Search a number
-
+
303123045040 = 2457383773809
BaseRepresentation
bin1000110100100111000…
…10101001101010110000
31001222102011111011010221
410122103202221222300
514431243444420130
6351130334502424
730620446241044
oct4322342515260
91058364434127
10303123045040
11107610069262
124a8b7364a14
1322779b6505a
1410957c18024
157d4195a87a
hex46938a9ab0

303123045040 has 160 divisors (see below), whose sum is σ = 724852981440. Its totient is φ = 117848752128.

The previous prime is 303123045037. The next prime is 303123045053. The reversal of 303123045040 is 40540321303.

It is a junction number, because it is equal to n+sod(n) for n = 303123044996 and 303123045014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374688156 + ... + 374688964.

It is an arithmetic number, because the mean of its divisors is an integer number (4530331134).

Almost surely, 2303123045040 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 303123045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362426490720).

303123045040 is an abundant number, since it is smaller than the sum of its proper divisors (421729936400).

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

303123045040 is a wasteful number, since it uses less digits than its factorization.

303123045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 303123045040 its reverse (40540321303), we get a palindrome (343663366343).

The spelling of 303123045040 in words is "three hundred three billion, one hundred twenty-three million, forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 83 146 166 292 332 365 415 584 664 730 773 809 830 1168 1328 1460 1546 1618 1660 2920 3092 3236 3320 3865 4045 5840 6059 6184 6472 6640 7730 8090 12118 12368 12944 15460 16180 24236 30295 30920 32360 48472 56429 59057 60590 61840 64159 64720 67147 96944 112858 118114 121180 128318 134294 225716 236228 242360 256636 268588 282145 295285 320795 335735 451432 472456 484720 513272 537176 564290 590570 625357 641590 671470 902864 944912 1026544 1074352 1128580 1181140 1250714 1283180 1342940 2257160 2362280 2501428 2566360 2685880 3126785 4514320 4683607 4724560 4901731 5002856 5132720 5371760 6253570 9367214 9803462 10005712 12507140 18734428 19606924 23418035 24508655 25014280 37468856 39213848 45651061 46836070 49017310 50028560 51904631 74937712 78427696 91302122 93672140 98034620 103809262 182604244 187344280 196069240 207618524 228255305 259523155 365208488 374688560 392138480 415237048 456510610 519046310 730416976 830474096 913021220 1038092620 1826042440 2076185240 3652084880 3789038063 4152370480 7578076126 15156152252 18945190315 30312304504 37890380630 60624609008 75780761260 151561522520 303123045040