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3313002044144 = 241379715928163
BaseRepresentation
bin110000001101011110010…
…011110101101011110000
3102201201102210211120200202
4300031132103311223300
5413240012010403034
611013545551334332
7461233164506612
oct60153623655360
912651383746622
103313002044144
111068044314201
124560b98213a8
131b0551297a50
14b64c8b76db2
155b2a360a47e
hex3035e4f5af0

3313002044144 has 80 divisors (see below), whose sum is σ = 7001435212800. Its totient is φ = 1509457966848.

The previous prime is 3313002044123. The next prime is 3313002044221. The reversal of 3313002044144 is 4414402003133.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117622607 + ... + 117650769.

It is an arithmetic number, because the mean of its divisors is an integer number (87517940160).

Almost surely, 23313002044144 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 3313002044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500717606400).

3313002044144 is an abundant number, since it is smaller than the sum of its proper divisors (3688433168656).

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

3313002044144 is a wasteful number, since it uses less digits than its factorization.

3313002044144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35422 (or 35416 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 3313002044144 its reverse (4414402003133), we get a palindrome (7727404047277).

The spelling of 3313002044144 in words is "three trillion, three hundred thirteen billion, two million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 208 316 632 1027 1264 2054 4108 7159 8216 14318 16432 28163 28636 56326 57272 93067 112652 114544 186134 225304 366119 372268 450608 565561 732238 744536 1131122 1464476 1489072 2224877 2262244 2928952 4449754 4524488 5857904 7352293 8899508 9048976 14704586 17799016 28923401 29409172 35598032 57846802 58818344 115693604 117636688 201618917 231387208 403237834 462774416 806475668 1612951336 2621045921 3225902672 5242091842 10484183684 15927894443 20968367368 31855788886 41936734736 63711577772 127423155544 207062627759 254846311088 414125255518 828250511036 1656501022072 3313002044144