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142424413301120 = 2751575032817973
BaseRepresentation
bin100000011000100011000100…
…100011111110100110000000
3200200021122022020120221210212
4200120203010203332212000
5122131440144301113440
61222524512222013252
741666552506236146
oct4030430443764600
9620248266527725
10142424413301120
1141420944347945
1213b8297ba17228
1361617453c9cc2
142725542403596
15116ebbc2e3465
hex8188c48fe980

142424413301120 has 128 divisors (see below), whose sum is σ = 343333385519040. Its totient is φ = 56494341955584.

The previous prime is 142424413301101. The next prime is 142424413301147. The reversal of 142424413301120 is 21103314424241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49132454 + ... + 51950426.

Almost surely, 2142424413301120 is an apocalyptic number.

142424413301120 is a gapful number since it is divisible by the number (10) 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 142424413301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171666692759520).

142424413301120 is an abundant number, since it is smaller than the sum of its proper divisors (200908972217920).

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

142424413301120 is a wasteful number, since it uses less digits than its factorization.

142424413301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818652 (or 2818640 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 142424413301120 its reverse (21103314424241), we get a palindrome (163527727725361).

The spelling of 142424413301120 in words is "one hundred forty-two trillion, four hundred twenty-four billion, four hundred thirteen million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 314 320 503 628 640 785 1006 1256 1570 2012 2512 2515 3140 4024 5024 5030 6280 8048 10048 10060 12560 16096 20096 20120 25120 32192 40240 50240 64384 78971 80480 100480 157942 160960 315884 321920 394855 631768 789710 1263536 1579420 2527072 2817973 3158840 5054144 5635946 6317680 10108288 11271892 12635360 14089865 22543784 25270720 28179730 45087568 50541440 56359460 90175136 112718920 180350272 225437840 360700544 442421761 450875680 884843522 901751360 1417440419 1769687044 1803502720 2212108805 2834880838 3539374088 4424217610 5669761676 7078748176 7087202095 8848435220 11339523352 14157496352 14174404190 17696870440 22679046704 28314992704 28348808380 35393740880 45358093408 56629985408 56697616760 70787481760 90716186816 113395233520 141574963520 181432373632 222538145783 226790467040 283149927040 445076291566 453580934080 890152583132 907161868160 1112690728915 1780305166264 2225381457830 3560610332528 4450762915660 7121220665056 8901525831320 14242441330112 17803051662640 28484882660224 35606103325280 71212206650560 142424413301120