Search a number
-
+
1022055404240 = 245139689101429
BaseRepresentation
bin11101101111101110011…
…11111101001011010000
310121201002210120001021202
432313313033331023100
5113221132140413430
62101305322210332
7133561325411063
oct16676717751320
93551083501252
101022055404240
113644a66a3602
121460b83539a8
13754c17489b0
14376796ca8da
151b8bcb8ad45
hexedf73fd2d0

1022055404240 has 80 divisors (see below), whose sum is σ = 2559358846800. Its totient is φ = 377331634176.

The previous prime is 1022055404213. The next prime is 1022055404267. The reversal of 1022055404240 is 424045502201.

It is an interprime number because it is at equal distance from previous prime (1022055404213) and next prime (1022055404267).

It can be written as a sum of positive squares in 8 ways, for example, as 5838182464 + 1016217221776 = 76408^2 + 1008076^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10025846 + ... + 10127274.

It is an arithmetic number, because the mean of its divisors is an integer number (31991985585).

Almost surely, 21022055404240 is an apocalyptic number.

1022055404240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022055404240 is an abundant number, since it is smaller than the sum of its proper divisors (1537303442560).

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

1022055404240 is a wasteful number, since it uses less digits than its factorization.

1022055404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111144 (or 111138 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The spelling of 1022055404240 in words is "one trillion, twenty-two billion, fifty-five million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 9689 19378 38756 48445 77512 96890 101429 125957 155024 193780 202858 251914 387560 405716 503828 507145 629785 775120 811432 1007656 1014290 1259570 1318577 1622864 2015312 2028580 2519140 2637154 4057160 5038280 5274308 6592885 8114320 10076560 10548616 13185770 21097232 26371540 52743080 105486160 982745581 1965491162 3930982324 4913727905 7861964648 9827455810 12775692553 15723929296 19654911620 25551385106 39309823240 51102770212 63878462765 78619646480 102205540424 127756925530 204411080848 255513851060 511027702120 1022055404240