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4144212133320 = 2335732369152417
BaseRepresentation
bin111100010011100110010…
…010101100010111001000
3112200011221021021010100010
4330103212102230113020
51020344321301231240
612451454052311520
7605260303626360
oct74234622542710
915604837233303
104144212133320
111358606789926
1256b2143125a0
13240a4a223cbc
1410481c1419a0
1572c018a6280
hex3c4e64ac5c8

4144212133320 has 128 divisors (see below), whose sum is σ = 14209259500800. Its totient is φ = 947213008896.

The previous prime is 4144212133277. The next prime is 4144212133483. The reversal of 4144212133320 is 233312124414.

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

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, 27113752 + ... + 27266168.

It is an arithmetic number, because the mean of its divisors is an integer number (111009839850).

Almost surely, 24144212133320 is an apocalyptic number.

4144212133320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144212133320 is an abundant number, since it is smaller than the sum of its proper divisors (10065047367480).

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

4144212133320 is a wasteful number, since it uses less digits than its factorization.

4144212133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184807 (or 184803 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 4144212133320 its reverse (233312124414), we get a palindrome (4377524257734).

The spelling of 4144212133320 in words is "four trillion, one hundred forty-four billion, two hundred twelve million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 32369 64738 97107 129476 152417 161845 194214 226583 258952 304834 323690 388428 453166 457251 485535 609668 647380 679749 762085 776856 906332 914502 971070 1066919 1132915 1219336 1294760 1359498 1524170 1812664 1829004 1942140 2133838 2265830 2286255 2718996 3048340 3200757 3398745 3658008 3884280 4267676 4531660 4572510 5334595 5437992 6096680 6401514 6797490 8535352 9063320 9145020 10669190 12803028 13594980 16003785 18290040 21338380 25606056 27189960 32007570 42676760 64015140 128030280 4933585873 9867171746 14800757619 19734343492 24667929365 29601515238 34535101111 39468686984 49335858730 59203030476 69070202222 74003788095 98671717460 103605303333 118406060952 138140404444 148007576190 172675505555 197343434920 207210606666 276280808888 296015152380 345351011110 414421213332 518026516665 592030304760 690702022220 828842426664 1036053033330 1381404044440 2072106066660 4144212133320