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2306325991040 = 27541383229487
BaseRepresentation
bin100001100011111011101…
…111011100111010000000
322011111000211020112000122
4201203323233130322000
5300241323423203130
64523302254035412
7325424623316111
oct41437357347200
98144024215018
102306325991040
1180a11a994855
12312b93aa8b68
13139640b59b36
147d8abc1c208
153eed5c192e5
hex218fbbdce80

2306325991040 has 128 divisors (see below), whose sum is σ = 5662809169920. Its totient is φ = 897675796480.

The previous prime is 2306325991037. The next prime is 2306325991069. The reversal of 2306325991040 is 401995236032.

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

It is a junction number, because it is equal to n+sod(n) for n = 2306325990982 and 2306325991000.

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, 9935177 + ... + 10164663.

It is an arithmetic number, because the mean of its divisors is an integer number (44240696640).

Almost surely, 22306325991040 is an apocalyptic number.

2306325991040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2306325991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831404584960).

2306325991040 is an abundant number, since it is smaller than the sum of its proper divisors (3356483178880).

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

2306325991040 is a wasteful number, since it uses less digits than its factorization.

2306325991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229930 (or 229918 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 44.

The spelling of 2306325991040 in words is "two trillion, three hundred six billion, three hundred twenty-five million, nine hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 320 328 383 410 640 656 766 820 1312 1532 1640 1915 2624 3064 3280 3830 5248 6128 6560 7660 12256 13120 15320 15703 24512 26240 30640 31406 49024 61280 62812 78515 122560 125624 157030 229487 245120 251248 314060 458974 502496 628120 917948 1004992 1147435 1256240 1835896 2009984 2294870 2512480 3671792 4589740 5024960 7343584 9179480 9408967 10049920 14687168 18358960 18817934 29374336 36717920 37635868 47044835 73435840 75271736 87893521 94089670 146871680 150543472 175787042 188179340 301086944 351574084 376358680 439467605 602173888 703148168 752717360 878935210 1204347776 1406296336 1505434720 1757870420 2812592672 3010869440 3515740840 3603634361 5625185344 6021738880 7031481680 7207268722 11250370688 14062963360 14414537444 18018171805 28125926720 28829074888 36036343610 56251853440 57658149776 72072687220 115316299552 144145374440 230632599104 288290748880 461265198208 576581497760 1153162995520 2306325991040