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1040233211334 = 2321719181988501
BaseRepresentation
bin11110010001100101011…
…10110010010111000110
310200110000122022022210100
433020302232302113012
5114020344200230314
62113513155504530
7135103643256162
oct17106256622706
93613018268710
101040233211334
11371184590079
1214972bbb8146
137712a762c75
14384c199dca2
151c0d3967c09
hexf232bb25c6

1040233211334 has 96 divisors (see below), whose sum is σ = 2525899390560. Its totient is φ = 307463040000.

The previous prime is 1040233211327. The next prime is 1040233211341. The reversal of 1040233211334 is 4331123320401.

It is a happy number.

1040233211334 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 2 + 3 + 321 + 1 + 334 = 666.

It is an interprime number because it is at equal distance from previous prime (1040233211327) and next prime (1040233211341).

It is a junction number, because it is equal to n+sod(n) for n = 1040233211298 and 1040233211307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 558084 + ... + 1546584.

It is an arithmetic number, because the mean of its divisors is an integer number (26311451985).

Almost surely, 21040233211334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040233211334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262949695280).

1040233211334 is an abundant number, since it is smaller than the sum of its proper divisors (1485666179226).

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

1040233211334 is a wasteful number, since it uses less digits than its factorization.

1040233211334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988726 (or 988723 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1040233211334 its reverse (4331123320401), we get a palindrome (5371356531735).

The spelling of 1040233211334 in words is "one trillion, forty billion, two hundred thirty-three million, two hundred eleven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 181 306 323 342 362 543 646 969 1086 1629 1938 2907 3077 3258 3439 5814 6154 6878 9231 10317 18462 20634 27693 30951 55386 58463 61902 116926 175389 350778 526167 988501 1052334 1977002 2965503 5931006 8896509 16804517 17793018 18781519 33609034 37563038 50413551 56344557 100827102 112689114 151240653 169033671 178918681 302481306 319285823 338067342 357837362 536756043 638571646 957857469 1073512086 1610268129 1915714938 2873572407 3041617577 3220536258 3399454939 5747144814 6083235154 6798909878 9124852731 10198364817 18249705462 20396729634 27374558193 30595094451 54749116386 57790733963 61190188902 115581467926 173372201889 346744403778 520116605667 1040233211334