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334313411432 = 237111352379823
BaseRepresentation
bin1001101110101101010…
…00011101001101101000
31011221220212122221020012
410313112220131031220
520434133213131212
6413325332351052
733103412052620
oct4672650351550
91157825587205
10334313411432
11119866229170
1254960a75488
13256aaa2a760
14122763a5880
158a69d1a922
hex4dd6a1d368

334313411432 has 128 divisors (see below), whose sum is σ = 843247964160. Its totient is φ = 120001201920.

The previous prime is 334313411431. The next prime is 334313411437. The reversal of 334313411432 is 234114313433.

It is a happy number.

It is a super-2 number, since 2×3343134114322 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334313411431) 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, 4148273 + ... + 4228095.

It is an arithmetic number, because the mean of its divisors is an integer number (6587874720).

Almost surely, 2334313411432 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 334313411432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421623982080).

334313411432 is an abundant number, since it is smaller than the sum of its proper divisors (508934552728).

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

334313411432 is a wasteful number, since it uses less digits than its factorization.

334313411432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80383 (or 80379 counting only the distinct ones).

The product of its digits is 31104, while the sum is 32.

Adding to 334313411432 its reverse (234114313433), we get a palindrome (568427724865).

The spelling of 334313411432 in words is "three hundred thirty-four billion, three hundred thirteen million, four hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 523 572 616 728 1001 1046 1144 2002 2092 3661 4004 4184 5753 6799 7322 8008 11506 13598 14644 23012 27196 29288 40271 46024 47593 54392 74789 79823 80542 95186 149578 159646 161084 190372 299156 319292 322168 380744 523523 558761 598312 638584 878053 1037699 1047046 1117522 1756106 2075398 2094092 2235044 3512212 4150796 4188184 4470088 6146371 7024424 7263893 8301592 11414689 12292742 14527786 22829378 24585484 29055572 41747429 45658756 49170968 58111144 79902823 83494858 91317512 159805646 166989716 292232003 319611292 333979432 459221719 542716577 584464006 639222584 918443438 1085433154 1168928012 1836886876 2170866308 2337856024 3214552033 3673773752 3799016039 4341732616 5969882347 6429104066 7598032078 11939764694 12858208132 15196064156 23879529388 25716416264 30392128312 41789176429 47759058776 83578352858 167156705716 334313411432