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140134343104 = 2673976171277
BaseRepresentation
bin1000001010000010101…
…0000110000111000000
3111101201012111012211201
42002200222012013000
54243443342434404
6144213221150544
713060442156110
oct2024052060700
9441635435751
10140134343104
11544812020a8
12231aa85b454
13102a366b562
146ad53dd040
1539a290bca4
hex20a0a861c0

140134343104 has 112 divisors (see below), whose sum is σ = 319371463872. Its totient is φ = 59762368512.

The previous prime is 140134343099. The next prime is 140134343113. The reversal of 140134343104 is 401343431041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109736514 + ... + 109737790.

Almost surely, 2140134343104 is an apocalyptic number.

140134343104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140134343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159685731936).

140134343104 is an abundant number, since it is smaller than the sum of its proper divisors (179237120768).

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

140134343104 is a wasteful number, since it uses less digits than its factorization.

140134343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 140134343104 its reverse (401343431041), we get a palindrome (541477774145).

The spelling of 140134343104 in words is "one hundred forty billion, one hundred thirty-four million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 397 448 617 794 1234 1277 1588 2468 2554 2779 3176 4319 4936 5108 5558 6352 8638 8939 9872 10216 11116 12704 17276 17878 19744 20432 22232 25408 34552 35756 39488 40864 44464 69104 71512 81728 88928 138208 143024 177856 244949 276416 286048 489898 506969 572096 787909 979796 1013938 1575818 1714643 1959592 2027876 3151636 3429286 3548783 3919184 4055752 5515363 6303272 6858572 7097566 7838368 8111504 11030726 12606544 13717144 14195132 15676736 16223008 22061452 25213088 27434288 28390264 32446016 44122904 50426176 54868576 56780528 88245808 109737152 113561056 176491616 227122112 312799873 352983232 625599746 1251199492 2189599111 2502398984 4379198222 5004797968 8758396444 10009595936 17516792888 20019191872 35033585776 70067171552 140134343104