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1422410354440 = 2351779175915053
BaseRepresentation
bin10100101100101110010…
…000111000111100001000
312000222111020000202102021
4110230232100320330020
5141301044022320230
63005240222214224
7204523440344245
oct24545620707410
95028436022367
101422410354440
114a9271621279
121ab80a424374
13a419578442a
144cbb8a885cc
15270007e9c7a
hex14b2e438f08

1422410354440 has 128 divisors (see below), whose sum is σ = 3433757184000. Its totient is φ = 528381554688.

The previous prime is 1422410354429. The next prime is 1422410354459. The reversal of 1422410354440 is 444530142241.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1422410354396 and 1422410354405.

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, 94485954 + ... + 94501006.

It is an arithmetic number, because the mean of its divisors is an integer number (26826228000).

Almost surely, 21422410354440 is an apocalyptic number.

1422410354440 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 1422410354440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716878592000).

1422410354440 is an abundant number, since it is smaller than the sum of its proper divisors (2011346829560).

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

1422410354440 is a wasteful number, since it uses less digits than its factorization.

1422410354440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16919 (or 16915 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 1422410354440 its reverse (444530142241), we get a palindrome (1866940496681).

The spelling of 1422410354440 in words is "one trillion, four hundred twenty-two billion, four hundred ten million, three hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 79 85 136 158 170 316 340 395 632 680 790 1343 1580 1759 2686 3160 3518 5372 6715 7036 8795 10744 13430 14072 15053 17590 26860 29903 30106 35180 53720 59806 60212 70360 75265 119612 120424 138961 149515 150530 239224 255901 277922 299030 301060 511802 555844 598060 602120 694805 1023604 1111688 1189187 1196120 1279505 1389610 2047208 2362337 2378374 2559010 2779220 4724674 4756748 5118020 5558440 5945935 9449348 9513496 10236040 11811685 11891870 18898696 20216179 23623370 23783740 26478227 40432358 47246740 47567480 52956454 80864716 94493480 101080895 105912908 132391135 161729432 202161790 211825816 264782270 404323580 450129859 529564540 808647160 900259718 1059129080 1800519436 2091779933 2250649295 3601038872 4183559866 4501298590 8367119732 9002597180 10458899665 16734239464 18005194360 20917799330 35560258861 41835598660 71120517722 83671197320 142241035444 177801294305 284482070888 355602588610 711205177220 1422410354440