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3113035504000 = 2753544135759
BaseRepresentation
bin101101010011001111011…
…000000001100110000000
3102000121021210111211111021
4231103033120001212000
5402000444042112000
610342035254355224
7440623631121322
oct55231730014600
912017253454437
103113035504000
11aa025a426984
124233b135bb14
13197733b92606
14aa9592c5612
1555e9d09511a
hex2d4cf601980

3113035504000 has 128 divisors (see below), whose sum is σ = 7741423497600. Its totient is φ = 1244950528000.

The previous prime is 3113035503989. The next prime is 3113035504037. The reversal of 3113035504000 is 4055303113.

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

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 87038121 + ... + 87073879.

It is an arithmetic number, because the mean of its divisors is an integer number (60479871075).

Almost surely, 23113035504000 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 3113035504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870711748800).

3113035504000 is an abundant number, since it is smaller than the sum of its proper divisors (4628387993600).

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

3113035504000 is an equidigital number, since it uses as much as digits as its factorization.

3113035504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41229 (or 41207 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The spelling of 3113035504000 in words is "three trillion, one hundred thirteen billion, thirty-five million, five hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 5441 8000 10882 16000 21764 27205 35759 43528 54410 71518 87056 108820 136025 143036 174112 178795 217640 272050 286072 348224 357590 435280 544100 572144 680125 696448 715180 870560 893975 1088200 1144288 1360250 1430360 1741120 1787950 2176400 2288576 2720500 2860720 3482240 3575900 4352800 4469875 4577152 5441000 5721440 7151800 8705600 8939750 10882000 11442880 14303600 17411200 17879500 21764000 22885760 28607200 35759000 43528000 57214400 71518000 87056000 114428800 143036000 194564719 286072000 389129438 572144000 778258876 972823595 1556517752 1945647190 3113035504 3891294380 4864117975 6226071008 7782588760 9728235950 12452142016 15565177520 19456471900 24320589875 24904284032 31130355040 38912943800 48641179750 62260710080 77825887600 97282359500 124521420160 155651775200 194564719000 311303550400 389129438000 622607100800 778258876000 1556517752000 3113035504000