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421044220224 = 26321722529341
BaseRepresentation
bin1100010000010000011…
…00001111000101000000
31111020210021222112002200
412020020030033011000
523344244310021344
6521231450513200
742263603551515
oct6101014170500
91436707875080
10421044220224
11152622538541
1269726a35800
1330920466864
141654302730c
15ae4417d069
hex620830f140

421044220224 has 126 divisors (see below), whose sum is σ = 1282014698094. Its totient is φ = 132092252160.

The previous prime is 421044220217. The next prime is 421044220237. The reversal of 421044220224 is 422022440124.

421044220224 is a `hidden beast` number, since 4 + 2 + 10 + 4 + 422 + 0 + 224 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 282981441600 + 138062778624 = 531960^2 + 371568^2 .

It is a super-2 number, since 2×4210442202242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1098207 + ... + 1431134.

Almost surely, 2421044220224 is an apocalyptic number.

It is an amenable number.

421044220224 is an abundant number, since it is smaller than the sum of its proper divisors (860970477870).

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

421044220224 is a wasteful number, since it uses less digits than its factorization.

421044220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529393 (or 2529363 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 421044220224 its reverse (422022440124), we get a palindrome (843066660348).

The spelling of 421044220224 in words is "four hundred twenty-one billion, forty-four million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 289 306 408 544 576 578 612 816 867 1088 1156 1224 1632 1734 2312 2448 2601 3264 3468 4624 4896 5202 6936 9248 9792 10404 13872 18496 20808 27744 41616 55488 83232 166464 2529341 5058682 7588023 10117364 15176046 20234728 22764069 30352092 40469456 42998797 45528138 60704184 80938912 85997594 91056276 121408368 128996391 161877824 171995188 182112552 242816736 257992782 343990376 364225104 386989173 485633472 515985564 687980752 728450208 730979549 773978346 1031971128 1375961504 1456900416 1461959098 1547956692 2063942256 2192938647 2751923008 2923918196 3095913384 4127884512 4385877294 5847836392 6191826768 6578815941 8255769024 8771754588 11695672784 12383653536 13157631882 17543509176 23391345568 24767307072 26315263764 35087018352 46782691136 52630527528 70174036704 105261055056 140348073408 210522110112 421044220224