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1424121320440 = 2357132317010527
BaseRepresentation
bin10100101110010100001…
…111101101001111111000
312001010220110111211112101
4110232110033231033320
5141313100024223230
63010122102153144
7204614024331310
oct24562417551770
95033813454471
101424121320440
114a9a6a3a4365
121b00074227b4
13a43a90a0150
144ccdbdc6440
15270a0b17aca
hex14b943ed3f8

1424121320440 has 128 divisors (see below), whose sum is σ = 4115186933760. Its totient is φ = 431114770944.

The previous prime is 1424121320387. The next prime is 1424121320449. The reversal of 1424121320440 is 440231214241.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1424121320399 and 1424121320408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424121320449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8421544 + ... + 8588983.

It is an arithmetic number, because the mean of its divisors is an integer number (32149897920).

Almost surely, 21424121320440 is an apocalyptic number.

1424121320440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1424121320440 is an abundant number, since it is smaller than the sum of its proper divisors (2691065613320).

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

1424121320440 is a wasteful number, since it uses less digits than its factorization.

1424121320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17010581 (or 17010577 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1424121320440 its reverse (440231214241), we get a palindrome (1864352534681).

The spelling of 1424121320440 in words is "one trillion, four hundred twenty-four billion, one hundred twenty-one million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 23 26 28 35 40 46 52 56 65 70 91 92 104 115 130 140 161 182 184 230 260 280 299 322 364 455 460 520 598 644 728 805 910 920 1196 1288 1495 1610 1820 2093 2392 2990 3220 3640 4186 5980 6440 8372 10465 11960 16744 20930 41860 83720 17010527 34021054 68042108 85052635 119073689 136084216 170105270 221136851 238147378 340210540 391242121 442273702 476294756 595368445 680421080 782484242 884547404 952589512 1105684255 1190736890 1547957957 1564968484 1769094808 1956210605 2211368510 2381473780 2738694847 3095915914 3129936968 3912421210 4422737020 4762947560 5086147573 5477389694 6191831828 7739789785 7824842420 8845474040 10172295146 10954779388 12383663656 13693474235 15479579570 15649684840 20344590292 21909558776 25430737865 27386948470 30959159140 35603033011 40689180584 50861475730 54773896940 61918318280 71206066022 101722951460 109547793880 142412132044 178015165055 203445902920 284824264088 356030330110 712060660220 1424121320440