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334311341120 = 2652936024929
BaseRepresentation
bin1001101110101101000…
…00100011110001000000
31011221220201202202021222
410313112200203301000
520434132200403440
6413325220134212
733103355341001
oct4672640436100
91157821682258
10334311341120
11119865044769
1254960237368
13256aa484313
1412275dc71a8
158a69a5c2b5
hex4dd6823c40

334311341120 has 56 divisors (see below), whose sum is σ = 823529899800. Its totient is φ = 129113341952.

The previous prime is 334311341113. The next prime is 334311341183. The reversal of 334311341120 is 21143113433.

It can be written as a sum of positive squares in 4 ways, for example, as 15529147456 + 318782193664 = 124616^2 + 564608^2 .

It is a super-2 number, since 2×3343113411202 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334311341120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18003185 + ... + 18021744.

Almost surely, 2334311341120 is an apocalyptic number.

It is an amenable number.

334311341120 is an abundant number, since it is smaller than the sum of its proper divisors (489218558680).

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

334311341120 is a wasteful number, since it uses less digits than its factorization.

334311341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36024975 (or 36024965 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 334311341120 its reverse (21143113433), we get a palindrome (355454454553).

The spelling of 334311341120 in words is "three hundred thirty-four billion, three hundred eleven million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 36024929 72049858 144099716 180124645 288199432 360249290 576398864 720498580 1044722941 1152797728 1440997160 2089445882 2305595456 2881994320 4178891764 5223614705 5763988640 8357783528 10447229410 11527977280 16715567056 20894458820 33431134112 41788917640 66862268224 83577835280 167155670560 334311341120