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4112244334000 = 2453111371364381
BaseRepresentation
bin111011110101110100110…
…111001101110110110000
3112120010102101012122202201
4323311310313031312300
51014333334022142000
612425050003352544
7603046151051305
oct73656467156660
915503371178681
104112244334000
111345aa17a2070
12564b92382754
1323aa2427a40a
141030686210ac
1571e8012a96a
hex3bd74dcddb0

4112244334000 has 160 divisors (see below), whose sum is σ = 10926538638912. Its totient is φ = 1484445440000.

The previous prime is 4112244333997. The next prime is 4112244334019. The reversal of 4112244334000 is 4334422114.

It is a self number, because there is not a number n which added to its sum of digits gives 4112244334000.

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, 2331810 + ... + 3696190.

Almost surely, 24112244334000 is an apocalyptic number.

4112244334000 is a gapful number since it is divisible by the number (40) 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 4112244334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463269319456).

4112244334000 is an abundant number, since it is smaller than the sum of its proper divisors (6814294304912).

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

4112244334000 is a wasteful number, since it uses less digits than its factorization.

4112244334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364552 (or 1364536 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4112244334000 its reverse (4334422114), we get a palindrome (4116578756114).

The spelling of 4112244334000 in words is "four trillion, one hundred twelve billion, two hundred forty-four million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 137 176 200 220 250 274 275 400 440 500 548 550 685 880 1000 1096 1100 1370 1375 1507 2000 2192 2200 2740 2750 3014 3425 4400 5480 5500 6028 6850 7535 10960 11000 12056 13700 15070 17125 22000 24112 27400 30140 34250 37675 54800 60280 68500 75350 120560 137000 150700 188375 274000 301400 376750 602800 753500 1364381 1507000 2728762 3014000 5457524 6821905 10915048 13643810 15008191 21830096 27287620 30016382 34109525 54575240 60032764 68219050 75040955 109150480 120065528 136438100 150081910 170547625 186920197 240131056 272876200 300163820 341095250 373840394 375204775 545752400 600327640 682190500 747680788 750409550 934600985 1200655280 1364381000 1495361576 1500819100 1869201970 1876023875 2056122167 2728762000 2990723152 3001638200 3738403940 3752047750 4112244334 4673004925 6003276400 7476807880 7504095500 8224488668 9346009850 10280610835 14953615760 15008191000 16448977336 18692019700 20561221670 23365024625 30016382000 32897954672 37384039400 41122443340 46730049250 51403054175 74768078800 82244886680 93460098500 102806108350 164489773360 186920197000 205612216700 257015270875 373840394000 411224433400 514030541750 822448866800 1028061083500 2056122167000 4112244334000