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1422410210320 = 2451119208740763
BaseRepresentation
bin10100101100101110010…
…000010101110000010000
312000222111012202102201111
4110230232100111300100
5141301044003212240
63005240215143104
7204523436204131
oct24545620256020
95028435672644
101422410210320
114a9271532a70
121ab80a374a94
13a4195733958
144cbb8a4bc88
15270007bc1ea
hex14b2e415c10

1422410210320 has 160 divisors (see below), whose sum is σ = 3799543956480. Its totient is φ = 489770104320.

The previous prime is 1422410210293. The next prime is 1422410210327. The reversal of 1422410210320 is 230120142241.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1422410210291 and 1422410210300.

It is not an unprimeable number, because it can be changed into a prime (1422410210327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34874259 + ... + 34915021.

It is an arithmetic number, because the mean of its divisors is an integer number (23747149728).

Almost surely, 21422410210320 is an apocalyptic number.

1422410210320 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 1422410210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899771978240).

1422410210320 is an abundant number, since it is smaller than the sum of its proper divisors (2377133746160).

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

1422410210320 is a wasteful number, since it uses less digits than its factorization.

1422410210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42893 (or 42887 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1422410210320 its reverse (230120142241), we get a palindrome (1652530352561).

The spelling of 1422410210320 in words is "one trillion, four hundred twenty-two billion, four hundred ten million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2087 2090 3344 4174 4180 8348 8360 10435 16696 16720 20870 22957 33392 39653 40763 41740 45914 79306 81526 83480 91828 114785 158612 163052 166960 183656 198265 203815 229570 317224 326104 367312 396530 407630 436183 448393 459140 634448 652208 774497 793060 815260 872366 896786 918280 1548994 1586120 1630520 1744732 1793572 1836560 2180915 2241965 3097988 3172240 3261040 3489464 3587144 3872485 4361830 4483930 6195976 6978928 7174288 7744970 8519467 8723660 8967860 12391952 15489940 17038934 17447320 17935720 30979880 34077868 34894640 35871440 42597335 61959760 68155736 85072381 85194670 136311472 170144762 170389340 340289524 340778680 425361905 680579048 681557360 850723810 935796191 1361158096 1616375239 1701447620 1871592382 3232750478 3402895240 3743184764 4678980955 6465500956 6805790480 7486369528 8081876195 9357961910 12931001912 14972739056 16163752390 17780127629 18715923820 25862003824 32327504780 35560255258 37431847640 64655009560 71120510516 74863695280 88900638145 129310019120 142241021032 177801276290 284482042064 355602552580 711205105160 1422410210320