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3140312511420 = 22325710723292631
BaseRepresentation
bin101101101100101001001…
…101100011001110111100
3102010012200210000101021100
4231230221031203032330
5402422330000331140
610402350055333100
7442610604632310
oct55545115431674
912105623011240
103140312511420
1110008875aa317
12428744381190
1319a1900806a6
14abdc5c33b40
1556a47ae6530
hex2db293633bc

3140312511420 has 144 divisors (see below), whose sum is σ = 10988159390208. Its totient is φ = 711077408640.

The previous prime is 3140312511389. The next prime is 3140312511431. The reversal of 3140312511420 is 241152130413.

3140312511420 is a `hidden beast` number, since 3 + 1 + 403 + 1 + 251 + 1 + 4 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11511496 + ... + 11781135.

It is an arithmetic number, because the mean of its divisors is an integer number (76306662432).

Almost surely, 23140312511420 is an apocalyptic number.

3140312511420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3140312511420 is an abundant number, since it is smaller than the sum of its proper divisors (7847846878788).

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

3140312511420 is a wasteful number, since it uses less digits than its factorization.

3140312511420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23292760 (or 23292755 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 3140312511420 its reverse (241152130413), we get a palindrome (3381464641833).

The spelling of 3140312511420 in words is "three trillion, one hundred forty billion, three hundred twelve million, five hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 107 126 140 180 210 214 252 315 321 420 428 535 630 642 749 963 1070 1260 1284 1498 1605 1926 2140 2247 2996 3210 3745 3852 4494 4815 6420 6741 7490 8988 9630 11235 13482 14980 19260 22470 26964 33705 44940 67410 134820 23292631 46585262 69877893 93170524 116463155 139755786 163048417 209633679 232926310 279511572 326096834 349389465 419267358 465852620 489145251 652193668 698778930 815242085 838534716 978290502 1048168395 1397557860 1467435753 1630484170 1956581004 2096336790 2445726255 2492311517 2934871506 3260968340 4192673580 4891452510 4984623034 5869743012 7337178765 7476934551 9782905020 9969246068 12461557585 14674357530 14953869102 17446180619 22430803653 24923115170 29348715060 29907738204 34892361238 37384672755 44861607306 49846230340 52338541857 69784722476 74769345510 87230903095 89723214612 104677083714 112154018265 149538691020 157015625571 174461806190 209354167428 224308036530 261692709285 314031251142 348923612380 448616073060 523385418570 628062502284 785078127855 1046770837140 1570156255710 3140312511420