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3344020413520 = 245193428950497
BaseRepresentation
bin110000101010010111001…
…001100001110001010000
3102211200111112101000020011
4300222113021201301100
5414242023211213040
611040115522524304
7463411641344443
oct60522711416120
912750445330204
103344020413520
11107a211388216
12460115806694
131b345562c177
14b7bcc55165a
155bebb8433ea
hex30a97261c50

3344020413520 has 80 divisors (see below), whose sum is σ = 7817108579280. Its totient is φ = 1330340954112.

The previous prime is 3344020413421. The next prime is 3344020413551. The reversal of 3344020413520 is 253140204433.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 79537536576 + 3264482876944 = 282024^2 + 1806788^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33440204135202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 66196912 + ... + 66247408.

It is an arithmetic number, because the mean of its divisors is an integer number (97713857241).

Almost surely, 23344020413520 is an apocalyptic number.

It is an amenable number.

3344020413520 is an abundant number, since it is smaller than the sum of its proper divisors (4473088165760).

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

3344020413520 is a wasteful number, since it uses less digits than its factorization.

3344020413520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54992 (or 54986 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 3344020413520 its reverse (253140204433), we get a palindrome (3597160617953).

The spelling of 3344020413520 in words is "three trillion, three hundred forty-four billion, twenty million, four hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1930 3088 3860 4289 7720 8578 15440 17156 21445 34312 42890 50497 68624 85780 100994 171560 201988 252485 343120 403976 504970 807952 827777 1009940 1655554 2019880 3311108 4039760 4138885 6622216 8277770 9745921 13244432 16555540 19491842 33111080 38983684 48729605 66222160 77967368 97459210 155934736 194918420 216581633 389836840 433163266 779673680 866326532 1082908165 1732653064 2165816330 3465306128 4331632660 8663265320 17326530640 41800255169 83600510338 167201020676 209001275845 334402041352 418002551690 668804082704 836005103380 1672010206760 3344020413520