Search a number
-
+
10240832803040 = 255719481242143
BaseRepresentation
bin1001010100000110000100…
…1100111001000011100000
31100021000101020122020211022
42111001201030321003200
52320241211144144130
633440323523505012
72104606245400310
oct225014114710340
940230336566738
1010240832803040
113299127159534
1211948aa228168
13593924c268c8
14275932245440
1512b5c30557e5
hex950613390e0

10240832803040 has 96 divisors (see below), whose sum is σ = 29105524869120. Its totient is φ = 3326345685504.

The previous prime is 10240832803027. The next prime is 10240832803049. The reversal of 10240832803040 is 4030823804201.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240832803049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240599792 + ... + 240642351.

It is an arithmetic number, because the mean of its divisors is an integer number (303182550720).

Almost surely, 210240832803040 is an apocalyptic number.

10240832803040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10240832803040 is an abundant number, since it is smaller than the sum of its proper divisors (18864692066080).

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

10240832803040 is a wasteful number, since it uses less digits than its factorization.

10240832803040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481242184 (or 481242176 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 10240832803040 in words is "ten trillion, two hundred forty billion, eight hundred thirty-two million, eight hundred three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 380 532 560 608 665 760 1064 1120 1330 1520 2128 2660 3040 4256 5320 10640 21280 481242143 962484286 1924968572 2406210715 3368695001 3849937144 4812421430 6737390002 7699874288 9143600717 9624842860 13474780004 15399748576 16843475005 18287201434 19249685720 26949560008 33686950010 36574402868 38499371440 45718003585 53899120016 64005205019 67373900020 73148805736 76998742880 91436007170 107798240032 128010410038 134747800040 146297611472 182872014340 256020820076 269495600080 292595222944 320026025095 365744028680 512041640152 538991200160 640052050190 731488057360 1024083280304 1280104100380 1462976114720 2048166560608 2560208200760 5120416401520 10240832803040