Search a number
-
+
302132240040 = 233522955719739
BaseRepresentation
bin1000110010110000111…
…11000001111010101000
31001212212010010001012110
410121120133001322220
514422231323140130
6350444142242320
730554055444531
oct4313037017250
91055763101173
10302132240040
11107151855854
124a67b5863a0
132264c7c71c7
14108a23c1688
157cd4993ab0
hex46587c1ea8

302132240040 has 128 divisors (see below), whose sum is σ = 912035376000. Its totient is φ = 80068697088.

The previous prime is 302132240023. The next prime is 302132240063. The reversal of 302132240040 is 40042231203.

It is a junction number, because it is equal to n+sod(n) for n = 302132239989 and 302132240016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15296491 + ... + 15316229.

It is an arithmetic number, because the mean of its divisors is an integer number (7125276375).

Almost surely, 2302132240040 is an apocalyptic number.

302132240040 is a gapful number since it is divisible by the number (30) 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 302132240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456017688000).

302132240040 is an abundant number, since it is smaller than the sum of its proper divisors (609903135960).

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

302132240040 is a wasteful number, since it uses less digits than its factorization.

302132240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20539 (or 20535 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 302132240040 its reverse (40042231203), we get a palindrome (342174471243).

The spelling of 302132240040 in words is "three hundred two billion, one hundred thirty-two million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 229 458 557 687 916 1114 1145 1374 1671 1832 2228 2290 2748 2785 3342 3435 4456 4580 5496 5570 6684 6870 8355 9160 11140 13368 13740 16710 19739 22280 27480 33420 39478 59217 66840 78956 98695 118434 127553 157912 197390 236868 255106 296085 382659 394780 473736 510212 592170 637765 765318 789560 1020424 1184340 1275530 1530636 1913295 2368680 2551060 3061272 3826590 4520231 5102120 7653180 9040462 10994623 13560693 15306360 18080924 21989246 22601155 27121386 32983869 36161848 43978492 45202310 54242772 54973115 65967738 67803465 87956984 90404620 108485544 109946230 131935476 135606930 164919345 180809240 219892460 263870952 271213860 329838690 439784920 542427720 659677380 1319354760 2517768667 5035537334 7553306001 10071074668 12588843335 15106612002 20142149336 25177686670 30213224004 37766530005 50355373340 60426448008 75533060010 100710746680 151066120020 302132240040