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4144102213320 = 233451591980347
BaseRepresentation
bin111100010011011111101…
…111011000011011001000
3112200011122121102121110000
4330103133233120123020
51020344110131311240
612451435124323000
7605254500420036
oct74233757303310
915604577377400
104144102213320
11135855a732353
1256b1a3543460
13240a30519194
1410480b6cb556
1572be6de2430
hex3c4dfbd86c8

4144102213320 has 160 divisors (see below), whose sum is σ = 13929836342400. Its totient is φ = 1105010750592.

The previous prime is 4144102213261. The next prime is 4144102213337. The reversal of 4144102213320 is 233122014414.

4144102213320 is a `hidden beast` number, since 4 + 1 + 4 + 410 + 2 + 213 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51537387 + ... + 51617733.

It is an arithmetic number, because the mean of its divisors is an integer number (87061477140).

Almost surely, 24144102213320 is an apocalyptic number.

4144102213320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144102213320 is an abundant number, since it is smaller than the sum of its proper divisors (9785734129080).

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

4144102213320 is a wasteful number, since it uses less digits than its factorization.

4144102213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96289 (or 96276 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4144102213320 its reverse (233122014414), we get a palindrome (4377224227734).

The spelling of 4144102213320 in words is "four trillion, one hundred forty-four billion, one hundred two million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 15919 31838 47757 63676 79595 80347 95514 127352 143271 159190 160694 191028 238785 241041 286542 318380 321388 382056 401735 429813 477570 482082 573084 636760 642776 716355 723123 803470 859626 955140 964164 1146168 1205205 1289439 1432710 1446246 1606940 1719252 1910280 1928328 2149065 2169369 2410410 2578878 2865420 2892492 3213880 3438504 3615615 4298130 4338738 4820820 5157756 5730840 5784984 6447195 6508107 7231230 8596260 8677476 9641640 10315512 10846845 12894390 13016214 14462460 17192520 17354952 21693690 25788780 26032428 28924920 32540535 43387380 51577560 52064856 65081070 86774760 130162140 260324280 1279043893 2558087786 3837131679 5116175572 6395219465 7674263358 10232351144 11511395037 12790438930 15348526716 19185658395 23022790074 25580877860 30697053432 34534185111 38371316790 46045580148 51161755720 57556975185 69068370222 76742633580 92091160296 103602555333 115113950370 138136740444 153485267160 172670925555 207205110666 230227900740 276273480888 345341851110 414410221332 460455801480 518012776665 690683702220 828820442664 1036025553330 1381367404440 2072051106660 4144102213320