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240105720140 = 2251113181463829
BaseRepresentation
bin1101111110011101101…
…0101000100101001100
3211221202101021100202122
43133213122220211030
512413214031021030
6302145242512112
723230020642536
oct3374732504514
9757671240678
10240105720140
1192912468360
123a64ab05638
1319846268a20
14b89a72c856
1563a43908e5
hex37e76a894c

240105720140 has 96 divisors (see below), whose sum is σ = 595646775360. Its totient is φ = 80149478400.

The previous prime is 240105720133. The next prime is 240105720187. The reversal of 240105720140 is 41027501042.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 285746 + ... + 749574.

It is an arithmetic number, because the mean of its divisors is an integer number (6204653910).

Almost surely, 2240105720140 is an apocalyptic number.

240105720140 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 240105720140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297823387680).

240105720140 is an abundant number, since it is smaller than the sum of its proper divisors (355541055220).

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

240105720140 is a wasteful number, since it uses less digits than its factorization.

240105720140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464043 (or 464041 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The spelling of 240105720140 in words is "two hundred forty billion, one hundred five million, seven hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 181 220 260 286 362 572 715 724 905 1430 1810 1991 2353 2860 3620 3982 4706 7964 9412 9955 11765 19910 23530 25883 39820 47060 51766 103532 129415 258830 463829 517660 927658 1855316 2319145 4638290 5102119 6029777 9276580 10204238 12059554 20408476 24119108 25510595 30148885 51021190 60297770 66327547 83953049 102042380 120595540 132655094 167906098 265310188 331637735 335812196 419765245 663275470 839530490 923483539 1091389637 1326550940 1679060980 1846967078 2182779274 3693934156 4365558548 4617417695 5456948185 9234835390 10913896370 12005286007 18469670780 21827792740 24010572014 48021144028 60026430035 120052860070 240105720140