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2134436344312 = 2341101271237749
BaseRepresentation
bin11111000011110110010…
…100011111000111111000
321120001100112112201220111
4133003312110133013320
5234432311201004222
64312314014234104
7310131215401606
oct37036624370770
97501315481814
102134436344312
11753233743078
122a58024b5934
131263795857bc
1475443214876
153a7c5558777
hex1f0f651f1f8

2134436344312 has 64 divisors (see below), whose sum is σ = 4155565680000. Its totient is φ = 1027071360000.

The previous prime is 2134436344291. The next prime is 2134436344349.

2134436344312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21344363443122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8858814 + ... + 9096562.

It is an arithmetic number, because the mean of its divisors is an integer number (64930713750).

Almost surely, 22134436344312 is an apocalyptic number.

It is an amenable number.

2134436344312 is a deficient number, since it is larger than the sum of its proper divisors (2021129335688).

2134436344312 is a wasteful number, since it uses less digits than its factorization.

2134436344312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238168 (or 238164 counting only the distinct ones).

The product of its digits is 497664, while the sum is 40.

The spelling of 2134436344312 in words is "two trillion, one hundred thirty-four billion, four hundred thirty-six million, three hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 41 82 101 164 202 271 328 404 542 808 1084 2168 4141 8282 11111 16564 22222 27371 33128 44444 54742 88888 109484 218968 237749 475498 950996 1122211 1901992 2244422 4488844 8977688 9747709 19495418 24012649 38990836 48025298 64429979 77981672 96050596 128859958 192101192 257719916 515439832 984518609 1969037218 2641629139 3938074436 5283258278 6507427879 7876148872 10566516556 13014855758 21133033112 26029711516 52059423032 266804543039 533609086078 1067218172156 2134436344312