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1134443041024 = 2841317340957
BaseRepresentation
bin10000100000100010000…
…100110001000100000000
311000110012021201112120211
4100200202010301010000
5122041314404303044
62225053403243504
7144650361513526
oct20404204610400
94013167645524
101134443041024
113a8129581557
12163a42819594
1382c927c3117
143cc9ba32316
151e7996b6634
hex10822131100

1134443041024 has 72 divisors (see below), whose sum is σ = 2327009709528. Its totient is φ = 551639531520.

The previous prime is 1134443040953. The next prime is 1134443041033. The reversal of 1134443041024 is 4201403444311.

It can be written as a sum of positive squares in 4 ways, for example, as 166816698624 + 967626342400 = 408432^2 + 983680^2 .

It is a super-2 number, since 2×11344430410242 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3156754 + ... + 3497710.

It is an arithmetic number, because the mean of its divisors is an integer number (32319579299).

Almost surely, 21134443041024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134443041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163504854764).

1134443041024 is an abundant number, since it is smaller than the sum of its proper divisors (1192566668504).

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

1134443041024 is an equidigital number, since it uses as much as digits as its factorization.

1134443041024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341331 (or 341317 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 1134443041024 its reverse (4201403444311), we get a palindrome (5335846485335).

The spelling of 1134443041024 in words is "one trillion, one hundred thirty-four billion, four hundred forty-three million, forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 317 328 634 656 1268 1312 2536 2624 5072 5248 10144 10496 12997 20288 25994 40576 51988 81152 103976 207952 340957 415904 681914 831808 1363828 1663616 2727656 3327232 5455312 10910624 13979237 21821248 27958474 43642496 55916948 87284992 108083369 111833896 216166738 223667792 432333476 447335584 864666952 894671168 1729333904 1789342336 3458667808 3578684672 4431418129 6917335616 8862836258 13834671232 17725672516 27669342464 35451345032 70902690064 141805380128 283610760256 567221520512 1134443041024