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2140304204440 = 235177155779589
BaseRepresentation
bin11111001001010100000…
…100100110001010011000
321120121111110221220202101
4133021110010212022120
5240031320334020230
64315124151013144
7310426506364543
oct37112404461230
97517443856671
102140304204440
11755774a20256
122a697b66a1b4
13126aa3166a9c
147583c66785a
153aa1a78daca
hex1f254126298

2140304204440 has 128 divisors (see below), whose sum is σ = 5180124700800. Its totient is φ = 792976629760.

The previous prime is 2140304204419. The next prime is 2140304204473. The reversal of 2140304204440 is 444024030412.

It is a junction number, because it is equal to n+sod(n) for n = 2140304204399 and 2140304204408.

It is a congruent number.

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, 26852166 + ... + 26931754.

It is an arithmetic number, because the mean of its divisors is an integer number (40469724225).

Almost surely, 22140304204440 is an apocalyptic number.

2140304204440 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 2140304204440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590062350400).

2140304204440 is an abundant number, since it is smaller than the sum of its proper divisors (3039820496360).

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

2140304204440 is a wasteful number, since it uses less digits than its factorization.

2140304204440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80245 (or 80241 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2140304204440 its reverse (444024030412), we get a palindrome (2584328234852).

The spelling of 2140304204440 in words is "two trillion, one hundred forty billion, three hundred four million, two hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 71 85 136 142 170 284 340 355 557 568 680 710 1114 1207 1420 2228 2414 2785 2840 4456 4828 5570 6035 9469 9656 11140 12070 18938 22280 24140 37876 39547 47345 48280 75752 79094 79589 94690 158188 159178 189380 197735 316376 318356 378760 395470 397945 636712 672299 790940 795890 1344598 1353013 1581880 1591780 2689196 2706026 3183560 3361495 5378392 5412052 5650819 6722990 6765065 10824104 11301638 13445980 13530130 22603276 26891960 27060260 28254095 44331073 45206552 54120520 56508190 88662146 96063923 113016380 177324292 192127846 221655365 226032760 354648584 384255692 443310730 480319615 753628241 768511384 886621460 960639230 1507256482 1773242920 1921278460 3014512964 3147506183 3768141205 3842556920 6029025928 6295012366 7536282410 12590024732 15072564820 15737530915 25180049464 30145129640 31475061830 53507605111 62950123660 107015210222 125900247320 214030420444 267538025555 428060840888 535076051110 1070152102220 2140304204440