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3103344224040 = 2335157479334367
BaseRepresentation
bin101101001010001101101…
…110101110011100101000
3101222200021101122210122110
4231022031232232130220
5401321122110132130
610333353500522320
7440131522444644
oct55121556563450
911880241583573
103103344224040
11a97136a018a5
124215478503a0
1319684b137028
14aa2ba165c24
1555ad2369ab0
hex2d28dbae728

3103344224040 has 128 divisors (see below), whose sum is σ = 9371559720960. Its totient is φ = 822091905024.

The previous prime is 3103344224039. The next prime is 3103344224053. The reversal of 3103344224040 is 404224433013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3103344223989 and 3103344224007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90282937 + ... + 90317303.

It is an arithmetic number, because the mean of its divisors is an integer number (73215310320).

Almost surely, 23103344224040 is an apocalyptic number.

3103344224040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3103344224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685779860480).

3103344224040 is an abundant number, since it is smaller than the sum of its proper divisors (6268215496920).

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

3103344224040 is a wasteful number, since it uses less digits than its factorization.

3103344224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39331 (or 39327 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 3103344224040 its reverse (404224433013), we get a palindrome (3507568657053).

The spelling of 3103344224040 in words is "three trillion, one hundred three billion, three hundred forty-four million, two hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 3140 3768 4710 4793 6280 9420 9586 14379 18840 19172 23965 28758 34367 38344 47930 57516 68734 71895 95860 103101 115032 137468 143790 171835 191720 206202 274936 287580 343670 412404 515505 575160 687340 752501 824808 1031010 1374680 1505002 2062020 2257503 3010004 3762505 4124040 4515006 5395619 6020008 7525010 9030012 10791238 11287515 15050020 16186857 18060024 21582476 22575030 26978095 30100040 32373714 43164952 45150060 53956190 64747428 80934285 90300120 107912380 129494856 161868570 164721031 215824760 323737140 329442062 494163093 647474280 658884124 823605155 988326186 1317768248 1647210310 1976652372 2470815465 3294420620 3953304744 4941630930 6588841240 9883261860 19766523720 25861201867 51722403734 77583605601 103444807468 129306009335 155167211202 206889614936 258612018670 310334422404 387918028005 517224037340 620668844808 775836056010 1034448074680 1551672112020 3103344224040