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1034114002344 = 2332174673180797
BaseRepresentation
bin11110000110001011111…
…11110110110110101000
310122212020011221022010100
433003011333312312220
5113420331141033334
62111022043545400
7134466210662553
oct17030577666650
93585204838110
101034114002344
11369624438865
1214850282b260
1376693a89347
14380a0ddd69a
151bd76633c99
hexf0c5ff6da8

1034114002344 has 96 divisors (see below), whose sum is σ = 2966124980520. Its totient is φ = 324356702208.

The previous prime is 1034114002331. The next prime is 1034114002423. The reversal of 1034114002344 is 4432004114301.

1034114002344 is a `hidden beast` number, since 10 + 3 + 4 + 11 + 400 + 234 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 992338730244 + 41775272100 = 996162^2 + 204390^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5629354 + ... + 5810150.

Almost surely, 21034114002344 is an apocalyptic number.

It is an amenable number.

1034114002344 is an abundant number, since it is smaller than the sum of its proper divisors (1932010978176).

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

1034114002344 is a wasteful number, since it uses less digits than its factorization.

1034114002344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185499 (or 185492 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1034114002344 its reverse (4432004114301), we get a palindrome (5466118116645).

The spelling of 1034114002344 in words is "one trillion, thirty-four billion, one hundred fourteen million, two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 4673 9346 14019 18692 28038 37384 42057 56076 79441 84114 112152 158882 168228 180797 238323 317764 336456 361594 476646 542391 635528 714969 723188 953292 1084782 1429938 1446376 1627173 1906584 2169564 2859876 3073549 3254346 4339128 5719752 6147098 6508692 9220647 12294196 13017384 18441294 24588392 27661941 36882588 55323882 73765176 110647764 221295528 844864381 1689728762 2534593143 3379457524 5069186286 6758915048 7603779429 10138372572 14362694477 15207558858 20276745144 28725388954 30415117716 43088083431 57450777908 60830235432 86176166862 114901555816 129264250293 172352333724 258528500586 344704667448 517057001172 1034114002344