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1134040333344 = 25343353778241
BaseRepresentation
bin10000100000001010000…
…100100011110000100000
311000102011012221212111120
4100200022010203300200
5122040003311131334
62224545420012240
7144634401533622
oct20401204436040
94012135855446
101134040333344
113a7a42227296
1216394b991080
1382c2a244259
143cc60364c12
151e77416a949
hex1080a123c20

1134040333344 has 96 divisors (see below), whose sum is σ = 3054718142784. Its totient is φ = 368176005120.

The previous prime is 1134040333339. The next prime is 1134040333399. The reversal of 1134040333344 is 4433330404311.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1068064 + ... + 1846304.

It is an arithmetic number, because the mean of its divisors is an integer number (31819980654).

Almost surely, 21134040333344 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 1134040333344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527359071392).

1134040333344 is an abundant number, since it is smaller than the sum of its proper divisors (1920677809440).

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

1134040333344 is a wasteful number, since it uses less digits than its factorization.

1134040333344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778650 (or 778642 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 1134040333344 its reverse (4433330404311), we get a palindrome (5567370737655).

The spelling of 1134040333344 in words is "one trillion, one hundred thirty-four billion, forty million, three hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 353 516 688 706 1032 1059 1376 1412 2064 2118 2824 4128 4236 5648 8472 11296 15179 16944 30358 33888 45537 60716 91074 121432 182148 242864 364296 485728 728592 778241 1457184 1556482 2334723 3112964 4669446 6225928 9338892 12451856 18677784 24903712 33464363 37355568 66928726 74711136 100393089 133857452 200786178 267714904 274719073 401572356 535429808 549438146 803144712 824157219 1070859616 1098876292 1606289424 1648314438 2197752584 3212578848 3296628876 4395505168 6593257752 8791010336 11812920139 13186515504 23625840278 26373031008 35438760417 47251680556 70877520834 94503361112 141755041668 189006722224 283510083336 378013444448 567020166672 1134040333344