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3380863642240 = 27575471379629
BaseRepresentation
bin110001001100101011001…
…011010010101010000000
3102222012121012101221121211
4301030223023102222000
5420343002043022430
611105051453055504
7466154644541440
oct61145313225200
912865535357554
103380863642240
1110938a8429277
12467298487594
131b6a7769a216
14b98c5788120
155ce2611a72a
hex3132b2d2a80

3380863642240 has 128 divisors (see below), whose sum is σ = 9253895817600. Its totient is φ = 1157033299968.

The previous prime is 3380863642231. The next prime is 3380863642327. The reversal of 3380863642240 is 422463680833.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33808636422402 (a number of 26 digits) contains 22 as substring.

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, 1760746 + ... + 3140374.

It is an arithmetic number, because the mean of its divisors is an integer number (72296061075).

Almost surely, 23380863642240 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 3380863642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626947908800).

3380863642240 is an abundant number, since it is smaller than the sum of its proper divisors (5873032175360).

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

3380863642240 is a wasteful number, since it uses less digits than its factorization.

3380863642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380202 (or 1380190 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 49.

The spelling of 3380863642240 in words is "three trillion, three hundred eighty billion, eight hundred sixty-three million, six hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 547 560 640 896 1094 1120 2188 2240 2735 3829 4376 4480 5470 7658 8752 10940 15316 17504 19145 21880 30632 35008 38290 43760 61264 70016 76580 87520 122528 153160 175040 245056 306320 350080 490112 612640 1225280 1379629 2450560 2759258 5518516 6898145 9657403 11037032 13796290 19314806 22074064 27592580 38629612 44148128 48287015 55185160 77259224 88296256 96574030 110370320 154518448 176592512 193148060 220740640 309036896 386296120 441481280 618073792 754657063 772592240 882962560 1236147584 1509314126 1545184480 3018628252 3090368960 3773285315 5282599441 6037256504 6180737920 7546570630 10565198882 12074513008 15093141260 21130397764 24149026016 26412997205 30186282520 42260795528 48298052032 52825994410 60372565040 84521591056 96596104064 105651988820 120745130080 169043182112 211303977640 241490260160 338086364224 422607955280 482980520320 676172728448 845215910560 1690431821120 3380863642240