Search a number
-
+
334122225024 = 2737331375533
BaseRepresentation
bin1001101110010110011…
…11001000110110000000
31011221102112220122210010
410313023033020312000
520433240242200044
6413254342504520
733065601024060
oct4671317106600
91157375818703
10334122225024
11119778315a75
1254908a35140
132567a23acc3
1412258c393a0
158a58152bb9
hex4dcb3c8d80

334122225024 has 128 divisors (see below), whose sum is σ = 1017366670080. Its totient is φ = 95174830080.

The previous prime is 334122224977. The next prime is 334122225067. The reversal of 334122225024 is 420522221433.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3341222250242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334122224982 and 334122225000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 701962 + ... + 1077494.

It is an arithmetic number, because the mean of its divisors is an integer number (7948177110).

Almost surely, 2334122225024 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 334122225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508683335040).

334122225024 is an abundant number, since it is smaller than the sum of its proper divisors (683244445056).

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

334122225024 is a wasteful number, since it uses less digits than its factorization.

334122225024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375888 (or 375876 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 334122225024 its reverse (420522221433), we get a palindrome (754644446457).

The spelling of 334122225024 in words is "three hundred thirty-four billion, one hundred twenty-two million, two hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 331 336 384 448 662 672 896 993 1324 1344 1986 2317 2648 2688 3972 4634 5296 6951 7944 9268 10592 13902 15888 18536 21184 27804 31776 37072 42368 55608 63552 74144 111216 127104 148288 222432 296576 375533 444864 751066 889728 1126599 1502132 2253198 2628731 3004264 4506396 5257462 6008528 7886193 9012792 10514924 12017056 15772386 18025584 21029848 24034112 31544772 36051168 42059696 48068224 63089544 72102336 84119392 124301423 126179088 144204672 168238784 248602846 252358176 336477568 372904269 497205692 504716352 745808538 870109961 994411384 1009432704 1491617076 1740219922 1988822768 2610329883 2983234152 3480439844 3977645536 5220659766 5966468304 6960879688 7955291072 10441319532 11932936608 13921759376 15910582144 20882639064 23865873216 27843518752 41765278128 47731746432 55687037504 83530556256 111374075008 167061112512 334122225024