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1422356527424 = 26789290912263
BaseRepresentation
bin10100101100101011000…
…011100011100101000000
312000222100110202001122002
4110230223003203211000
5141300441232334144
63005231020403132
7204522215000210
oct24545303434500
95028313661562
101422356527424
114a92441a7238
121ab7b43a64a8
13a4187589121
144cbb1876240
1526eeac1614e
hex14b2b0e3940

1422356527424 has 112 divisors (see below), whose sum is σ = 3263332665600. Its totient is φ = 602475810816.

The previous prime is 1422356527421. The next prime is 1422356527429. The reversal of 1422356527424 is 4247256532241.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×14223565274242 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422356527421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115981517 + ... + 115993779.

It is an arithmetic number, because the mean of its divisors is an integer number (29136898800).

Almost surely, 21422356527424 is an apocalyptic number.

1422356527424 is a gapful number since it is divisible by the number (14) 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 1422356527424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631666332800).

1422356527424 is an abundant number, since it is smaller than the sum of its proper divisors (1840976138176).

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

1422356527424 is a wasteful number, since it uses less digits than its factorization.

1422356527424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15280 (or 15270 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 47.

The spelling of 1422356527424 in words is "one trillion, four hundred twenty-two billion, three hundred fifty-six million, five hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 178 224 356 448 623 712 1246 1424 2492 2848 2909 4984 5696 5818 9968 11636 12263 19936 20363 23272 24526 39872 40726 46544 49052 81452 85841 93088 98104 162904 171682 186176 196208 258901 325808 343364 392416 517802 651616 686728 784832 1035604 1091407 1303232 1373456 1812307 2071208 2182814 2746912 3624614 4142416 4365628 5493824 7249228 7639849 8284832 8731256 14498456 15279698 16569664 17462512 28996912 30559396 34925024 35673067 57993824 61118792 69850048 71346134 115987648 122237584 142692268 244475168 249711469 285384536 488950336 499422938 570769072 998845876 1141538144 1997691752 2283076288 3174902963 3995383504 6349805926 7990767008 12699611852 15981534016 22224320741 25399223704 44448641482 50798447408 88897282964 101596894816 177794565928 203193789632 355589131856 711178263712 1422356527424