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2040134100312 = 2337112115232079
BaseRepresentation
bin11101101100000001011…
…101111110010101011000
321020000221110020101111210
4131230001131332111120
5231411143312202222
64201120310023120
7300252265504620
oct35540135762530
97200843211453
102040134100312
11717241571430
1228b484947aa0
1311a4cb339819
1470a58ba7880
1538106652d0c
hex1db0177e558

2040134100312 has 128 divisors (see below), whose sum is σ = 6388997529600. Its totient is φ = 527393462400.

The previous prime is 2040134100281. The next prime is 2040134100317. The reversal of 2040134100312 is 2130014310402.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040134100317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2226112 + ... + 3005967.

It is an arithmetic number, because the mean of its divisors is an integer number (49914043200).

Almost surely, 22040134100312 is an apocalyptic number.

2040134100312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2040134100312 is an abundant number, since it is smaller than the sum of its proper divisors (4348863429288).

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

2040134100312 is a wasteful number, since it uses less digits than its factorization.

2040134100312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5232317 (or 5232313 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2040134100312 its reverse (2130014310402), we get a palindrome (4170148410714).

The spelling of 2040134100312 in words is "two trillion, forty billion, one hundred thirty-four million, one hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 211 231 264 308 422 462 616 633 844 924 1266 1477 1688 1848 2321 2532 2954 4431 4642 5064 5908 6963 8862 9284 11816 13926 16247 17724 18568 27852 32494 35448 48741 55704 64988 97482 129976 194964 389928 5232079 10464158 15696237 20928316 31392474 36624553 41856632 57552869 62784948 73249106 109873659 115105738 125569896 146498212 172658607 219747318 230211476 292996424 345317214 402870083 439494636 460422952 690634428 805740166 878989272 1103968669 1208610249 1381268856 1611480332 2207937338 2417220498 3222960664 3311906007 4415874676 4834440996 6623812014 7727780683 8831749352 9668881992 12143655359 13247624028 15455561366 23183342049 24287310718 26495248056 30911122732 36430966077 46366684098 48574621436 61822245464 72861932154 85005587513 92733368196 97149242872 145723864308 170011175026 185466736392 255016762539 291447728616 340022350052 510033525078 680044700104 1020067050156 2040134100312