Search a number
-
+
21034303333344 = 2532726501393709
BaseRepresentation
bin1001100100001011011100…
…01011011010001111100000
32202110212012202122211002100
410302011232023122033200
510224111223123131334
6112423005304050400
74300451434215060
oct462055613321740
982425182584070
1021034303333344
11677a663960aa4
122438709763a00
13b976ac360152
1452a0cc4633a0
1526723ce17c99
hex13216e2da3e0

21034303333344 has 144 divisors (see below), whose sum is σ = 68364239055840. Its totient is φ = 6009558912000.

The previous prime is 21034303333339. The next prime is 21034303333361. The reversal of 21034303333344 is 44333330343012.

21034303333344 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 4 + 303 + 3 + 3 + 3 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21034303333299 and 21034303333308.

It is a congruent 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, 53229162 + ... + 53622870.

It is an arithmetic number, because the mean of its divisors is an integer number (474751660110).

Almost surely, 221034303333344 is an apocalyptic number.

21034303333344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21034303333344 is an abundant number, since it is smaller than the sum of its proper divisors (47329935722496).

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

21034303333344 is a wasteful number, since it uses less digits than its factorization.

21034303333344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420233 (or 420222 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 36.

Adding to 21034303333344 its reverse (44333330343012), we get a palindrome (65367633676356).

The spelling of 21034303333344 in words is "twenty-one trillion, thirty-four billion, three hundred three million, three hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 26501 53002 79503 106004 159006 185507 212008 238509 318012 371014 393709 424016 477018 556521 636024 742028 787418 848032 954036 1113042 1181127 1272048 1484056 1574836 1669563 1908072 2226084 2362254 2544096 2755963 2968112 3149672 3339126 3543381 3816144 4452168 4724508 5511926 5936224 6299344 6678252 7086762 7632288 8267889 8904336 9449016 11023852 12598688 13356504 14173524 16535778 17808672 18898032 22047704 24803667 26713008 28347048 33071556 37796064 44095408 49607334 53426016 56694096 66143112 88190816 99214668 113388192 132286224 198429336 264572448 396858672 793717344 10433682209 20867364418 31301046627 41734728836 62602093254 73035775463 83469457672 93903139881 125204186508 146071550926 166938915344 187806279762 219107326389 250408373016 292143101852 333877830688 375612559524 438214652778 500816746032 584286203704 657321979167 751225119048 876429305556 1001633492064 1168572407408 1314643958334 1502450238096 1752858611112 2337144814816 2629287916668 3004900476192 3505717222224 5258575833336 7011434444448 10517151666672 21034303333344