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342133330240 = 26513312653019
BaseRepresentation
bin1001111101010001011…
…11000101000101000000
31012201002212012222011201
410332220233011011000
521101142113031430
6421101320350544
733501245216002
oct4765057050500
91181085188151
10342133330240
11122109388989
1256383915454
1326355b6ba50
14127b8b94372
158d765e38ca
hex4fa8bc5140

342133330240 has 112 divisors (see below), whose sum is σ = 905677355520. Its totient is φ = 122251069440.

The previous prime is 342133330219. The next prime is 342133330243. The reversal of 342133330240 is 42033331243.

It is a happy number.

It is a super-2 number, since 2×3421333302402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342133330199 and 342133330208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342133330243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1197550 + ... + 1455469.

It is an arithmetic number, because the mean of its divisors is an integer number (8086404960).

Almost surely, 2342133330240 is an apocalyptic number.

It is an amenable number.

342133330240 is an abundant number, since it is smaller than the sum of its proper divisors (563544025280).

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

342133330240 is a wasteful number, since it uses less digits than its factorization.

342133330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653080 (or 2653070 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 342133330240 its reverse (42033331243), we get a palindrome (384166661483).

The spelling of 342133330240 in words is "three hundred forty-two billion, one hundred thirty-three million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 130 155 160 208 248 260 310 320 403 416 496 520 620 806 832 992 1040 1240 1612 1984 2015 2080 2480 3224 4030 4160 4960 6448 8060 9920 12896 16120 25792 32240 64480 128960 2653019 5306038 10612076 13265095 21224152 26530190 34489247 42448304 53060380 68978494 82243589 84896608 106120760 137956988 164487178 169793216 172446235 212241520 275913976 328974356 344892470 411217945 424483040 551827952 657948712 689784940 822435890 848966080 1069166657 1103655904 1315897424 1379569880 1644871780 2138333314 2207311808 2631794848 2759139760 3289743560 4276666628 5263589696 5345833285 5518279520 6579487120 8553333256 10691666570 11036559040 13158974240 17106666512 21383333140 26317948480 34213333024 42766666280 68426666048 85533332560 171066665120 342133330240