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1004014321134 = 2311412931266323
BaseRepresentation
bin11101001110000111110…
…10101011110111101110
310112222112111002001211120
432213003322223313232
5112422210131234014
62045123211201410
7132352260630126
oct16470372536756
93488474061746
101004014321134
11357888a00870
12142702446266
13738a7b628a6
1436847647c86
151b1b3db9ba9
hexe9c3eabdee

1004014321134 has 64 divisors (see below), whose sum is σ = 2251665900288. Its totient is φ = 295812819200.

The previous prime is 1004014321127. The next prime is 1004014321147. The reversal of 1004014321134 is 4311234104001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159697 + ... + 1426019.

It is an arithmetic number, because the mean of its divisors is an integer number (35182279692).

Almost surely, 21004014321134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004014321134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125832950144).

1004014321134 is an abundant number, since it is smaller than the sum of its proper divisors (1247651579154).

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

1004014321134 is a wasteful number, since it uses less digits than its factorization.

1004014321134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266673.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1004014321134 its reverse (4311234104001), we get a palindrome (5315248425135).

The spelling of 1004014321134 in words is "one trillion, four billion, fourteen million, three hundred twenty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 293 451 586 879 902 1353 1758 2706 3223 6446 9669 12013 19338 24026 36039 72078 132143 264286 396429 792858 1266323 2532646 3798969 7597938 13929553 27859106 41788659 51919243 83577318 103838486 155757729 311515458 371032639 571111673 742065278 1113097917 1142223346 1713335019 2226195834 3426670038 4081359029 8162718058 12244077087 15212338199 24488154174 30424676398 45637014597 91274029194 167335720189 334671440378 502007160567 1004014321134