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340141013440 = 26513728127611
BaseRepresentation
bin1001111001100011111…
…10111111100111000000
31012111222000022210022121
410330301332333213000
521033102044412230
6420131510214024
733401003624134
oct4746176774700
91174860283277
10340141013440
11121286809878
1255b08654314
13260c9184877
141266a3393c4
158cab74c77a
hex4f31fbf9c0

340141013440 has 112 divisors (see below), whose sum is σ = 818806027104. Its totient is φ = 134577766400.

The previous prime is 340141013423. The next prime is 340141013441. The reversal of 340141013440 is 44310141043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340141013441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12305235 + ... + 12332845.

Almost surely, 2340141013440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340141013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409403013552).

340141013440 is an abundant number, since it is smaller than the sum of its proper divisors (478665013664).

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

340141013440 is a wasteful number, since it uses less digits than its factorization.

340141013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28046 (or 28036 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 340141013440 its reverse (44310141043), we get a palindrome (384451154483).

The spelling of 340141013440 in words is "three hundred forty billion, one hundred forty-one million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 137 160 274 281 320 548 562 685 1096 1124 1370 1405 2192 2248 2740 2810 4384 4496 5480 5620 8768 8992 10960 11240 17984 21920 22480 27611 38497 43840 44960 55222 76994 89920 110444 138055 153988 192485 220888 276110 307976 384970 441776 552220 615952 769940 883552 1104440 1231904 1539880 1767104 2208880 2463808 3079760 3782707 4417760 6159520 7565414 7758691 8835520 12319040 15130828 15517382 18913535 30261656 31034764 37827070 38793455 60523312 62069528 75654140 77586910 121046624 124139056 151308280 155173820 242093248 248278112 302616560 310347640 496556224 605233120 620695280 1062940667 1210466240 1241390560 2125881334 2482781120 4251762668 5314703335 8503525336 10629406670 17007050672 21258813340 34014101344 42517626680 68028202688 85035253360 170070506720 340141013440