Search a number
-
+
1032223420240 = 245171375540057
BaseRepresentation
bin11110000010101010100…
…11110110111101010000
310122200100102110210000221
433001111103312331100
5113402443143421430
62110110310122424
7134401313206435
oct17012523667520
93580312423027
101032223420240
11368844235511
12148075650414
13764521a23cc
1437d61ca7b8c
151bcb568657a
hexf0554f6f50

1032223420240 has 80 divisors (see below), whose sum is σ = 2559639757392. Its totient is φ = 385765179392.

The previous prime is 1032223420219. The next prime is 1032223420301. The reversal of 1032223420240 is 420243222301.

It can be written as a sum of positive squares in 8 ways, for example, as 154355776 + 1032069064464 = 12424^2 + 1015908^2 .

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, 2583709 + ... + 2956348.

Almost surely, 21032223420240 is an apocalyptic number.

1032223420240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032223420240 is an abundant number, since it is smaller than the sum of its proper divisors (1527416337152).

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

1032223420240 is a wasteful number, since it uses less digits than its factorization.

1032223420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540224 (or 5540218 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 1032223420240 its reverse (420243222301), we get a palindrome (1452466642541).

The spelling of 1032223420240 in words is "one trillion, thirty-two billion, two hundred twenty-three million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 137 170 272 274 340 548 680 685 1096 1360 1370 2192 2329 2740 4658 5480 9316 10960 11645 18632 23290 37264 46580 93160 186320 5540057 11080114 22160228 27700285 44320456 55400570 88640912 94180969 110801140 188361938 221602280 376723876 443204560 470904845 753447752 758987809 941809690 1506895504 1517975618 1883619380 3035951236 3767238760 3794939045 6071902472 7534477520 7589878090 12143804944 12902792753 15179756180 25805585506 30359512360 51611171012 60719024720 64513963765 103222342024 129027927530 206444684048 258055855060 516111710120 1032223420240