Search a number
-
+
280228710040 = 235377114331861
BaseRepresentation
bin1000001001111101110…
…11101100011010011000
3222210022121202102200121
410010332323230122120
514042402022210130
6332422453443024
726150220506506
oct4047673543230
9883277672617
10280228710040
11a893188a544
1246388040474
132056b951076
14d7c5393676
157451a6dd7a
hex413eeec698

280228710040 has 128 divisors (see below), whose sum is σ = 657487393920. Its totient is φ = 107393126400.

The previous prime is 280228709947. The next prime is 280228710059. The reversal of 280228710040 is 40017822082.

It is a junction number, because it is equal to n+sod(n) for n = 280228709978 and 280228710005.

It is a congruent number.

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, 150578710 + ... + 150580570.

It is an arithmetic number, because the mean of its divisors is an integer number (5136620265).

Almost surely, 2280228710040 is an apocalyptic number.

280228710040 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 280228710040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328743696960).

280228710040 is an abundant number, since it is smaller than the sum of its proper divisors (377258683880).

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

280228710040 is a wasteful number, since it uses less digits than its factorization.

280228710040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The spelling of 280228710040 in words is "two hundred eighty billion, two hundred twenty-eight million, seven hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 71 74 142 148 185 284 296 355 370 568 710 740 1420 1433 1480 1861 2627 2840 2866 3722 5254 5732 7165 7444 9305 10508 11464 13135 14330 14888 18610 21016 26270 28660 37220 52540 53021 57320 68857 74440 101743 105080 106042 132131 137714 203486 212084 264262 265105 275428 344285 406972 424168 508715 528524 530210 550856 660655 688570 813944 1017430 1057048 1060420 1321310 1377140 2034860 2120840 2642620 2666813 2754280 3764491 4069720 4888847 5285240 5333626 7528982 9777694 10667252 13334065 15057964 18822455 19555388 21334504 24444235 26668130 30115928 37644910 39110776 48888470 53336260 75289820 97776940 98672081 106672520 150579640 189343723 195553880 197344162 378687446 394688324 493360405 757374892 789376648 946718615 986720810 1514749784 1893437230 1973441620 3786874460 3946883240 7005717751 7573748920 14011435502 28022871004 35028588755 56045742008 70057177510 140114355020 280228710040