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3140413311204 = 22321319487725201
BaseRepresentation
bin101101101100101111001…
…110000100100011100100
3102010012221210200112120200
4231230233032010203210
5402423031301424304
610402404100030500
7442613240465241
oct55545716044344
912105853615520
103140413311204
111000929497724
12428772092430
1319a1a7c14230
14abdd53925c8
1556a518a7e39
hex2db2f3848e4

3140413311204 has 144 divisors (see below), whose sum is σ = 9017335716480. Its totient is φ = 913543142400.

The previous prime is 3140413311173. The next prime is 3140413311251. The reversal of 3140413311204 is 4021133140413.

3140413311204 is a `hidden beast` number, since 3 + 1 + 40 + 413 + 3 + 1 + 1 + 204 = 666.

3140413311204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3967804 + ... + 4693004.

It is an arithmetic number, because the mean of its divisors is an integer number (62620386920).

Almost surely, 23140413311204 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 3140413311204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508667858240).

3140413311204 is an abundant number, since it is smaller than the sum of its proper divisors (5876922405276).

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

3140413311204 is a wasteful number, since it uses less digits than its factorization.

3140413311204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725730 (or 725725 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3140413311204 its reverse (4021133140413), we get a palindrome (7161546451617).

The spelling of 3140413311204 in words is "three trillion, one hundred forty billion, four hundred thirteen million, three hundred eleven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 487 494 684 741 974 988 1461 1482 1948 2223 2922 2964 4383 4446 5844 6331 8766 8892 9253 12662 17532 18506 18993 25324 27759 37012 37986 55518 56979 75972 83277 111036 113958 120289 166554 227916 240578 333108 360867 481156 721734 725201 1082601 1443468 1450402 2165202 2175603 2900804 4330404 4351206 6526809 8702412 9427613 13053618 13778819 18855226 26107236 27557638 28282839 37710452 41336457 55115276 56565678 82672914 84848517 113131356 124009371 165345828 169697034 179124647 248018742 339394068 353172887 358249294 496037484 537373941 706345774 716498588 1059518661 1074747882 1412691548 1612121823 2119037322 2149495764 3178555983 3224243646 4238074644 4591247531 6357111966 6448487292 6710284853 9182495062 12714223932 13420569706 13773742593 18364990124 20130854559 26841139412 27547485186 40261709118 41321227779 55094970372 60392563677 80523418236 82642455558 87233703089 120785127354 165284911116 174467406178 241570254708 261701109267 348934812356 523402218534 785103327801 1046804437068 1570206655602 3140413311204