 210075153176 420150306352